A set of n-identical cubical blocks lies at rest along a line on a smooth horizontal surface. The separation between any two adjacent blocks is L . The block at one end is given a speed V towards the

Question

A set of n-identical cubical blocks lies at rest along a line on a smooth horizontal surface. The separation between any two adjacent blocks is L . The block at one end is given a speed V towards the next one at time t = 0 . All collisions are completely inelastic, then :-

TestHub · Accepted Answer

v 2 ​ = 3 V ​ v k ​ = k + 1 V ​ t k ​ = v k ​ L ​ = V ( k + 1 ) L ​ t = ∑ k = 1 n − 1 ​ V ( k + 1 ) L ​ t = V L ​ ( 2 + 3 + ⋯ + n ) t = V L ​ [ 2 n ( n + 1 ) ​ − 1 ] t = 2 V n ( n − 1 ) L ​ ​ ⟹Option A is correct. P i ​ = mV M = nm V c m ​ = M P i ​ ​ = nm mV ​ V c m ​ = n V ​ ​ ⟹ Option C is correct.

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Options:(select one or more)

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