A force of 32 N acts on a particle in vertically upward direction and the particle is displaced through 2m in vertically downward direction. The work done by the force during displacement is

To calculate the work done by a force, we use the formula:

Work Done (W) = F × d × cos θ,

where:

• F is the force applied,
• d is the displacement,
• θ is the angle between the force and the displacement direction.

Given:

• Force (F) = 32 N (vertically upward),
• Displacement (d) = 2 m (vertically downward),
• Angle (θ) = 180° (force is upward, displacement is downward, so they are in opposite directions).

The cosine of 180° is -1, so the work done is:

W = F × d × cos θ

W = 32 × 2 × (-1)

W = -64 J