Find the magnitude of the final velocity of the 0.141 kg glider.?

Question

A 0.141 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.880 m/s . It has a head-on collision with a 0.290 kg glider that is moving to the left with a speed of 2.11 m/s. Suppose the collision is elastic.
A) find the magnitude of the final velocity of the 0.141 kg glider.

B) Find the magnitude of the final velocity of the 0.290 kg glider.

Answer 1

Notation is: V = velocity, M = mass, CR = coefficient of restitution (=1 when elastic), KE = kinetic energy; 1, 2, CM, Rel = body 1, body 2, system, relative (body 1 relative to body 2); (i), (f) = initial, final.
M1,M2 = .141 .29
V1(i),V2(i) = .88 -2.11
VCM = (M1V1(i)+M2V2(i))/(M1+M2) = -1.1318 m/s
VRel(i) = V1(i)-V2(i) = 2.99 m/s
VRel(f) = -CR*VRel(i) = -2.99 m/s
V1(f) = VCM+VRel(f)*M2/(M1+M2) = -3.1437 m/s
V2(f) = VCM-VRel(f)*M1/(M1+M2) = -0.1537 m/s