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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement ‘x’ is proportional to

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detailed solution

Correct option is A

-a=kx;   -dvdt=kx;   dvdxdxdt=-kx ; dv v=-kx dx  intregating on both sides ∫uvv dv=-k∫0xx dxv2-u22=-kx2212mv2-u2 =-kmx22 =change in kinetic energy


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A body of mass 3 kg is under a force which causes a displacement in it, given by s =t2 / 3 (in m). Find the work done by the force in 2 second


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