You wish to lift a weight by a vertical distance(H) of 15 ft. You can
generate a maximum pushing force (E) of 200 lb with an inclined
plane that is 30 feet long (L).

Work input in = 3,000ft.lb

Explanation:

Question: You wish to lift a weight by a vertical distance(H) of 15 ft. You can

generate a maximum pushing force (E) of 200 lb with an inclined plane that is 30 feet long (L). What is the amount of work you must input in order to move the weight?

Solution:

Effort Force = 200lb

Distance = height = 15ft

Length of inclined plane = 30ft

Recall, Energy you put in = Energy you get out

Hence, work in = work out

Neglecting friction losses

Load force × distance (upward) = effort force × distance (downward)

Work input in = Effort force × distance

Work input in = 200×15

Work input in = 3,000ft.lb