Answer: The correct answer is 8120 foot-pound.
Explanation:
The expression of work done in terms of mass and height is as follows;
W= mgh
Here, m is the mass of the object, g is the acceleration due to gravity and h is the height.
It is given in the problem that the work is done in lifting a 290-pound weight 28 feet in the air. Here, the work done is equal to the potential energy.
Calculate the work done.
W= mgh
Put mg=290-pound and h= 28 feet.
W= (290)(28)
W= 8120 foot-pound
Therefore, the work done is 8120 foot-pound.