Physics1 - Physics 140 Fall 2002 Midterm 3 1(P A bowling...

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Physics 140 Fall 2002 Midterm 3 1 1. (P) A bowling ball of diameter 26 cm is initially at rest at the top of a ramp inclined 37˚ above horizontal. You give it a gentle nudge, and it begins to roll without slipping down the ramp. At what distance along the ramp will the ball’s angular velocity reach 20 rad/s? a) 0.30 m b) 0.80 m c) 1.7 m d) 3.2 m e) depends on the mass of the bowling ball. 2. (P) You are reading a science fiction story that involves a 4.6x10 6 kg spaceship orbiting planet Xanadu, a planet with known escape velocity v esc =134 m/s. The ship’s engineer is asked to calculate the work needed from the ship’s engines to move the ship from a stable circular orbit of radius 2 r X to one of radius 6 r X . What is the correct answer to this question?
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Physics 140 Fall 2002 Midterm 3 2 3. (P) Two identical water bugs of mass m sit at rest on either end of a small stick of wood of mass 5 m and length L that floats in calm water. Bug 1 decides to leave and jumps off in a direction perpendicular to the stick, and just after the jump it is observed to have a horizontal velocity v relative to the water. What is the angular velocity of the stick+bug 2 system about its center of mass after bug 1 jumps? ( Hint: The stick floats freely in the water. How will the center-of-mass of the stick+bug 2 system react when bug 1 jumps off? ) a) (14/15)( v / L ) b) (17/19)( v / L ) c) (49/45)( v / L ) d) (18/15)( v / L ) e) (21/19)( v 2 / gL )
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