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When a body of mass m is raised to a height H against gravity, the potential energy of the body is:
Question

When a body of mass m is raised to a height H against gravity, the potential energy of the body is:

A.

increased by an amount mgH

B.

decreased by an amount mgH/2

C.

increased by an amount mgH/2

D.

decreased by an amount mgH

Correct option is A

The Correct Answer is: (a) increased by an amount mgH
Explanation:
When a body is raised to a height H above the Earth’s surface, work is done against the force of gravity. This work gets stored in the body as gravitational potential energy (U).

The increase in potential energy is given by the formula:

U=m⋅g⋅HU = m \cdot g \cdot HU=mgH

Where:

  • m = mass of the object (kg)

  • g = acceleration due to gravity (9.8 m/s²)

  • H = height raised (m)

So, the potential energy increases by mgH when the body is lifted to a height H.

Information Booster:
  • At ground level, potential energy is considered zero

  • The unit of potential energy is joule (J).

  • It is a form of mechanical energy and can be converted to kinetic energy when the object falls.

  • This concept is applied in hydropower, roller coasters, and pendulums.

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