2000MechSolutions

2000MechSolutions - 2000 AP Mechanics Test Solutions 1 a l...

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2000 AP Mechanics Test “Solutions” 1) a) l ( cm) t 10 (s) T (s) T 2 (s 2 ) 12 7.62 0.762 0.581 18 8.89 0.889 0.790 21 10.09 1.01 1.02 32 12.08 1.21 1.46 b) Equation of best fit line through origin: T 2 = 0.045 l c) 2 2 g f T π ϖ = = = l 2 2 2 4 4 4 877 8.77 0.045 cm m g T slope s s = = = = = l d) exp 9.81 8.77 100% 100% 10.6% 9.81 g g Relative Error g - - = × = × = The relative error (10.4%) exceeds the tolerance (4%) so the experimental value and the accepted value are not in agreement e) 2 9.81 8.77 1.04 m Relative gravity g a downward s = - = - = 2) b) 2 2 bv mg bv ma a g m - = = - As velocity v increases, downward acceleration a decreases. c) 2 2 bv dv bv a g g m dt m = - = - d) Terminal speed is reached when the acceleration is zero and the speed does not increase further: 2 2 2 0 bv bv mg mg a g g v v m m b b = - = = = = e) Gravitational potential energy is converted into kinetic energy and dissipated energy: 2 2 1 1 2 2 2 f mg m g mgh mv Q m Q Q mgh b b = + = + = -
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3) a) 2 0 2 T mg ma T mg - = = = b) i) 3 3 3 3 3 2
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2000MechSolutions - 2000 AP Mechanics Test Solutions 1 a l...

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