How much work is done lifting a 10 pound calculus book from the ground to the top of a 30 foot building with a cable which weighs 2 pounds per foot?
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To find the work done lifting the book, we need to calculate the force required to lift it and multiply by the distance it is lifted.
First, we need to find the total weight of the book and the cable. The book weighs 10 pounds and the cable weighs 2 pounds per foot. The height of the building is 30 feet, so the weight of the cable is 2 pounds x 30 feet = 60 pounds.
The total weight being lifted is the weight of the book + weight of the cable = 10 pounds + 60 pounds = 70 pounds.
The force required to lift the weight is equal to its weight, which is 70 pounds.
The distance the book is lifted is 30 feet.
The work done lifting the book is force × distance = 70 pounds × 30 feet = 2100 foot-pounds.
Therefore, the work done lifting the book is 2100 foot-pounds.
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