exam01_sol_f11 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Fall Term 2011 Exam 1 Solutions Problem 1 of 4 (25 points): Cars on the road At time t = 0 , two cars are next to each other, traveling in the same direction with initial speed v 0 . Car 1 moves at constant speed, while car 2 accelerates according to a 2 = ! " # t , for 0 < t < t f , where and are positive constants. At time t = t f , car 2 has traveled twice as far and has twice the speed of car 1. Find and in terms of v 0 and t f . Solutions:
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Problem 2 of 4 (25 points): Forces and vectors A block of mass M is lying stationary on an inclined plane with angle ! with respect to the horizontal. There is static friction between the block and the inclined plane with coefficient μ s . The angle is less than the maximum angle such that the block does not slip. The magnitude of the acceleration of gravity is g in the downward vertical direction. a) Draw a free-body (force) diagram for the block. Clearly identify your forces with whatever symbols you find appropriate. b) Suppose we define two separate coordinate systems. In the first system, ˆ i points horizontally to the right and ˆ j points vertically upward. In the second system, ˆ b points down along the inclined
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exam01_sol_f11 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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