In a perfectly elastic collision, both
momentum and kinetic energy are conserved. Let's solve this step by step for
the given situation:
Given:
Mass of Ball A () = 5 kg
Initial velocity of Ball A () = 10 m/s
Mass of Ball B () = 10 kg
Initial velocity of Ball B () = 0 m/s
(Ball B is initially at rest)
Use the formula for the final velocities of
two objects in a perfectly elastic collision:
For two objects with masses and ,
and initial velocities and , the final velocities and
after the collision:
According to Momentum and Kinetic Energy
Conservation, we have
We can solve: