Understanding the Concepts

* Work: Work is done when a force causes an object to move a certain distance. It's calculated as the product of the force component acting in the direction of motion and the displacement.

* Force Component: We need the component of the force that acts *parallel* to the displacement. This is because only the force component that acts in the direction of motion does work.

Calculations

1. Find the force component parallel to the displacement:

* The force component parallel to the displacement is given by: F_parallel = F * cos(theta)

* Where:

* F = 40 N (the magnitude of the force)

* theta = 60 degrees (the angle between the force and the displacement)

* F_parallel = 40 N * cos(60°) = 20 N

2. Calculate the work:

* Work = F_parallel * displacement

* Work = 20 N * 1 m = 20 Joules (J)

Answer: The work done by the force is 20 Joules.