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The potential energy function associated...

The potential energy function associated with the force `vecF=4xyhati+2x^2hatj` is

A

(a) `U=-2x^2y`

B

(b) `U=-2x^2y+const ant`

C

(c) `U=2x^2y+const ant`

D

(d) Not defined

Text Solution

Verified by Experts

The correct Answer is:
B
`dU=-vecF.ds=-vecF.(dxhati+dyhatj)`
Also by reverse method using `F_x=(delU)/(delX)` and `F_y=-(delU)/(delY)`
only option(b) satisfies the criteria.
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