A sphere of mass m moving with velocity v collides head-on another sphere of same mass which is at rest. The ratio of final velocity of the second sphere to the initial velocity of the first sphere is ( e is the coefficient of restitution and collision is inelastic)

Question

A sphere of mass m moving with velocity v collides head-on another sphere of same mass which is at rest. The ratio of final velocity of the second sphere to the initial velocity of the first sphere is ( e is the coefficient of restitution and collision is inelastic), e - 1 2, e 2, e + 1 2, e

MARKS App · Accepted Answer

m u + 0 = m u 1 + m u 2 υ 1 + υ 2 = υ ....(i) e = υ 2 − υ 1 υ − 0 e υ = υ 2 − υ 1 ..(ii) Add equation (i) & equation (ii) e υ + υ = 2 υ 2 υ 2 = υ ( e + 1 ) 2 υ 2 υ = e + 1 2

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