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Energy Units and Forms - Class IX

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The force acting on a 4gm mass in the energy region ${ U=8x }^{ 2 }$ at x= -2 cm is :

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32 dyne

💡 Explanation:

Given,

$m=4gm$

$U=8x^2$

The force acting on mass $m$ in the potential energy $U$ at $x=-2cm$ will be

$F=-\dfrac{dU}{dx}$

$F=-\dfrac{d(8x^2)}{dx}$

$F=-16x$

$|F| _{x=-2cm}=-16\times(-2)=32dyne$

The correct option is D.