OMPhQuiz_10_p84-92 - chapter 10 Systems of Particles...

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84 PhysiQuiz Contents Momentum (Section 10.1) 1. Two blocks and a spring 2. Impulse delivered by an incline 3. Ball hits the wall 4. Two-dimensional inelastic collision Center of mass (Section 10.2) 5. A “combination rule” 6. A boy in a boat Energy and momentum in a two-body system (Section 10.4) 7. Block sliding down a curve 8. Daring professor chapter 10 Systems of Particles
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Consider two blocks held together at rest with a compressed spring between them as shown in the top sketch. Assuming that m 2 5 2 m 1 , find the ratio of their speeds v 2 / v 1 once they are released. Choose one of the following answers: AB C D v 2 / v 1 1 / 2124 Hint: There is no external force acting on the two-block system. The sum of final momenta equals 0 because initially the system is at rest: m 1 v 1 1 m 2 v 2 5 p 1 1 p 2 5 0. Extra: Determine the ratio of the kinetic energies after the blocks are released: K 2 / K 1 . Kinetic energy can be calculated as follows: K 5 mv 2 /2 5 p 2 /(2 m ). Explanation: v 2 / v 1 5 m 1 / m 2 5 1/2. Answer 5 A. Explanation—extra: K 2 / K 1 5 [ p 2 2 /(2 m 2 )][ p 1 2 /(2 m 1 )] 5 m 1 / m 2 5 1/2. Block 2 Block 1 Block 2 Block 1 m 2 m 1 m 2 m 1 v 1 v 2 1. Two Blocks and a Spring PhysiQuiz 85
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Consider the deflection of a ball by a 45° incline. The ball bounces off horizontally, and we assume it does not lose any kinetic energy during the deflection. Determine the impulse vector delivered by the incline to the ball. The impulse vector imparted on the ball by the plane is defined by D p 5 p f 2 p i . Choose one of the following: AB C D Direction cdc d D pp i p i Ï 2 w p i Ï 2 w p i Hint: Sketch the vector diagram first. For the collision, p f 5 p i . Explanation: From the sketch we see that Answer 5 C. p i p f 86 PhysiQuiz 2.
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This note was uploaded on 09/10/2009 for the course PHY 76875 taught by Professor Turner during the Summer '09 term at University of Texas at Austin.

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OMPhQuiz_10_p84-92 - chapter 10 Systems of Particles...

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