A woman exerts a total force of 7 pounds in a horizontal direction on a box as she pushes it up a ramp that is 10 feet long and inclined at an angle of 30 degrees above the horizontal. Find the work done on the box.

W = 60.62 ft-lbs

Explanation:

given,

Horizontal force = 7 lb

distance of push, d = 10 ft

angle of ramp, θ = 30°

Work done on the box = ?

We know,

Work done is equal to force into displacement.

W = F. d cos θ

W = 7 x 10 x cos 30°

W = 70 x 0.8660

W = 60.62 ft-lbs

Hence, work done on the box is equal to W = 60.62 ft-lbs