A ball of mass 2m strikes a stationary ball of mass m head-on. The velocity with which the 2m ball strikes equals the velocity of the m ball after impact. Coefficient of restitution is:
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Question

A ball of mass 2m strikes a stationary ball of mass m head-on. The velocity with which the 2m ball strikes equals the velocity of the m ball after impact. Coefficient of restitution is:

G1 Physics · Accepted Answer

Use conservation of linear momentum together with e = (relative speed of separation)/(relative speed of approach). Solving the two collision equations gives C: 1/2.