When the 0.500kg ball collides with the stationary ball, momentum is conserved.
Meaning, initial momentum = final momentum.
Momentum of an object is = mass(m) x velocity (v).
If two objects are in the system, then you have to add up both initial momentums and set them equal to the final momentums...
So...
m x v(initial, first object) + m x v(initial, second object) = final momentum.
(0.500kg)(4.0m/s) + (1.0kg)(0m/s) = final momentum.
So the final momentum equals 2.0kgm/s...
D. 2.0 kgm/s