Hi Priyanka, that's a nice question. I hope the following answer will clear your doubt

In physics, work done refers to the transfer of energy resulting from the application of a force over a certain distance. It quantifies the amount of energy transferred or transformed by a force acting on an object.

Mathematically, work done (W) is defined as the product of the magnitude of the force (F) applied to an object and the displacement (d) of the object in the direction of the force. The formula for calculating work done is:

W = F * d * cosθ

Where:

• W is the work done (measured in joules, J)
• F is the magnitude of the force applied (measured in newtons, N)
• d is the displacement of the object in the direction of the force (measured in meters, m)
• theta is the angle between the force vector and the displacement vector (measured in degrees or radians)

Key points about work done:

1. Work is a scalar quantity: Work done is a scalar quantity, which means it has magnitude but no specific direction associated with it.

2. Positive and negative work: If the force and displacement act in the same direction (theta = 0), the work done is positive, indicating energy transfer to the object. If the force and displacement act in opposite directions (theta = 180 degrees), the work done is negative, indicating energy transfer from the object.

3. Work and energy: Work done is directly related to the transfer of energy. When work is done on an object, energy is transferred to it. Conversely, when work is done by an object, energy is transferred from it.

4. Units of work: The SI unit of work is the joule (J). One joule is equal to one newton-meter (1 J = 1 N·m). Other units such as kilojoules (kJ) or ergs (1 erg = 10^−7 J) are also used in specific contexts.

5. Work and displacement: Work done depends not only on the magnitude of the force but also on the distance over which the force is applied (displacement). If there is no displacement (d = 0), no work is done.

Work done is a fundamental concept in physics and finds applications in various areas, including mechanics, thermodynamics, and electromagnetism. It helps us understand the energy transfers and transformations that occur in physical systems when forces are applied.