Problem 67

Bob and Kathy, two construction workers on the roof of a building, are about to raise a keg of nails from the ground by means of a light rope passing over a light frictionless pulley 10.0 m above the ground. Bob weighs 900 N, Kathy 600 N, the keg 300 N, and the nails 600 N. Both workers slip off the roof, and the following unfortunate sequence of events takes place. Hanging together on the rope, Bob and Kathy strike the ground just as the keg hits the pulley. Unnerved by his fall, Bob lets go of the rope, and the keg pulls Kathy up to the roof, where she cracks her head against the pulley but gamely hangs on. However, the nails spill out of the keg when it strikes the ground, and the empty keg rises as Kathy returns to the ground. Finally, she has had enough, lets go of the rope, and remains on the ground, only to be hit by the empty keg again. Ignoring the possible mid-air collisions that merely added insult to injury, how much did Bob and Kathy get when they sued the construction company?

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