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

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

Work, Energy and Power

Solution:

Given $F \propto \frac{1}{x} \Rightarrow F$
$=\frac{k}{x}, W=\int \frac{k}{x} d x=\ln x+c$