Answer:
8.0 m/s
Step-by-step explanation:
By the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision:

The total momentum before the collision is given only by the momentum of the first sphere, since the second sphere is stationary (so its speed is zero and its momentum is zero as well):

The total momentum after the collision is given only by the momentum of the second sphere, since the first sphere completely stops, so:

Using conservation of momentum, we find
