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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

Two particles of masses m and 3m approach each other with different...

Two particles of masses mm and 3m3m approach each other with different velocities. After collision, the particle of mass mm has velocity v→\overset{→}{v} in their centre of mass frame. Velocity of particle of mass 3m3m& in the centre of mass frame is

Options

  1. A−2v→- 2\overset{→}{v}
  2. B−v→2- \overset{→}{v}2
  3. C−v→3- \overset{→}{v}3
  4. D−v→4- \overset{→}{v}4

Correct answer

C. −v→3- \overset{→}{v}3

Step-by-step solution

&

In the centre of mass frame, the total linear momentum of the& system is zero.

Hence, mv→+3mv→′=0m\overset{→}{v} + 3m\overset{→}{v} ' = 0

or v→′=−v→3\overset{→}{v} ' = - \overset{→}{v}3

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