A) If you hold a ball, and then drop it from a height (H0), the ball will be bou

Question

A) If you hold a ball, and then drop it from a height (H0), the ball will be bounced upward after it hits the ground and reaches a new height, (Ha). Is HA>HO or HO>HA. Why?

B) Now, if you hold an AstroBlaster toy (4 balls) and drop it from a H0, the red ball on top will bounce up to a new height, Hb. Is Hb>H0? Why?

C) Assume all the collisions are elastic and the air resistance can be neglected in both A and B. Use the energy and momentum conservation laws to prove: Ha is less than or equal to H0, Hb is almost equal to (M/m)^2 H0>>H0, where M and m are the masses of the AstroBlaster and the smallest red ball respectively?

Explanation / Answer

a) (H_a Ho each ball collision will give more momentum to the upper ball c) (mgH_0 = 0.5mv^2; ; v = sqrt{2gH_a};; herefore H_a le H_0)

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