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A block of mass m is hanging freely from a spring of stiffness k. A particle of mass m falls on the block with a velocity v and gets stuck to it. Prove that the amplitude and frequency of oscillations during subsequent motions are (k/2m)^1/2 and v(2m/k)^1/2.

A block of mass m is hanging freely from a spring of stiffness k. A particle of mass m falls on the block with a velocity v and gets stuck to it. Prove that  the amplitude and frequency of oscillations during subsequent motions are (k/2m)^1/2  and v(2m/k)^1/2.
 

Grade:11

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