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Physics Review 2012. 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 2012. 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 2012

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 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

53 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

54 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

55 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

56 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

57 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

58 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

59 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

60 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

61 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

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 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

73 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

74 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

75 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

76 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

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 - 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

81 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

82 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

83 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

84 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

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 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 )

91 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 )

92 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 )

93 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 )

94 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 )

95 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 )

96 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 )

97 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

98 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

99 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

100 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

101 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

102 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

103 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

104 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

105 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

106 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

107 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

108 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

109 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

110 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

111 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

112 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

113 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

114 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

115 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

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

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

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

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

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

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

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

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

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

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

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

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

130 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

131 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

132 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

133 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

134 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

135 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

136 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

137 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

138 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

139 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

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

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

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

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

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

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 acceleration

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

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

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

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

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

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

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

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

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

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

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

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

162 Kinematics / Dynamics Relationships Distance/DisplacementTimeMass m/s

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

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

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

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

167 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

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

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

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

171 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

172 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

173 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 /

174 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

175 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

176 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

177 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

178 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

179 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

180 Graphical Analysis Position Time

181 Graphical Analysis Position Time

182 Graphical Analysis Position Time

183 stopped Position Time

184 Graphical Analysis Position Time

185 Constant velocity –constant momentum – no acceleration Position Time

186 Graphical Analysis Position Time

187 Constant velocity – constant momentum – no acceleration Position Time

188 Graphical Analysis Position Time

189 Increasing velocity – increasing momentum - accelerating Position Time

190 Graphical Analysis Position Time

191 Increasing velocity – increasing momentum - accelerating Position Time

192 Graphical Analysis Position Time

193 Decreasing velocity – decreasing momentum - decelerating Position Time

194 Graphical Analysis Position Time

195 Decreasing velocity – decreasing momentum - decelerating Position Time

196 Graphical Analysis O m/s

197 Velocity vs Time Velocity 0 m/s time

198 Stopped O m/s

199 Accelerating O m/s

200 accelerating O m/s

201 decelerating O m/s

202 decelerating O m/s

203 Constant velocity O m/s

204 Constant Velocity O m/s

205 Graphical Analysis Slopes Postion time

206 Slope = velocity Postion time

207 Velocity vs Time Slope Velocity time

208 Slope of V vs T = Acceleration Velocity time

209 Area of V vs T = ? Velocity time

210 Area of V vs T = Distance traveled Velocity time

211 Area of V vs T = Distance traveled Velocity time

212 Force vs Distance Force Distance

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

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

215 Force vs Distance Force Area = Work Distance


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