the total momentum of the two balls is
m v1 + m v2
which is the total mass times the final v
in the first case
m v1 + m v2 = (2 m) v
m (v1+v2) = 2 m v
2 v = 11.9-10.5 = 1.4
v = .7
in the second case
2 m ( 11.9) + m (-10.5) = 3 m v
23.8 - 10.5 = 3 v
solve for v
Two balls are approaching each other head-on. Their velocities are +11.9 and -10.5 m/s. Determine the velocity of the center of mass of the two balls if (a) they have the same mass and (b) if the mass of one ball (v = 11.9 m/s) is twice the mass of the other ball (v = -10.5 m/s).
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