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    If a body of mass ‘m’ is taken to a height ‘h’ from the surface of earth, the work done will be:
    Question

    If a body of mass ‘m’ is taken to a height ‘h’ from the surface of earth, the work done will be:

    A.

    mh

    B.

    2 mgh

    C.

    mgh

    D.

    1/2 mgh

    Correct option is C

    The correct answer is: (c) mgh

    Explanation:
    The work done in lifting a body of mass m to a height h from the surface of the Earth is given by the formula:

    Work Done=m×g×h\text{Work Done} = m \times g \times hWork Done=m×g×h

    Where:

    • m is the mass of the body

    • g is the acceleration due to gravity (approximately 29.8m/s229.8 \, \text{m/s}^229.8m/s2 on the Earth's surface)

    • h is the height to which the body is lifted

    Thus, the correct formula for work done is mgh.

    Information Booster:

    • Work is defined as the force applied to an object multiplied by the distance over which the force is applied, and in this case, the force is due to gravity.

    • Gravitational Potential Energy (GPE): The work done in lifting a body to a height h is stored as gravitational potential energy.

    • The work done is positive when the force and displacement are in the same direction (lifting the object upwards against gravity).

    • The formula mghmgh assumes that g is constant for small heights (close to Earth's surface), and the effect of height on g is negligible.

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