Write an expression for the work done when a force is acting on an object in the direction of its displacement.

1. Work Done Formula:
– The formula for work done Work is given by:
Work = Force x Distance x cos(θ)
– It calculates the amount of energy transferred when a force causes an object to move a certain distance.

2. Force in the Same Direction:
– When a force and the direction of an object’s movement are the same, the angle θ between them is 0°
– The cosine of 0° is 1(cos(0°) = 1 ), so Work = Force x Distance x 1

3. **Simplified Expression:**
– For a force acting in the direction of displacement, the expression simplifies to Work = Force x Distance.

4. Interpretation:
– This formula shows that when a force is applied in the same direction as the displacement, the work done is directly proportional to both the force applied and the distance the object moves.

Understanding this formula helps us calculate the work done when a force is applied to an object and it moves in the same direction as the force. In such cases, the work done can be calculated straightforwardly using the force applied and the distance covered by the object.