mt1sec1

mt1sec1 - University of California Berkeley Physics 8A Fall...

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1 x y v 0 d University of California, Berkeley Physics 8A, Fall 2010 ( Xiaosheng Huang ) Midterm 1 Wednesday, 10/6/2010 6:00 - 8:00 PM Note : You are allowed one formula sheet ( 8 ½ ” by 11”, single sided ) . No calculators or any other electronic devices are permitted. Show all work, and take particular care to explain what you are doing. Please use the symbols described in the problems, define any new symbols that you introduce, and label any drawings that you make. Throughout this exam, the magnitude of the earth gravitational acceleration is g (>0). 1) (22 pts.) A cannonball is fired horizontally from the edge of a cliff, and the ball is fired with initial horizontal velocity v 0 = v 0 i , where i is the unit vector in the direction of the positive x -axis. Assume that the cannon is fired at time t = 0. a) Given that the projectile lands at a distance d from the cliff, as shown in the figure, find the height of the canon, H , in terms of d , v 0 and g . b) Suppose the cannonball hits the ground at time t g . Find its y position at t = t g /2 as a fraction of H . That is, express your answer in terms of H .
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2 m B m A k F 1 F 2 2) (28 pts.) The following two blocks, with masses, m A and m B , are connected by a
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