Question

What happens to the potential energy of an object, if its mass is doubled and the height to which it is lifted is halved of its initial state?

• A. Becomes half.
• B. Becomes quadruple.
• C. Remains same.
• D. Becomes double.

Answer 1

The correct option is C Remains same.

Let the mass and height of the object is $m$ and $h$ respectively.
Therefore its potential energy is $mgh$.
If its mass is doubled and height is halved from the initial state then new potential energy will be $(2m\times g\times \frac{h}{2})=mgh$
Hence, the potential energy remains same.