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Q.

The block of a spring-block system rests on a smooth horizontal surface as shown in figure. A constant horizontal force F is applied on the block parallel to the length of the spring. If mass of the block m = 10 kg, K = 1000 N/m and F = 200 N, The maximum elongation of the spring is

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answer is 4.

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Detailed Solution

If xm be the maximum elongation of the spring, then work done by external force  = change in K.E. + change in P.E.⇒F.xm=0 + 12Kxm2⇒xm=2FK=2 x 2001000m=40 cm
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The block of a spring-block system rests on a smooth horizontal surface as shown in figure. A constant horizontal force F is applied on the block parallel to the length of the spring. If mass of the block m = 10 kg, K = 1000 N/m and F = 200 N, The maximum elongation of the spring is