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A particle mo...

Question

A particle moving on x-axis has potential energy $U = 2 - 20 x + 5 x^{2}$ Joule along x-axis. The particle is released at $r = - 3$ . The maximum value of $x$ will be (x is in meter):

A

5 m

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B

3 m

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C

7 m

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D

8 m

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Solution

The correct option is D $7 m$
$F = - \frac{d U}{d x} = 20 - 10 x$
$F = 0$
at $x = 0$
So, from $x = - 3$ to $x = 2,$ amplitude is $5.$ Hence other extreme position will be
$x = 2 + 5 = 7$

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