Physics

We will use the conservation of momentum and conservation of kinetic energy principles to solve this problem.

 

Given:

Mass of sphere 1:

Mass of sphere 2:

Initial velocity of sphere 1:

Initial velocity of sphere 2:

Final velocity of sphere 1:

Final velocity of sphere 2: (unknown)

 

Use the conservation of momentum.

The total momentum before the collision equals the total momentum after the collision:

 

Substitute the known values:

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