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Standard X

Physics

Conservation of Momentum

If the initia...

Question

If the initial velocity of m₁is v m/s and initial velocity of m₂ is 2 v m/s. After collision m₂stops, then what is the final velocity of m₁ after collision? If m₁ = m Kg and m₂ = 2m Kg.

10 v m/s

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2 v m/s

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5 v m/s

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Solution

The correct option is C
5 v m/s

Initial velocity of m₁ = v m/s;

Initial velocity of m₂ = 2v m/s

mas of m₁ = m kg

mass of m₂= 2m Kg

Initial momentum of the system= mv + 4mv = 5 mv

Final velocity of m₁ = u m/s (Yet to be found)

Final velocity of m₂ = 0 m/s

Final momentum = (2m x 0) + (m x u)

So according to conservation of momentum; mu = 5 mv

u = 5v m/s.

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If the initial velocity of m1 is v m/s and initial velocity of m2 is 2 v m/s. After collision m2 stops, then what is the final velocity of m1 after collision? If m1 = m Kg and m2 = 2m Kg.

If the initial velocity of m₁is v m/s and initial velocity of m₂ is 2 v m/s. After collision m₂stops, then what is the final velocity of m₁ after collision? If m₁ = m Kg and m₂ = 2m Kg.