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Question

A body of mass 0.1 kg moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is ….(in m)

Moderate

Solution

$\frac{1}{2} {mv}^{2} = \frac{1}{2} {kx}^{2} \Rightarrow x = v \sqrt{\frac{m}{k}} = 10 \sqrt{\frac{0 .1}{1000}} = 0 .1 m$

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