A toy roller coaster gets a 2.0 kg car moving by compressing it against a 40 N/m

Question

A toy roller coaster gets a 2.0 kg car moving by compressing it against a 40 N/m spring constant

spring and releasing it. After a short level stretch, the car ascends a 1.0 m-high hill. How far should the

spring be compressed, to just get the car to reach the top of the hill? Assume that the car moves without

friction on the track. (For full credit your response must include an appropriate diagram, an explicit

indication of the system you are considering, a solution beginning from fundamental equations, proper

units, and significant figures.)

Explanation / Answer

0.99 m

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