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Question

A mass of 0.5 kg moving with a speed of 1.5ms−1 on a horizontal smooth surface, collides with a nearly weightless spring of force constant k=50Nm−1. The maximum compression of the spring would be
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A
0.15 m
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B
1.6 m
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C
0.23 m
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D
0.4 m
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Solution

The correct option is D 0.15 m
By the law of conservation of energy. Kinetic energy of mass = energy stored in spring
12mv2=12kx2
x2=mv2k
The maximum compression of the spring
x=mv2k
x=0.5×1.5×1.550=0.15m

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