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Physics Review 2009. Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path.

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Presentation on theme: "Physics Review 2009. Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path."— Presentation transcript:

1 Physics Review 2009

2 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

3 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

4 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

5 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

6 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

7 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

8 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

9 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

10 Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

11 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

12 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

13 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

14 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

15 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

16 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

17 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

18 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

19 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

20 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

21 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

22 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

23 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

24 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

25 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

26 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

27 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

28 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

29 Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

30 Calculated Values Weight = Force due to Gravity = product of mass and acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

31 Calculated Values Weight = Force due to Gravity = product of mass and acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

32 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

33 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

34 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

35 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

36 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

37 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

38 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

39 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

40 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

41 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

42 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

43 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

44 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

45 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

46 Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

47 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

48 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

49 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

50 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

51 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

52 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

53 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

54 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

55 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

56 Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

57 labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

58 labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

59 labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

60 labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

61 labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

62 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

63 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

64 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

65 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

66 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

67 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

68 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

69 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

70 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

71 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

72 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

73 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

74 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

75 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

76 Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

77 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

78 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

79 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

80 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

81 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

82 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

83 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

84 Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

85 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

86 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

87 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

88 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

89 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

90 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

91 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

92 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

93 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

94 Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

95 Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula=a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g –  mg ( m f + m b )

96 Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula= a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g –  mg ( m f + m b )

97 Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula= a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g –  m b g ( m f + m b )

98 Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g cos  –  m b g sin   ( m f + m b )

99 Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g cos  –  m b g sin   ( m f + m b )

100 Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g cos  –  m b g sin   ( m f + m b )

101 Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g sin  m b g cos   ( m f + m b )

102 Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

103 Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

104 Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

105 Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

106 Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

107 Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

108 Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

109 Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

110 Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

111 Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

112 Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

113 Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

114 Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

115 Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

116 Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

117 Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

118 Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

119 Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

120 Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

121 Force concept maps Non contact forces  Force due to gravity  Electrostatic and Magnostatic forces  Strong and Weak nuclear force

122 Force concept maps Non contact forces  Force due to gravity  Electrostatic and Magnostatic forces  Strong and Weak nuclear force

123 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

124 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

125 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

126 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

127 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

128 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

129 Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

130 Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

131 Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

132 Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

133 Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

134 Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

135 Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

136 Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

137 Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

138 Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

139 Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

140 Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

141 Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

142 Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

143 Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

144 Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

145 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

146 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

147 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

148 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

149 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

150 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

151 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

152 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

153 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

154 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration

155 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum

156 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum

157 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum (Change)

158 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum (Change) Force

159 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force

160 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force

161 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force

162 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work /

163 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy

164 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy

165 Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy Power

166 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity

167 Kinematics / Dynamics Relationships Distance/DisplacementTimeMass m/s

168 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s m/s/s=m/s 2

169 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity = m/s Acceleration =m/s 2

170 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s kg m/s Acceleration= m/s 2

171 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s kg m/s-momentum Acceleration= m/s 2

172 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 kg m/s/s=kg m/s 2

173 Kinematics / Dynamics Relationships Distance/DisplacementTimeMass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2

174 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 kg m/s 2

175 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton =kg m/s 2

176 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force= Newtons=kg m/s 2 N m = Kg m/s 2 m

177 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newtons = kg m/s 2 N m = Kg m 2 /s 2

178 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2 Work /

179 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2 Work / Energy = Joule = N m = kg m 2 /s 2

180 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s

181 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3

182 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J s s

183 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J = W s s

184 Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 Power kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J = W s s

185 Graphical Analysis Position Time

186 Graphical Analysis Position Time

187 Graphical Analysis Position Time

188 stopped Position Time

189 Graphical Analysis Position Time

190 Constant velocity –constant momentum – no acceleration Position Time

191 Graphical Analysis Position Time

192 Constant velocity – constant momentum – no acceleration Position Time

193 Graphical Analysis Position Time

194 Increasing velocity – increasing momentum - accelerating Position Time

195 Graphical Analysis Position Time

196 Increasing velocity – increasing momentum - accelerating Position Time

197 Graphical Analysis Position Time

198 Decreasing velocity – decreasing momentum - decelerating Position Time

199 Graphical Analysis Position Time

200 Decreasing velocity – decreasing momentum - decelerating Position Time

201 Graphical Analysis O m/s

202 Velocity vs Time Velocity 0 m/s time

203 Stopped O m/s

204 Accelerating O m/s

205 accelerating O m/s

206 decelerating O m/s

207 decelerating O m/s

208 Constant velocity O m/s

209 Constant Velocity O m/s

210 Graphical Analysis Slopes Postion time

211 Slope = velocity Postion time

212 Velocity vs Time Slope Velocity time

213 Slope of V vs T = Acceleration Velocity time

214 Area of V vs T = ? Velocity time

215 Area of V vs T = Distance traveled Velocity time

216 Area of V vs T = Distance traveled Velocity time

217 Force vs Distance Force Distance

218 Force vs Distance Force spring constant K = N m Distance

219 Force vs Distance Force E.P.E=1/2 Kx 2 Distance

220 Force vs Distance Force Area = Work Distance


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