A block is dropped from rest from a height of onto the top of a vertical spring fixed…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 1 kg1\,\text{kg} block is dropped from rest from a height of 1.25 m1.25\,\text{m} onto the top of a vertical spring fixed to the floor. The spring has a spring constant of 500 N m−1500\,\text{N\,m}^{-1}. Assuming all the gravitational potential energy converts into elastic potential energy at maximum compression, the maximum compression of the spring is closest to (a) 0.32 m0.32\,\text{m} (b) 0.16 m0.16\,\text{m} (c) 0.22 m0.22\,\text{m} (d) 0.20 m0.20\,\text{m}

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