2002MechSolutions - x x dx d dx dU F + = +-=-= c) s m v v...

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2002 AP Physics Mechanics Exam 1) a) ( 29 ( 29 ( 29 ( 29 ( 29 g M M v m m v m f 500 8 1000 12 1000 2 1 10 1 = + = = + = b) ( 29 ( 29 t t dt dt v dx dt dx v t o t o x o 5 1 ln 5 8 5 1 8 + = + = = = c) ( 29 2 5 1 60000 5 1 8 1500 t t dt d dt dv m F dv m dt F + - = + = = = d) ( 29 s N t dt dt F t - = + - = 10908 5 1 60000 2 0 2 0 2) a) ( 29 2 2 2 2 1 4 2 1 4 2 1 4 mr r m ML I = = = b) 2 2 2 2 2 2 2 1 2 2 1 4 4 2 1 4 4 2 1 2 1 ϖ I mv mgh I v m m gh m mgh I v M gh M total total + = + + = + + = gh v mv mv mv mr mv mr mv mgh 5 8 4 5 4 1 4 1 2 1 2 1 2 2 2 2 2 2 2 2 2 2 = = + = + = + = c) The collision is completely inelastic, but the mass of spring is negligible so Q = 0 k mgh x kx mgh U K U final initial 4 2 1 2 2 max = = = = d) If the mass of the spring cannot be ignored, Q ≠ 0 and Q U K U final initial + = = max therefore U final is smaller, and x max is smaller. 3) a) b) ( 29 2 2 4 2 4
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Unformatted text preview: x x dx d dx dU F + = +-=-= c) s m v v mv x x K U o f 2 2 1 2 1 2 4 2 2 4 2 1 2 4 2 4 2 2 = = + + +-= +-+- = -d) There are many possible answers, including measuring the speed using photogates, by e) measuring the compression of a spring, or measuring the range of the glider if it flies off of the track. U (J) 2 x (m)...
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