Serway_PSE_quick_ch09

# Serway_PSE_quick_ch09 - Physics for Scientists and...

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Physics for Scientists and Engineers, 6e Chapter 9 – Linear Momentum and Collisions

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Two objects have equal kinetic energies. How do the magnitudes of their momenta compare? 1 2 3 4 25% 25% 25% 25% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. p 1 < p 2 2. p 1 = p 2 3. p 1 > p 2 4. not enough information to tell
Two identical objects ( m 1 = m 2 ) traveling at the same speed ( v 1 = v 2 ) have the same kinetic energies and the same magnitudes of momentum. It also is possible, however, for particular combinations of masses and velocities to satisfy K 1 = K 2 but not p 1 = p 2 . For example, a 1-kg object moving at 2 m/s has the same kinetic energy as a 4-kg object moving at 1 m/s, but the two clearly do not have the same momenta. Because we have no information about masses and speeds, we cannot choose among (1), (2), or (3).

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Your physical education teacher throws a baseball to you at a certain speed, and you catch it. Now the teacher is going to throw you a medicine ball whose mass is ten times the mass of the baseball. You are given the following choices: You can have the medicine ball thrown with (a) the same speed as the baseball, (b) the same momentum, (c) the same kinetic energy. Rank these choices from easiest to hardest to catch. 1 2 3 4 5 20% 20% 20% 20% 20% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. a, b, c 2. a, c, b 3. b, c, a 4. b, a, c 5. c, a, b
catch. If the momentum of the medicine ball is the same as the momentum of the baseball, the speed of the medicine ball must be 1/10 the speed of the baseball because the medicine ball has 10 times the mass. If the kinetic energies are the same, the speed of the medicine ball must be the speed of the baseball because of the squared speed term in the equation for K . The medicine ball is hardest to catch when it has the same speed as the baseball. 10

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Serway_PSE_quick_ch09 - Physics for Scientists and...

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