A block is launched up a smooth track with an initial speed of at the bottom

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

Problem

A 0.80 kg0.80\,\text{kg} block is launched up a smooth track with an initial speed of 4.0 m/s4.0\,\text{m/s} at the bottom. The top of the track is 0.50 m0.50\,\text{m} higher than the bottom and is connected to a horizontal spring of force constant 180 N/m180\,\text{N/m} that is initially uncompressed. After reaching the top, the block compresses the spring and momentarily comes to rest. What is the maximum compression of the spring? (a) 0.27 m0.27\,\text{m} (b) 0.17 m0.17\,\text{m} (c) 0.11 m0.11\,\text{m} (d) 0.22 m0.22\,\text{m}

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