A 3000-lb wrecking ball hangs from a 50-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 50 ft in the air by drawing in the cable.

The work done is 227,130 J (or 227 kJ).

Step-by-step explanation:

When the force is in the same direction than the displacement, we can express the work of this force as:

The force is equal to the total weight of the wrecking ball and the cable.

The wrecking ball has a mass of 3000 lb.

For the cable, we have to calculate the mass as:

The total mass is 3,350 lb.

The magnitude of the force is equal to the weight:

The work done by this force is:

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for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a