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Question

A particle is moving along x-axis under the action of a force, F which varies with its position (x) as F14x. Find the variation of power due to this force with respect to x.

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Solution

Fα1x1/4
F=kx1/4
ma=kx1/4
m(vdvdx)=kx1/4
vdv=kmx1/4dx
v22=kmx3/4
v=2kmx3/4
Power =F.v
Power α1x1/4×x3/4αx

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