Q.

A ball of mass 4 kg, moving with a velocity of  10 ms−1, collides with a spring of length 8m and force constant  100 Nm−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

Let compression in the spring be ‘e’.  K.E. of ball gets converted into spring P.E. at its maximum compression.12mv2=12ke2    ⇒124102=12100e2    ⇒e=2m Length, l=x+e ⇒x=l−e    ⇒x=8−2=6m
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