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  4. A body is acted upon by a force which is proportional to the distance covered. If distance covered be denoted by x, then work done by the force will be proportional to:

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Q. A body is acted upon by a force which is proportional to the distance covered. If distance covered be denoted by $x$, then work done by the force will be proportional to:

Work, Energy and Power

Solution:

Given $F \propto x \Rightarrow F=k x,$
$W=\int k x d x=\frac{k x^{2}}{2}$