JEE Main Physics question

Two bodies of mass and are moving with the same kinetic energy. If they are stopped by the same retarding force, then

(A)Both bodies cover the same distance before coming to rest
(B)If , the time taken for body of mass to come to rest is more
(C)If , then body of mass has more momentum than that of mass
(D)All of the aboveCorrect

Answer: (D)

Solution

Same KE means , so momentum scales as — the heavier body always has the larger momentum. Time to stop under a constant retarding force is , so the heavier body (larger ) takes longer to stop, confirming (B). The distance covered is

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Question ID VK-158619