Elastic collision between bowling ball and tennis ball

AI Thread Summary
In an elastic collision between a moving table-tennis ball and a stationary bowling ball, the conservation of momentum and kinetic energy principles apply. The table-tennis ball, being lighter, will bounce back with a negative velocity after the collision. The momentum of the table-tennis ball will be smaller compared to the bowling ball, while its kinetic energy will be greater due to its higher speed post-collision. The discussion emphasizes the importance of understanding the vector nature of momentum and the implications of mass differences in elastic collisions. Ultimately, the table-tennis ball has a smaller magnitude of momentum and less kinetic energy compared to the bowling ball after the collision.
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Homework Statement



9.6 A table-tennis ball is thrown at a stationary bowling ball. The
table-tennis ball makes a one-dimensional elastic collision and bounces back
along the same line. Compared with the bowling ball after the collision, does
the table-tennis ball have (a) a larger magnitude of momentum and more
kinetic energy, (b) a smaller magnitude of momentum and more kinetic
energy, (c) a larger magnitude of momentum and less kinetic energy, (d) a
smaller magnitude of momentum and less kinetic energy, or (e) the same
magnitude of momentum and the same kinetic energy?

Homework Equations



p = mv
k = 1/2 m v^2

The Attempt at a Solution



please help me understand this
 
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You have a light moving object (tennis ball) impact and reflect from a heavy stationary object (bowling ball). Think in terms of conservation of momentum and energy. Remember, momentum is a vector so it has a magnitude and direction.
Let's say the ball was moving in the positive direction, then after the impact, its moving in the negative direction. What has to happen to conserve momentum?
 
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