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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a
5.6 ms-1
b
6.4 ms-1
c
3.2 ms-1
d
4.6 ms-1
answer is A.
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Detailed Solution
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
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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