AP EAMCET2001PhysicsCenter of Mass, Momentum and Collision
The velocities of three particles of masses 20 ~g , 30 ~g and 50 ~g are 10 i , 10 j and 10 k , respectively. The velocity of the centre of mass of the three particles is
Options
- A2 i +3 j +5 k
- B10( i + j + k )
- C20 i +30 j +5 k
- D2 i +30 j +50 k
Correct answer
A. 2 i +3 j +5 k
Step-by-step solution
aligned & m₁=20 ~g , m₂=30 ~g , m₃=50 ~g & v ₁=10 i , v ₂=10 j , v ₃=10 k aligned aligned & v_ cm = m₁ v ₁+m₂ v ₂+m₃ v ₃ m₁+m₂+m₃ &= 20 10⁻³ 10 i +30 10⁻³ 10 i +50 10⁻³ 10 k (20+30+50) 10⁻³ &= 200 i +300 j +500 k 100 &=2 i +3 j +5 k aligned