Q.

A spring of force constant 50N/m is stretched by small length 1cm. The work done in stretching if further by a small length 1cm is x×104 J.   Find the value of  x 

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answer is 75.

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Detailed Solution

As we know that
Spring force  F=kx

w1=kxdx=12kx2 w=12k(x+y)212kx2 w=12×50×(2×102)212×50×(1×102)2 w=12×50×4×10412×50×104 w=25×104[41]=75×104

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