A woman exerts a horizontal force of 10 pounds on a box as she pushes it up a ramp that is 8 feet long and inclined at an angle of 30 degrees above thehorizontal.

Find the work done on the box.

Work: ft-lb

The work done on the box is 69.28 ft-lb

Step-by-step explanation:

Work done = force * height

Force (F) = 10 pounds

The height (h) is calculated using trigonometric ratio

Length of ramp (hypotenuse side) = 8 feet

Angle of inclination above the horizontal = 30°

h/8 = cos 30°

h = 8cos 30° = 8*0.8660 = 6.928 feet

Work done = F*h = 10 pounds * 6.928 feet = 69.28 ft-lb