Question

A man cleaning his apartment pushes a vacuum cleaner with a force of magnitude 39.9 N. The force makes an angle of 24.7° with the horizontal floor. The vacuum cleaner is pushed 2.51 m to the right along the floor.

Calculate the work done by the 39.9 N force. Answer in units of J.

Answer 1

W = 90.98 J

Step-by-step explanation:

given,

magnitude of force = 39.9 N

angle made by the force = 24.7°

vacuum cleaner is pushed to = 2.51 m

Work done = ?

we know,

Work done is equal to force into displacement

W = F s cos θ

W = 39.9 x 2.51 cos 24.7°

W = 90.98 J

Work done by 39.9 N force is equal to W = 90.98 J