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A particle is acted by x force F = Kx wh...

A particle is acted by `x` force `F = Kx` where `K` is `a( + Ve)` constant its potential mwrgy at `x = 0` is zero . Which curve correctly represent the variation of putential energy of the block with repect to `x`

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
We know that `Delta U = -W` for conservation forces
`:. Delta U = - int_(0)^x Fdx = - int_0^x K xdx implies U_(x) - U_(0) = -(kx^2)/(2)`
Given `U_(0) = 0`. Therefore, `U_(x) = -(kx^2)/(2)` .
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