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Conservation of Momentum

A boy of 60 k...

Question

A boy of 60 kg running at 3m/s jumps on a trolley of mass 140 kg with 1.5m/s in same direction. What is their common velocity

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Solution

Dear student

Initial momentum of the system = momentum of the boy + momentum of the trolley = 60 × 3+ 140 × 1.5

=> ΔP ₁= 180 + 210 = 390 Ns

Final momentum of the system, ΔP ₂= mass of the boy and trolley × common velocity

=> ΔP ₂= (60+140)v = 200 v

By law of conservation of momentum,

ΔP ₁= ΔP ₂

=> 390 = 200v

=> v = 1.95 m/s

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