The final velocity of the second ball is +10 m/s
Explanation:
We can solve this problem by using the principle of conservation of momentum. In fact, the total momentum of the system must be conserved before and after the collision, so we can write:
where:
is the mass of the first ball
is the initial velocity of the first ball (we take its direction as positive direction)
is the final velocity of the first ball
is the mass of the second ball
is the initial velocity of the second ball
is the final velocity of the second ball
Re-arranging the equation and substituting the values, we find:
And since the sign is positive, the direction is the same as the initial direction of the first ball.
Learn more about momentum here:
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