Question

A force F is exerted by a broom handle on the head of the broom, which has a mass m. The handle is at an angle θ to the horizontal, as shown. The work done by the force on the head of the broom as it moves a distance d across a horizontal floor is 

(A) Fd sin θ 

(B) Fd cosθ 

(C) Fm cosθ 

(D) Fm tanθ 

(E) Fmd sinθ

Answer 1

Correct option (B) Fd cosθ

To find work we use the parallel component of the force to the distance, this gives Fcos θ d.