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Q.

A block of mass m moving at a speed v compresses a spring through a distance x before its speed reduces by 25%. Find the spring constant of the spring?

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a

mv22x2

b

3mv22x 

c

7mv216x2

d

2mv23x2

answer is C.

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Detailed Solution

Velocity reduces by 25% means velocity becomes 75% i.e, 3v4

 From conservation of energy

 12kx2=12mv2-9v216  k=7mv216x2

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