Elastic Collision of two tennis balls

[Physicsnuubie]

Hi, I came across this question which i couldn't figure out why the kinetic energy of the table-tennis ball is greater than the bowling ball after collision.

Qn:
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. After the collision, compared to the bowling ball, the table-tennis ball has (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 (e) the same magnitude of momentum and the same kinetic energy..

Answer is b.

I understand why momentum is smaller. So you can actually skip explaining that part to me. Thank you very much!

 

[JeffKoch]

Take the limit of a bowling ball that is so heavy that it does *not* move at all when the tennis ball hits it. Does the tennis ball have more kinetic energy than the bowling ball?