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

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Does not change

Becomes twice that of initial

Becomes 4 times that of initial

Becomes 16 times that of initial

answer is A.

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Detailed Solution

In this process, the potential energy of the car does not change.
Potential energy is the energy that a body possesses as a result of its height above the ground. In the example given, the car only increases its velocity by 4 times while maintaining a constant height above the ground. The potential energy stays the same as a result. Potential energy is the power that an object can store as a result of its position in relation to other objects, internal stresses, electric charge, or other circumstances.
The formula for potential energy depends on the force acting on the object. For the gravitational force, the formula is

W = m \times g \times h

Where,

● $m$ is the mass in kilograms

● $g$ is the acceleration due to gravity

● $h$ is the height in meters

The potential energy we're referring to in this instance is gravitational potential energy, and it is height-dependent because the car is moving along a leveled road so its height is unaffected. The car's potential energy remains unchanged as a result.

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