The final speed of the 1.0 kg ball is 1.9 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, therefore we can write:
where we have:
is the mass of the first ball
is the initial velocity of the first ball (taking its direction as positive direction)
is the final velocity of the first ball (in the opposite direction)
is the mass of the second ball
is the initial velocity of the second ball
is the final velocity of the second ball
By re-arranging the equation and by substituting the values, we find: the final velocity of the second ball:
And since the sign is negative, it means that the second ball travels in the same direction it was initially travelling.
Its speed is therefore (magnitude of the velocity) 1.9 m/s.
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