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Q.

A 75 kg man stands at the rear end of a platform of mass 25kg and length 8m, while system is moving initially at $4 m / s$ over a frictionless surface. at $t = 0,$ he walks at $2 m / s$ relative to the platform and then stops at the front end. Find the displacement of platform during the man walk on the platform $(i n m) .$

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Detailed Solution

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Conservation of linear momentum $(75 + 25) 4 = 75 (v_{p} + 2) + 25 v_{p}$

$v_{p} = 2.5 m / s$

$d = 2.5 \times \frac{8}{2} = 5 m (t = \frac{l}{v} = \frac{8}{2})$

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A 75 kg man stands at the rear end of a platform of mass 25kg and length 8m, while system is moving initially at 4 m/s over a frictionless surface. at t=0, he walks at 2 m/s relative to the platform and then stops at the front end. Find the displacement of platform during the man walk on the platform (in m).