A particle is placed at the origin and a force $F = kx$is acting on it (where $k$ is positive constant). If $U(0) = 0$, the graph of $U(x)$ versus x will be (where $U$ is the potential energy function)
A particle is placed at the origin and a force $F = kx$is acting on it (where $k$ is positive constant). If $U(0) = 0$, the graph of $U(x)$ versus x will be (where $U$ is the potential energy function)
$U = - \int_{}^{} {Fdx = - \int_{}^{} {kx\;dx = - k\frac{{{x^2}}}{2}} } $
This is the equation of parabola symmetric to $ U$ axis in negative direction
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