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Q.

A particle of mass 'm' and initially at rest is acted by a force F = a t. N . Best representation of force displacement graph is (S assumes positive values only ) :

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Detailed Solution

F = at; mdvdt = at; ∫0vmdv = ∫0tat dtmv = at22; mdsdt = at22∫0vmds = ∫0tat22dtms = at36 = a6(Fa)3;∴ S ∝ F3 or F ∝ S13

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