The work done by a force , applied to a point particle, when that particle moves, is:

The work done by a force on a point particle as it moves can be described by the following formula:

Work Done (W)

The work done $W$ by a force $\vec{F}$ acting on a particle, when the particle moves a distance $d$ in the direction of the force, is given by:

$W = \vec{F} \cdot \vec{d} = F \cdot d \cdot \cos(\theta)$

Where:

• $W$ = Work done (in joules, J)
• $\vec{F}$ = Force vector (in newtons, N)
• $\vec{d}$ = Displacement vector (in meters, m)
• $F$ = Magnitude of the force
• $d$ = Magnitude of the displacement
• $\theta$ = Angle between the force vector and the displacement vector

Summary

In summary, the work done by a force on a moving particle depends on the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement.