Question

A woman exerts a horizontal force of 2 pounds on a box as she pushes it up a ramp that is 6 feet long and inclined at an angle of 30 degrees above the horizontal.

how do you find the work on the box?

The work that has to be done to accomplish this task depends upon the friction between the box and the ramp. If there is no friction, multiply the weight (6 lb) by the elevation change (6 sin 30) to get the work done, in foot-pounds. That will in all cases equal the change in potential energy of the box. If friction is present, the extra work required becomes heat.

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