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Work done is directly proportional to the force applied and the displacement of the object.

When a force is applied to an object and it moves in the direction of the force, work is said to be done on the object. The amount of work done is directly proportional to the force applied and the displacement of the object. This relationship is expressed mathematically as W = F x d, where W is the work done, F is the force applied, and d is the displacement of the object.

The unit of work is joules (J), which is defined as the amount of work done when a force of one newton (N) is applied over a distance of one metre (m). Therefore, if a force of 10 N is applied to an object and it moves a distance of 5 m in the direction of the force, the work done on the object is 50 J.

It is important to note that work is only done when the force is applied in the same direction as the displacement of the object. If the force is applied at an angle to the displacement, only the component of the force in the direction of the displacement will do work. This is known as the dot product of force and displacement.

In conclusion, work done is directly proportional to the force applied and the displacement of the object. This relationship is expressed mathematically as W = F x d, and the unit of work is joules (J).

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