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03quiz_11 - Physics 9A-C Quiz week#3 Name ID last 4...

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Physics 9A-C Quiz week #3 Name: 4/15/2011 ID last 4: F T F T F T F N mg Two crates, one with mass 6.00 kg and the other with mass 3.00 kg, sit on the frictionless surface of a frozen pond connected with an ideal massless rope. A woman wearing golf shoes so her feet don’t slip pulls horizontally on the 3.00 kg crate with a force F of 18.0 N. a) ( 3 pts) What is the acceleration of the system? There is a total force on the system of Í F sys = 18N. Using the second law, Í F s = m s a õ a = Σ F s m s = 18.0 N 9.00 kg = 2.0 m/s 2 . b) (2 pts) What is the acceleration of the 6.00 kg crate? The rope couples the two crates together so it must be accelerating at the same rate: 2.0 m/s 2 . c) (3 pts) Draw a free body diagram for the 6.00 kg crate, and use that diagram and Newton’s second law to find the tension in the rope. Summing the x forces, only the tension force acts horizontally on the crate so Í F x = F T. Using the 2nd law: F T = m 6 a = ( 6.00 kg)(2.0 m/s
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