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Question

Two blocks m1 and m2 are placed on a smooth horizontal surface; and are joined together with a spring of stiffness k as shown in the figure. Suddenly, the block m2 receives a horizontal velocity v0

A
v0m1m2m1+m2
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B
v02m1m2(m1+m2)k
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C
v0m1m22(m1+m2)k
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D
v0m1m2(m1+m2)k
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Solution

The correct option is D v0m1m2(m1+m2)k
Let x= maximum elongation of sprilng
Change of kinetic energy=Potential stored in spring
(12)m2v20(12)(m1+m2)[m2v0(m1+m2)]2=(12)Kx2m2v20[1{m2(m1+m2)}]=Kx2x=v0m1m2(m1+m2)k
Hence,
Option A is correct answer

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