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finalsol_11 - Physics 9A-C Final Exam Solutions Cole GMm r...

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Phy 9A-C, Final Solutions, Page 1 of 2 6/8/11 ª ª ª ª F Physics 9A-C Final Exam Solutions Cole [1] a) never b) GMm r 2 ˆ r c) decrease d) steepest e) position f) equal to g) none of the above h) center of mass i) magnitude j) p y . [2] When a force acts on an object, the center of mass of the object will move in the direction of the applied force; hence the ª will move to the right in the same direction as the impulse given to the stick by the bullet. The top of the stick will move to the right and the bottom will tend to stay at rest until it gets pulled by the top. It will move as shown below. This is the same as a field goal kick or kick off in football. The center of the football moves in the direction of the kick. [3] a) (5 pts) v = dx dt = F m ω 2 d dt cos ω t õ v = F m ω 2 ω sin ω t = F m ω sin ω t . b) (5 pts) The initial velocity is at t = 0, õ v = F m ω sin ω t ( ) t = 0 = 0 c) (5 pts) F = ma where a = dv dt = F m ω d dt sin ω t ( ) = F m cos ω t õ F = - cos t.
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