The work done by a force is given by the formula:

\(W = Fd \cos \alpha\)

where \(W\) is the work done, \(F\) is the magnitude of the force, \(d\) is the distance moved, and \(\alpha\) is the angle between the force and the direction of movement.

Given:

• \(W = 75 \text{ J}\)
• \(d = 5 \text{ m}\)
• \(\alpha = 60^{\circ}\)

Substitute these values into the formula:

\(75 = F \times 5 \times \cos 60^{\circ}\)

\(\cos 60^{\circ} = 0.5\)

\(75 = F \times 5 \times 0.5\)

\(75 = 2.5F\)

\(F = \frac{75}{2.5}\)

\(F = 30 \text{ N}\)