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Question:

Calculating work done (Calculus help)?

The question is:quot;A 1000-lb wrecking ball hangs from a 30-ft cable of density 10 lb/ft attached to a craneCalculate the work done if the crane lifts the ball from ground level to 30 ft in the air by drawing in the cable.quot;The answer given is 34,500 ft-lb, I would just like to see the process.Thank you in advance for the help!

Answer:

work for the ball is 1000 x 30, work for the chain is int over x in [0,30] of { 10 (30 -x ) dx} for chain: cut it into micro pieces of length δx and weight 10 δx.these pieces are moved 30 - x feet , where x distance from ground
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