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Q.

A ball of mass 4 kg moving with a velocity of 10m/s collides with a spring of length 8 m and force constant  100Nm−1 . The length of the compressed spring is x m . The value of x, to the nearest integer is________

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answer is 6.

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Detailed Solution

Here kinetic energy of ball is equal to P. E. stored in 
Spring i.e., 12mv2=12k(Δx)2
⇒ 12×4×(10)2=12×100×(Δx)2⇒Δx=2m
Therefore length of the compressed spring
 x=8−2=6m

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