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`

Options

A. (a)
B. (b)
C. (c)
D. (d)

Answer

B

Explanation

We know that `DeltaU=-W` for conservative forces
`:. DeltaU=-underset0oversetx intFdx=-underset0oversetx int Kxdx`
`implies U_((x))-U_((0))=-(kx^2)/(2)`
Given `U_((0))=0`. Therefore, `U_((x))=-(kx^2)/(2)`