AIIMS2019PhysicsCenter of Mass, Momentum and Collision
A spacecraft of mass 100 ~kg breaks into two when its velocity is 10^4 ~m ~s ⁻¹ . After the break, a mass of 10 ~kg of the spacecraft is left stationary. The velocity of the remaining part is
Options
- A10^3 ~m ~s ⁻¹
- B11.11 10^3 ~m ~s ⁻¹
- C11.11 10^2 ~m ~s ⁻¹
- D10^4 ~m ~s ⁻¹
Correct answer
B. 11.11 10^3 ~m ~s ⁻¹
Step-by-step solution
From conservation of momentum M v=m₁ v₁+m₂ v₂ Here, M=100 ~kg , v=10^4 ~m ~s ⁻¹ array ll & m₂=90 ~kg , v₂=? & 100 10^4=10 0+90 v₂ or & v₂= 100 10^4 90 =11.11 10^3 ~m ~s ⁻¹ array