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Q.

A car is accelerated on a levelled road and it acquires a velocity 4 times its initial velocity. During this process, the potential energy of the car


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a

Becomes twice that of initial potential energy

b

Becomes 4 times that of initial potential energy

c

Becomes 16 times that of initial potential energy

d

Does not change 

answer is D.

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Detailed Solution

When a car accelerates on a levelled road and acquires a velocity 4 times its initial velocity, its potential energy does not change.
Potential energy is the energy possessed by the body due to its position or change in shape. The formula represents it,
PE=mgh, where m is the mass of the body, g is the acceleration due to gravity and h is the height travelled. The value of potential energy does not depend on the velocity of the body. Thus, the potential energy of the car remains the same.
 
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A car is accelerated on a levelled road and it acquires a velocity 4 times its initial velocity. During this process, the potential energy of the car