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A particular force acting on object has equation $F=-cx^3$ where x is displacement of object from some orgin and $c=1N/m^3$ What is magnitude of the work done by this force, as the object moves from $x=-2m,\; to\;x=+2m$

\[(a)\;16\;J \quad (b)\;8\;J \quad (c)\; 4\;J \quad (d)\;0\;J\]

1 Answer

$\int dW=\int F dx $
$\qquad=-c \int \limits_{-2}^2 x^3 dx$
$\qquad=\large\frac{-1}{4}$$ \bigg[2^4-(-2)^4\bigg]$
Hence d is the correct answer.


answered Aug 8, 2013 by meena.p
edited Feb 17, 2014 by meena.p

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