solutions_for_chapter_9 - 3. Picture the Problem: The owner...

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3. Picture the Problem : The owner walks slowly toward the northeast while the cat runs eastward and the dog runs northward. Strategy: Sum the momenta of the dog and cat using the component method. Use the known components of the total momentum to find its magnitude and direction. Let north be in the y direction, east in the x direction. Use the momentum together with the owner’s mass to find the velocity of the owner. Solution: 1. Use the component method of vector addition to find the owner’s momentum: 2. Divide the owner’s momentum by his mass to get the components of the owner’s velocity: 3. Use the known components to find the direction and magnitude of the owner’s velocity: Insight: We bent the rules of significant figures a bit in step 3 in order to avoid rounding error. The owner is moving much slower than either the cat or the dog because of his larger mass. 19. Picture the Problem : The ball rebounds from the bat in the manner indicated by the figure at right. Strategy: The impulse is equal to the vector change in the momentum. Analyze the x and y components of separately, then use the components to find the direction and magnitude of Solution: 1. (a) Find : 2. Find :
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3. Use equation 9-6 to find 4. Find the direction of above the horizontal 5. Find the magnitude of 6. (b) If the mass of the ball were doubled the impulse would double in magnitude. There would be no change in the direction. 7. (c) If of the ball is unchanged, the impulse delivered to the ball would not change, regardless of the mass of the bat. Insight: The impulse brings the ball to rest horizontally but gives it an initial horizontal speed. Verify for yourself that this ball will travel straight upward 16.5 m (54 feet) before falling back to Earth. An easy popup! 25. Picture the Problem : The astronaut and the satellite move in opposite directions after the astronaut pushes off. The astronaut travels at constant speed a distance d before coming in contact with the space shuttle. Strategy: As long as there is no friction the total momentum of the astronaut and the satellite must remain zero, as it was before the astronaut pushed off. Use the conservation of momentum to determine the speed of the astronaut, and then multiply the speed by the time to find the distance. Assume the satellite’s motion is in the negative
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This note was uploaded on 01/05/2012 for the course CHEM 3321 taught by Professor Bean during the Spring '11 term at American Jewish University.

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solutions_for_chapter_9 - 3. Picture the Problem: The owner...

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