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A person who climbs up something (e.g., a hill, a ladder, the stairs) from the g

ID: 1360963 • Letter: A

Question

A person who climbs up something (e.g., a hill, a ladder, the stairs) from the ground gains potential energy. A person's weight (F = mg) is usually measured in pounds. For conversions, you may need to know that the weight of 1 pound is equal to 4.448 Newtons. How many meters above the ground would a 215 lb person have to climb to gain 3 kilojoules (3000 joules) of potential energy? Would a person who weighs more than this weight have to go higher, go lower, or go to the same height to obtain the same amount of potential energy?

Explanation / Answer

a) gain in kinetic energy = Weight*height

3000 = 215*4.448*h

==> h = 3000/(215*4.448)

= 3.137 m

b) lower height

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