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How much work is required to raise a 10-foot long chain, weighing 3 pounds per foot, to a platform 35 feet above the ground? Choose the correct answer:

A) 105 ft-lb
B) 115 ft-lb
C) 125 ft-lb
D) 135 ft-lb

Answer :

Final answer:

The work required to lift a 10-foot long chain weighing 3 pounds per foot to a platform 35 feet above the ground is 105 ft-lb. The correct answer is option A).

Explanation:

Work is defined as the product of the force applied to an object and the distance through which the object is moved, and it is measured in units of foot-pounds (ft-lb) in the Imperial system. Since the chain weighs 3 pounds per foot, the total weight of the chain is 30 pounds (3 pounds/foot x 10 feet).

Since the force required to lift the chain equals its weight, we multiply the total weight of the chain by the height to which it is lifted. In this case, the chain is lifted 35 feet above the ground. Therefore, the work done to lift the chain is calculated as follows: Work = Force x Distance = 30 pounds x 35 feet = 105 ft-lb.

The correct calculation based on the given information results in 105 ft-lb of work required, highlighting the importance of attentive problem-solving in physics. Hence, the correct answer is A.

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