Initial Measurements. Make sure to record your values in meters and kilograms, not cm and grams.

 

inner diameterloop = _________ m

inner radiusloop = ___________ m

masscar = _________ kg

1. Calculate the minimum critical velocity needed for the car to just travel around the loop without losing contact with the track.               vB = _____________ m/s

2. Using the Law of Conservation of Energy calculate the ideal height (of point A) from which the vehicle should be released so that it will successfully complete the loop-the-loop with the velocity found in Question #1. (Note the height at point B is the diameter of the hoop.)             hA = _____________ meters

3. Raise the incline so the car when released from the end of the ramp is exactly at the height calculated in Question #2. Then release the car to test if it can actually make it around the loop-the-loop while maintaining continuous contact with the track. Be careful to make sure that the tip of the supporting meter stick remains in constant contact with the table's surface. Do NOT let it move.   Did the car complete the loop-the-loop successfully?
	YesNo

4. Which of the following describes the motion of the car while traveling around the loop-the-loop?
	a. Did not make it to the top of the loop-the-loop and rolled back b. Fell off track near the top and stopped c. Lost contact with track but landed back on track and continued d. Maintained contact all the way around the loop-the-loop

4b. Explain why energy was NOT conserved by the car.

5. Now increase the height of the track (at point A) by 1 cm to 2 cm (0.01 – 0.02 meters) experimenting each time to see if the car makes it completely through the loop-the-loop while maintaining continuous contract with the track. Make sure that you always release the car from the same position at the end of the track (the 33-inch mark) – heighten point A by moving the ring stand towards the pivot (increasing the track’s slope) without changing the length of the track down which the car travels. Make sure that the lowe end og the meter stick stays securely in contact with the table. Do NOT let it move.

 

Indicate the height of point A in meters in the far left column, then check one of the corresponding descriptions for the car going around the loop-the-loop. Once the car makes it around the loop-the-loop remaining in contact with the track, circle this value and then continue to the next step in the lab.

Record your results in the table below.

 

5b. Record the final height from your chart in meters.

5c. Based on the final height in Question 5b, what was the sine of the meter stick's angle of inclination?

5d. What was the normal force supporting the car?             normalA = __________ N

Analysis:   6. Using the last height in Question 5b calculate the potential energy of the car at point A.             PEA = ______________ J

7. Using the velocity determined in Question #1 at point B and the height at point B (the loop’s inner diameter), calculate the total mechanical energy of the car at point B.             (PEB + KEB) = ______________ J

7b. What was the normal force exerted on the car as it passed through position B?               normalB = __________ N

Conclusions:   8. Are the total mechanical energies at point A and point B equal to each other?
	YesNo

9. Was energy lost, gained or conserved by the car?

Height of table, H = ______________ m

Range, R = ______________ m

10. Calculate the time that the car was in the air before landing on the floor.               Time, t = _____________ seconds

11. Using the car’s range, calculate the horizontal velocity of the car when it left the table (vH, also the velocity at point C).               Velocity at point C, vH = _____________ m/s

12. If the speed of the car remained constant throughout the horizontal section of the track (as it approached point C), then what was the normal force exerted on the car as it passed through the bottom of the loop-the-loop?             normalbottom = ______________ N

Analysis:   13. Calculate the kinetic energy of the car at point C.             KEC = ________________ J

14. Are the total mechanical energies at points B and C equal to each other?
	YesNo

Conclusions:   15. Why did we not consider point C to have any potential energy when comparing its total energy to the total energies at point A and point B?

16. Determine the energy lost between point A (Question #6) and point B (Question #7).             ΔEnergy = _______________ J

17. Determine the energy lost between point B (Question #7) and point C (Question #13) .             ΔEnergy = _______________ J

18. Between which points was more energy lost?
	A to BB to C

18b. Write a hypothesis to would explain why your choice in Question #18 happened.

19. At what position along the track did the car experience the greatest normal force?
	at position A, when it was first released at position B, at the top of the loop at the base of the loop just as it exited the circle at position C, just as it left the table