A toy roller coaster cart is launched by first compressing a spring, then being released to travel up the track. Assume that: •The spring compresses by a maximum of 0.14 m •The mass of the cart is 0.24 kg •The work done by friction is 0.29 J •The height of the first hill is 0.75 m What spring constant is necessary to get the cart to the top of the first hill, traveling at 0.9 m/s?

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
Section6.4: Work Done By A Varying Force
Problem 6.4QQ
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A toy roller coaster cart is launched by first compressing a spring, then being released to
travel up the track. Assume that:
•The spring compresses by a maximum of 0.14 m
•The mass of the cart is 0.24 kg
•The work done by friction is 0.29 J
•The height of the first hill is 0.75 m
What spring constant is necessary to get the cart to the top of the first hill, traveling at 0.9 m/s?
You must draw a sketch of the system with relevant zero reference points and an LOL diagram
to support your answer.

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