The potential energy function for a particle executing linear SHM is given by where 'k' is the force constant of the oscillator. For k $$=$$ $$0.5Nm$$–$$1$$, the graph of $$v(x)$$ versus 'x' is shownn in figure. A particel of total energy 'E' turns back when it reaches x $$=$$ ±xm . If V and k indicate the potential energy and kinetic energy, respectively of the particle at x $$=$$ $$+xm$$, then which of the following is correct?

Question

The potential energy function for a particle executing linear SHM is given by where 'k' is the force constant of the oscillator. For k $$=$$ $$0.5Nm$$–$$1$$, the graph of $$v(x)$$ versus 'x' is shownn in figure. A particel of total energy 'E' turns back when it reaches x $$=$$ ±xm . If V and k indicate the potential energy and kinetic energy, respectively of the particle at x $$=$$ $$+xm$$, then which of the following is correct?

Infinity Learn · Accepted Answer

At extreme position , K $$=$$ $$0E$$ $$=$$ K $$+$$ U ; V $$=$$ E

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