final_review_sunday

final_review_sunday - Stefan's Review Problems for the...

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Stefan’s Review Problems for the Final Exam 1 Terminal Work Suppose the air resistance on a particular object is well-approximated by F air = - bv 3 / 2 , where the minus sign indicates that the force is in the opposite direction of the velocity (this is a drag force). I throw the object into the air with a large initial velocity v 0 , and it returns to my hand some time later. When it returns to my hand, the object is moving at its terminal velocity. What is the work done by the air during this time? 2 Accelerating and Not Slipping A bowling ball sits on the floor of a train and everything is at rest. If the train begins to accelerate to the right with acceleration a , find the acceleration of the bowling ball. Assume that it rolls without slipping. 3 Tangential Launch A small rocket is launched tangentially with initial velocity v 0 off of the surface of a planet of mass M and radius R . The rocket is moving fast enough so that it doesn’t crash imme- diately. What is the maximum distance from the center of the planet that the rocket will
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final_review_sunday - Stefan's Review Problems for the...

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