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

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B

becomes twice to that of initial

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C

becomes $4$ times that of initial

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D

becomes $16$ times that of initial

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Solution

## The correct option is A does not changeStep 1: GivenInitial velocity$=u$Final velocity$=4u$Step 2: Concept usedPotential 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 energyWe can observe that the potential energy does not depend on the velocity.Potential energy is the energy stored by a body due to the virtue of its height. Hence, option A is the correct option.

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