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To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass 1000 kg moving with a speed 18.0 kmh–1 on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 × 10–3 Nm–1. What is the maximum compression of the spring.

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At maximum compression xm, the K.E. of the car is converted entirely into the P.E. of the spring. 

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