Ah = ? Ax = 20m

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 12OQ
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250 kg starts at the top of a hill as shown below. The initial speed of the
6) A roller coaster cart of mass
roller coaster is 10 m/s.
Ah = ?
Ax = 20m
a) If it reaches the top of the next hill with a speed of 15 m/s, what is the vertical distance between the
tops of the two hills? Assume that friction is negligible.
b) If the distance from the top of the first hill to the ground is 3 times the vertical distance you found in
part a, what is the speed of the cart once it reaches the ground?
c) At the end of the ride, the cart is brought to rest from the speed that you found in b). How much
work was done to bring the cart to rest? How far did the cart travel before coming to rest if the coefficient
of kinetic friction is µk = 0.6.
d) What average force was delivered to the cart during this time if the cart was stopped in 20 meters?
Transcribed Image Text:250 kg starts at the top of a hill as shown below. The initial speed of the 6) A roller coaster cart of mass roller coaster is 10 m/s. Ah = ? Ax = 20m a) If it reaches the top of the next hill with a speed of 15 m/s, what is the vertical distance between the tops of the two hills? Assume that friction is negligible. b) If the distance from the top of the first hill to the ground is 3 times the vertical distance you found in part a, what is the speed of the cart once it reaches the ground? c) At the end of the ride, the cart is brought to rest from the speed that you found in b). How much work was done to bring the cart to rest? How far did the cart travel before coming to rest if the coefficient of kinetic friction is µk = 0.6. d) What average force was delivered to the cart during this time if the cart was stopped in 20 meters?
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