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Q.

A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k=50 ​ N/m. The maximum compression of the spring would be (in m)

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answer is 0.15.

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Detailed Solution

The kinetic energy of mass is converted into potential energy of  a spring 12mv2=12kx2⇒x=mv2k​=0.5×(1.5)250=0.15 m
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