1. Physics

2. Pendulum Lab What is the relationship between the length and the period of a pendulum?

3. Pendulum Lab What is the relationship between the length and the period of a pendulum? (Draw a picture)

4. Pendulum Lab What is the relationship between the length and the period of a pendulum? (Draw a picture) Define: Length Period=time for one full swing, forward and back

5. Pendulum Lab What is the relationship between the length and the period of a pendulum? Data: Measure and record a length, measure and record its period Length (cm)Period (s)

6. A few thoughts: – Find many data points – Use the full range – Repeat trials to reduce uncertainty – Control your protocol

7. Length (cm)Period (s) A few thoughts: – Find many data points – Use the full range – Repeat trials to reduce uncertainty – Control your protocol

8. Length (cm)Period (s) Length (cm)Period x 10 (s) 42.313.32 40.512.94 36.512.36 34.412.07 31.611.71 28.811.04 25.910.58 22.59.79 19.49.26 17.08.79 14.68.19 10.26.87 8.36.20 6.85.49

9. Pendulum Lab What is the relationship between the length and the period of a pendulum? Graph it. Independent variable on the bottom

10. Pendulum Lab Do you see the parabola?

11. Pendulum Lab Write a relationship: Length is related to the period squared. (  Period is related to the square root of the length)

12. Pendulum Lab Period is related to the square root of the length Write an equation T=k √ L

13. Calculate and graph Square root of lengthPeriod 6.5041.332 6.3641.294 6.0421.236 5.8651.207 5.6211.171 5.3671.104 5.0891.058 4.7430.979 4.4050.926 4.1230.879 3.8210.819 3.1940.687 2.8810.62 2.6080.549 Slope = 2.1 s/√cm

14. Pendulum Lab Period is related to the square root of the length Write a conclusion T=(2.1s/√cm) √ L

15. Measurement Lab Measure carefully. Estimate one digit Include a unit with each value. Show all of your work in the calculations (see pp 18 and 22 of your planner for equations) – Consider significant figures at each step – Include units at each step

21. At 30 km/h

25. At 75 km/h

26. Velocity --a vector, including a speed and a direction --units are meters/second (m/s) Common speeds: --walking pace ~2 m/s --highway speed ~30 m/s

27. Position/Time graph

29. Velocity/Time graph

31. Acceleration/Time graph

32. Kinematics

33. Constant motion 1)A sprinter runs at 10.0 m/s for 3.5 s. How far does he travel? 2)A car travels 1500 m in 45 s. What is its speed? 3)An airplane flies at 240 m/s from Denver to Kansas City, a distance of 1,000,000 m. How long does the flight take?

34. 10 m/s for 10 s

35. That’s 100 m total!

36. 5 m/s for 20 s

37. That’s also 100 m total!

38. Accelerated motion 1)A sprinter reaches 10.0 m/s in 2.95 s after the start of a race. What is his acceleration? 2)An airplane accelerates from rest to 180 m/s at an acceleration of 6.0 m/s 2. How long does this take-off last? 3)A car accelerates at 3.0 m/s 2 for 12 s. What is its change in speed?

39. 10 m/s for 10 s That’s 100 m total!

40. From rest to 20 m/s in 10 s

41. That’s 100 m total!

42. Accelerated motion 1)A sprinter reaches 10.0 m/s in 2.95 s after the start of a race. What is his acceleration? 2)An airplane accelerates from rest to 180 m/s at an acceleration of 6.0 m/s 2. How long does this take-off last? 3)A car accelerates from rest at 3.0 m/s 2 for 12 s. What is its change in speed? What distance is covered in each of these cases?

43. …is dropped from a height of… Two things are given here! 1)v i =0 m/s and 2)a=-9.8 m/s 2

44. …is thrown vertically… 1)a=-9.8 m/s 2 2)The object rises as long as v>0 m/s, then it turns around and falls. 3)Rising time = falling time

45. …is thrown horizontally… 1)v iy =0 m/s 2)a y =-9.8 m/s 2 3)v x is given, and constant 4)Time is the same for both x and y motion

46. …is thrown at an angle of… This is the big one—ballistic motion. 1)Separate motion into x and y components. 2)Calculate time in the air by the v y component 3)Motion in the x direction is constant. 4)Highest point is halfway through the flight 5)Rising and falling times are equal if the height is the same.