Question

A car is accelerated on a levelled road and attains a velocity $4$ times of its initial velocity. In this process the potential energy of the car

• A. does not change
• B. becomes twice to that of initial
• C. becomes $4$ times that of initial
• D. becomes $16$ times that of initial

Answer 1

The correct option is A

does not change

Step 1: Given

Initial velocity$=u$

Final velocity$=4u$

Step 2: Concept used

Potential energy is given by, $PE=mgh$

Where, $m,g,h$ are the mass of the body, gravitational acceleration and the height at which the body is kept respectively.

Step 3: Determine the change in potential energy

1. We can observe that the potential energy does not depend on the velocity.
2. Potential energy is the energy stored by a body due to the virtue of its height.

Hence, option A is the correct option.