An object is falling freely from a height $x$. After it has fallen a height $\frac{x}{2}$, it will possess:
(a) only potential energy
(b) only kinetic energy
(c) half potential and half kinetic energy
(d) less potential and more kinetic energy

Let $m$ be the mass of the object. It is falling freely from the height $x$

At height $x$:

Potential energy $=mgx$

At height $\frac{x}{2}$:

Potential energy $=mg(\frac{x}{2})=\frac{mgx}{2}$

So, at $\frac{x}{2}$ height the object will possess half potential energy and half kinetic energy.

So, option (c) is correct.

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Updated on: 10-Oct-2022

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