Problem 9.62 Part A Engineers are designing a systern by which a falling mass Tr

Question

Problem 9.62 Part A Engineers are designing a systern by which a falling mass Tr& imparts kinetic energy to rotating uniform drum to which it is site ched by thin. very light wre wrepped around the rim of the drum (the figure (Liqure 1)). here is no sppreciable ticton in the axdle ot the drum, and everythng starts trom rest Ths sysem s being estei onen u is o be used on Mars, where the acceleration due to gravity is 3.71 m/s In the earth tests, when is sst to 15.0 kg and allewed to fall through 5.50 , it gives 1500J of kinetic energy to the drum f the system is operated on Mers, through what distance would the 15.0 kg mass have to fall to give the seme anount of kinetic energy to the drum? Submit My Answers e Up Part B How tast would the 15 d-kg mass be moving an Mars just as the dum ganed 150 ot knetc energy? ct 1 n/'s Submit My Answers SEUp Drum

Explanation / Answer

a) 1/2 m v2 + 150 = m g h

1/2 m v2 = (15 * 9.8 * 5.5) - 150

= 658.5 J

1/2 m v2 + 150 = m g h

h = 658.5 / (15 * 3.71) + [150 / (15 * 3.71)]

h = 14.53 m

b) 1/2 m v2 = 658.5

v = sqrt [2 * 658.5 / 15]

v = 9.37 m/s

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