In an extreme competition, an athlete person has to pull a car as far as she can

Question

In an extreme competition, an athlete person has to pull a car as far as she can. One end of a rope is attached to the car, while the other is tied around the athlete’s waist. If a force gauge placed halfway down the rope reads out a constant 362.0 lbs while she pulls the car a distance of 70.0 inches, how much work does she do? The rope is perfectly horizontal during the pull. Express your answer in both foot-pounds (ft·lb) and Newton-meters (N·m).

a. 2110 ft·lb and 2860 N·m

b. 1050 ft·lb and 1430 N·m

c. 525 ft·lb and 715 N·m

d. 400 ft·lb and 542 N·m

Explanation / Answer

Given,

Force, F = 362 lbs or 1610.256 N

Distance, d = 70 inches = 5.833 ft or 1.778 m

work done, W = F x d

W = 362 x 5.833 = 2111 ft lb.

W = 1610.256 x 1.778 = 2863 N m

So, correct answer is Option (a)

(Please rate my answer if you find it helpful, good luck...)

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