Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks B and C are at rest but A is approaching towards B with a speed $10 {ms}^{- 1}$ .
The coefficient of restitution for all collisions is 0.5. The speed of the block C just after collision is approximately

Question

Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks B and C are at rest but A is approaching towards B with a speed $10 {ms}^{- 1}$ .

The coefficient of restitution for all collisions is 0.5. The speed of the block C just after collision is approximately

Infinity Learn · Accepted Answer

For collision between A and B,              m×$$10=mvA+mvB$$⇒$$vB+vA=10$$                            …(i)                         $$e=12=vB-vA10$$ or vB $$-$$ $$vA=5$$                     …(ii)Solving$$ Eqs. $$(i) and (ii), we get                    vB $$=$$ $$7.5$$ $$ms-1Hence$$, A has given $$75$$% of its speed to B and B will also transfer its $$75$$% speed to C.∴                     $$vC=75100$$×$$7.5=5.625$$ $$ms-1$$≃$$5.6$$ $$ms-1$$

Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks B and C are at rest but A is approaching towards B with a speed $10 {ms}^{- 1}$ .
The coefficient of restitution for all collisions is 0.5. The speed of the block C just after collision is approximately

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Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks B and C are at rest but A is approaching towards B with a speed 10 ms-1.The coefficient of restitution for all collisions is 0.5. The speed of the block C just after collision is approximately

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Ready to Test Your Skills?

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Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks B and C are at rest but A is approaching towards B with a speed $10 {ms}^{- 1}$ .
The coefficient of restitution for all collisions is 0.5. The speed of the block C just after collision is approximately