Question

A rope pulls on a metal box at an angle of 60.0° with a force of 255 N. The box moves horizontally for 15.0 m. How much work was done on the box?

Answer 1

The work done by the rope on the box is equal to:

`W=Fd \cos \theta`
where F is the force applied by the rope, d the distance covered by the box and
`\theta` is the angle between the direction of the force and of the displacement.

Using the data of the problem:
`F=255 N`,
`d=15.0 m` and
`\theta = 60^(\circ)`, we find the work:

`W=(255 N)(15.0 m)(\cos 60^(\circ))=1912.5 J`