A body is acted upon by force which is inversely proportional to the distance covered. The work done will be proportional to:

s

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s^{2}

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\sqrt{s}

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None of the above

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Solution

The correct option is D None of the above
Given $F \propto \frac{1}{s} ⟹ F = \frac{k}{s}$
$W = \int_{s_{1}}^{s} \to F . d \to s = \int_{s_{1}}^{s} \frac{k}{s} . d s = k ln (\frac{s}{s_{1}})$

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A body is acted upon by force which is inversely proportional to the distance covered. The work done will be proportional to:

The correct option is D None of the aboveGiven F∝1s⟹F=ksW=∫ss1→F.d→s=∫ss1ks.ds=kln(ss1)

The correct option is D None of the above
Given $F \propto \frac{1}{s} ⟹ F = \frac{k}{s}$
$W = \int_{s_{1}}^{s} \to F . d \to s = \int_{s_{1}}^{s} \frac{k}{s} . d s = k ln (\frac{s}{s_{1}})$