The velocity of the red ball after the collision is 5.8 m/s
Explanation:
In absence of external forces on the system, we can apply the principle of conservation of momentum. The total momentum of the system must be conserved before and after the collision, so we can write:
where:
is the mass of the pool ball
is the initial velocity of the pool ball
is the final velocity of the pool ball
is the mass of the red ball
is the initial velocity of the red ball
is the final velocity of the red ball
Solving the equation for v2, we find the final velocity of the red ball after the collision:
Learn more about collisions:
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Hypothesis
Let there is no air drag or any other resistance force due to surrounding
Now the force equation of ball is given as



so the ball will be dropped down by acceleration a = g and this acceleration is independent of size and mass of the ball
So in this case both balls will be dropped by same acceleration.
So here both balls will hit the ground at same time
Here is the link with ans on it
https://moorsscience.wikispaces.com/file/view/chapter+12+answers.pdf
hope it helps
the answer to your question is 10.5 kJ