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The answer depends on the level of physics you have attained.

At the basic level, the collision is elastic. If the velocity of the small ball, of mass m, changes from u to v, and the initial velocity of the big ball, of mass M, changes from U to V,.due to the conservation of [kinetic] energy (and multiplying by 2), you get

m(v^2 - u^2) = M(V^2 - U^2)


Also, by conservation of momentum

mu + MU = mv + MV.


The small ball imparts some of its kinetic energy to the big ball. Depending on their relative masses, the small ball may rebound.


In a more sophisticated model the collision will be inelastic and some energy will be lost - converted to heat/sound.

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Q: What will happen to the velocity and momentum of each ball when the small ball hits the heavier large ball?
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