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Unformatted text preview: Morgan, Mena Homework 5 Due: Oct 10 2007, 11:00 pm Inst: Opyrchal, H 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points A hockey puck is given an initial speed of 24 m / s on a frozen pond. The puck remains on the ice and slides 118 m before coming to rest. The acceleration of gravity is 9 . 8 m / s 2 . What is the coefficient of friction between the puck and the ice? Correct answer: 0 . 249049 . Explanation: Basic Concept: Newtons Second Law: F net = ma Solution: From kinematics, 0 = v 2 + 2 ax a = v 2 2 x since the puck comes to a rest. Consider the free body diagram for the situation: N N mg Vertically, the puck is in equilibrium, so F net = N  mg = 0 N = mg Horizontally, after the puck is given its initial velocity, the friction force f k = N = mg is the only unbalanced force acting on it. Thus, f net = ma = 0 f k = mg = a g = v 2 2 gx = (24 m / s) 2 2(9 . 8 m / s 2 )(118 m) = 0 . 249049 keywords: 002 (part 1 of 1) 10 points A 4 . 9 kg block slides down an inclined plane that makes an angle of 25 with the horizontal. Starting from rest, the block slides a distance of 2 . 2 m in 4 . 9 s. The acceleration of gravity is 9 . 81 m / s 2 . Find the coefficient of kinetic friction be tween the block and plane. Correct answer: 0 . 445696 . Explanation: Let : m = 4 . 9 kg , = 25 , x = 2 . 2 m , and t = 4 . 9 s . 4 . 9 k g 25 Consider the forces acting on the block as it slides down the incline: ~ N ~ f k m~g From kinematics, since v = 0, x = v t + 1 2 a ( t ) 2 = 1 2 a ( t ) 2 a = 2 x ( t ) 2 = 2(2 . 2 m) (4 . 9 s) 2 = 0 . 183257 m / s 2 . Morgan, Mena Homework 5 Due: Oct 10 2007, 11:00 pm Inst: Opyrchal, H 2 Applying X ~ F = m~a to the block, X F y = N  mg cos = 0 mg cos = N and X F x = mg sin  f k = ma mg sin  k N = ma mg sin  k mg cos = ma. Thus k = g sin  a g cos = (9 . 81 m / s 2 ) sin25  (0 . 183257 m / s 2 ) (9 . 81 m / s 2 ) cos25 = . 445696 . keywords: 003 (part 1 of 2) 10 points A 8 kg block rests on a horizontal table, at tached to a 7 kg block by a light string as shown in the figure....
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This note was uploaded on 04/07/2012 for the course PHYSICS 121 taught by Professor James during the Spring '12 term at University of Texas at Austin.
 Spring '12
 James
 Physics, Work

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