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Midterm Exam - 1 Physics 200a Midterm 18 October 2006 70...

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1 Physics 200a Midterm 18 October 2006 70 minutes I suggest you draw pictures, write neatly and go over the exam quickly before deciding the order in which to attack the problems. I. A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel (a solid disc) of mass M , radius R , anchored at its center, initially at rest, but free to rotate. (Figure 1.) (i) Which of energy, momen- tum and angular momentum is conserved for the bullet+wheel system? Give a few words of explanation. (ii) Find ω f the final angular velocity of the wheel. 10 II. A wooden block of mass M and negligible width sits on frictionless table L meters from the edge. At t = 0 bullet of mass m and velocity v 1 penetrates it from the left and exits to the right with a speed v 2 . (i) When will the block fly off the table? (ii) If the table has a height h how far from the edge of the table will it land? 10 (Neglect the loss of wood in block due to bullet penetrating it and the time it takes bullet to traverse block.) III. Consider the force
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