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.