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1. An internal explosion breaks an object, initially at rest, into two pieces, one of which...

1. An internal explosion breaks an object, initially at rest, into two pieces, one of which has 1.8 times the mass of the other. If 8800 J were released in the explosion, how much kinetic energy did each piece acquire?

2. A ball A of mass m makes a head-on elastic collision with a second ball B (at rest) and rebounds in the opposite direction with a speed equal to one-fourth its original speed. What is the mass of the second ball B?

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Answer #1

A ball A of mass m makes a head-on elastic collision with a second ball B (at rest) and rebounds in the opposite direction with a speed equal to one-fourth its original speed. What is the mass of the second ball B?

If ball B is at rest at the start, we can apply the following equation for a static collision

where

We solve the equation for and obtain:

Substituting values, we obtain:

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