Work done by a constant force

Here is how to calculate the work done by a constant force:

The formula for work is:

Work = Force x Displacement

W = F x d

Where:

W = Work done by the force (in Joules, J)
F = Force (in Newtons, N)
d = Displacement (in meters, m)

If the force is constant, then we can take it out of the integral when calculating work:

W = ∫ F dx
W = F ∫ dx
W = F x d

Where:

∫ dx is the integral of displacement, which gives the total displacement d

So for a constant force F acting over a displacement d:

Work = Force x Displacement

Examples:

1) If a constant force of 5 N acts over a displacement of 3 m, the work is:

W = F x d
W = 5 N x 3 m
W = 15 J

2) If a spring exerts a constant force of 10 N over a compression of 0.2 m, the work done is:

W = F x d
W = 10 N x 0.2 m
W = 2 J

So in summary, for a constant force, the work done is simply the force multiplied by the total displacement over which the force acts.