Question

A 5000-lb wrecking ball hangs from a 30-ft cable of density 7 lb/ft attached to a crane. Calculate the work done if the crane lifts the ball from ground level to 30 ft in the air by drawing in the cable.

Answer 1

The work done in lifting the ball is 667,500 N-ft.

Step-by-step explanation:

The work done in lifting the ball can be calculated using the formula: work = force x distance. In this case, the force exerted by the crane is equal to the weight of the ball, which is 5000 lb. The distance the ball is lifted is 30 ft. To convert lb to N, we multiply by the conversion factor 4.45 N/lb. Therefore, the work done is: 5000 lb x 4.45 N/lb x 30 ft = 667,500 N-ft.