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A particle is moving along x-axis under ...

A particle is moving along x-axis under the action of force, F which varies with its position as `F prop(1)/(4sqrtx).` Find the variation of power due to this fore with x.

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To solve the problem step by step, we will follow the reasoning laid out in the video transcript. ### Step 1: Express the Force We start with the given relationship for the force \( F \): \[ F \propto \frac{1}{4\sqrt{x}} \implies F = \frac{k}{4\sqrt{x}} = kx^{-1/2} \] where \( k \) is a constant of proportionality. ...
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