2003MechSolutions - 2003 AP Physics Mechanics Exam 1) a) b)...

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2003 AP Physics Mechanics Exam 1) a) ( 29 s m v t t t dt d dt dx v t t x 2 0 2 2 3 2 2 1 2 2 1 2 3 3 = + = + = = + = b) i) ( 29 200 300 4 450 2 2 3 100 2 1 2 1 2 4 2 2 2 + + = + = = t t t mv K ii) ( 29 t t m t dt d m dt dv m ma F 300 3 2 2 3 2 = = + = = = iii) ( 29 t t t t Fv P 600 450 2 2 3 300 3 2 + = + = = c) ( 29 s m v s m v mv mv K W 2 8 2 2 2 3 2 1 2 1 0 2 2 2 0 2 2 = = + = - = = ( 29 ( 29 J K W 3000 2 8 100 2 1 2 2 = - = = d) The student does more than 3000 J of work on the box, and the box does work against the friction force. The total energy of the box increases by exactly 3000 J. Therefore the work done on the box by the student is greater than 3000 J, the answer to part (c). 2) a) gH v gH v Mv MgH 2 2 2 1 2 2 = = = b) ( 29 2 2 2 2 gH v M Mv v v M M Mv o o f f o = = = + = c) D Mg k Mg kD F M m k m T y = = - = = = 0 2 2 π g D D Mg M k m T 2 2 2 2 2 = = = d) The speed of the pan is a maximum when it is at the new equilibrium position
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2003MechSolutions - 2003 AP Physics Mechanics Exam 1) a) b)...

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