MHT CET20228 Aug 2022Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual
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 second sphere to the initial velocity of the first sphere is ( e is coefficient of restitution and collision is inelastic)
Options
- Ae-1 2
- Be 2
- Ce+1 2
- De
Correct answer
C. e+1 2
Step-by-step solution
aligned & m V+0=m V₁+m V₂ & V₁+V₂=V .(1) & e= V₂-V₁ u₁-u₂ & e= V₂-V₁ V-0 & e V=V₂-V₁ .(2) aligned By solving these equations, aligned & e V+V=2 V₂ & V₂= V(e+1) 2 & V₂ V = e+1 2 aligned