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By Crowell B.

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2 Potential Energy: Energy of Distance or Closeness 31 Example: dropping a rock Question: If you drop a 1-kg rock from a height of 1 m, how many joules of KE does it have on impact with the ground? 8 N. 8 N)(-1 m)≈-10 J. ) Conservation of energy says that the loss of this amount of PE must be accompanied by a corresponding increase in KE of 10 J. It may be dismaying to note how many minus signs had to be handled correctly even in this relatively simple example: a total of four. Rather than depending on yourself to avoid any mistakes with signs, it is better to check whether the final result make sense physically.

This doubled force is transmitted through the right-hand rope to the stump. It might seem as though this arrangement would also double the work done by the tractor, but look again. As the tractor moves forward 2 meters, 1 meter of rope comes around the pulley, and the pulley moves 1 m to the left. Although the pulley exerts double the force on the stump, the pulley and stump only move half as far, so the work done on the stump is no greater that it would have been without the pulley. The same is true for any mechanical arrangement that increases or decreases force, such as the gears on a ten-speed bike.

S A solution is given in the back of the book. ✓ A computerized answer check is available. 56 Chapter 3 Work: The Transfer of Mechanical Energy ∫ A difficult problem. A problem that requires calculus. (b) Convert your answer from (a) into units of kcal. 7. (a) The crew of an 18th century warship is raising the anchor. The anchor has a mass of 5000 kg. The water is 30 m deep. The chain to which the anchor is attached has a mass per unit length of 150 kg/m. Before they start raising the anchor, what is the total weight of the anchor plus the portion of the chain hanging out of the ship?

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