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A 12,000 N car starts from rest and rolls down a hill from a height of...

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Physics

A 12,000 N car starts from rest and rolls down a hill from aheight of 10.0 m (see figure). It then moves across a level surfaceand collides with a light spring-loaded guardrail.

(a) Neglecting any losses due to friction, and ignoring therotational kinetic energy of the wheels, find the maximum distancethe spring is compressed. Assume a spring constant of1.2  106 N/m.
? m

(b) Calculate the maximum acceleration of the car after contactwith the spring, assuming no frictional losses.
? m/s2

(c) If the spring is compressed by only 0.30 m, find the change inthe mechanical energy due to friction.
? J

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