A woman exerts a horizontal force of 10 pounds on a box as she pushes it up a ramp that is 4 feet long and inclined at an angle of 30 degrees above the horizontal.

Find the work done on the box.

W = 51.9 ft-lbs

Explanation:

given,

Force, F = 10 Pounds

angle with horizontal, θ = 30°

distance, R = 4 ft

we know,

Work done is equal to force into displacement.

displacement, s = 6 cos θ

= 6 cos 30° = 5.19 ft

work done = F. s

W = F. s

W = 5.19 x 10

W = 51.9 ft-lbs

the work done on the box is equal to 51.9 ft-lbs.