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# FNT7 - FNT#7 Force slope and the particle model Damien...

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FNT #7: Force, slope and the particle model Damien Martin November 27, 2006 Question 1: Throwing a ball This questions asks about a ball that is thrown with the same initial speed on the Earth and the moon. We are told that g Moon g Earth / 6. a) Draw an energy-interaction diagram for both of these situations We know that KE i = 1 2 mv 2 i for both situations, and that KE f = 0, as we are interested in the highest point. We also know (either from conservation of energy, or common sense) that y f > y i . Finally we know that this is a closed energy system. These considerations lead us to the following picture: PE y KE v y i = 0 m y f = ?? v i > 0 v f = 0 ∆PE + ∆KE = 0 mg ( y f 0) + 1 2 m (0 2 v 2 i ) = 0 Note that this diagram works for both the Earth and the moon. b) Compare the maximum heights In both cases, all the initial KE got converted into PE. As the initial amount of KE in each case is the same, the final amount of PE is the same. To show 1

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this: ∆PE + ∆ KE = 0 (PE f 0) + (0 KE i ) = 0 PE f = KE i
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