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# 6a - 1 after it moves up 2.0 m m 2 m 1 m 3 Solution...

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PHY2053 – Section 7392 Quiz #6 Friday, February 20, 2004 Name_____________KEY______________ UFID___________________ Please read the problem carefully and be sure to show all of your work. Partial credit will be given. Three objects with masses m 1 = 3.0 kg, m 2 = 7.0 kg, m 3 = 8.0 kg are attached to strings by frictionless pulleys. The table is frictionless, and the system is released from rest. Using energy concepts, find the speed of m
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Unformatted text preview: 1 after it moves up 2.0 m. m 2 m 1 m 3 Solution: Initially: PE i = 0 (take the initial positions of m 1 and m 3 to be y = 0) KE i = 0 Finally: PE f = m 1 gh + m 3 g(-h) where h=2 m is the distance moved up (down) by m 1 (m 1 ) K E f = ½ (m 1 + m 2 + m 3 ) v 2 Conservation of energy: PE i + KE i = PE f + KE f ! m 1 gh + m 3 g(-h) + ½ (m 1 + m 2 + m 3 ) v 2 = 0 Solve for v: v = ( ) 3 2 1 1 3 2 m m m gh m m + + − = 3.3 m/s...
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