Answer:
4.0 m/s to the EAST
Step-by-step explanation:
This is a conservation of momentum problem. Total momentum before the collision must equal total momentum after the collision.
Momentum = P = mv
Assume positive direction is to the EAST, negative is to the WEST
v = velocity of 8-ball after the collision
(1.25 kg)(3.0 m/s) + (1.25 kg)(0 m/s) = (1.25 kg)(-1.0 m/s) + (1.25 kg)(v)
3.75 kg·m/s + 0 = -1.25 kg·m/s + (1.25 kg)(v)
(1.25 kg)(v) = 1.25 kg·m/s + 3.75 kg·m/s = 5.0 kg·m/s
v = (5.0 kg·m/s) / (1.25 kg) = 4.0 m/s
v = velocity of 8-ball after the collision = 4.0 m/s to the EAST