To solve this problem, we can use the
conservation of momentum and conservation of kinetic energy, as the collision
is elastic.
Given:
Mass of ball A:
Mass of ball B:
Initial velocity of ball A:
Initial velocity of ball B:
Final velocity of ball A:
(unknown)
Final velocity of ball B:
(unknown)
Use the conservation of momentum.
The total momentum before the collision
equals the total momentum after the collision:
Substitute the known values:
Use the conservation of kinetic energy.
The total kinetic energy before the
collision equals the total kinetic energy after the collision:
Substitute the known values: