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Q.

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

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a

$x^{- 1}$

b

$x^{2}$

c

$x^{3}$

d

x

answer is D.

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Detailed Solution

work done for variable force = $\int F . d x$ here F=k $x^{2}$

w= $\int k x^{2} d x = \frac{k x^{3}}{3}$

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