A set of n-identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is L. The block

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A set of n-identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of 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 :

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After k inelastic collisions, mass ( k + 1 ) m moves at k + 1 v ​ and covers the next gap L in time v ( k + 1 ) L ​ . Last block starts at t = v L ​ ( 1 + 2 + ⋯ + ( n − 1 )) = 2 v n ( n − 1 ) L ​ , so (A) is correct. Total momentum = m v , total mass = nm : v c m ​ = n v ​ , so (C) is correct. Answer: (A), (C)

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