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AP EAMCET202124 Aug 2021Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A shell of mass m moving with velocity v suddenly breaks into two pieces. If one of those parts having mass m / 6 remains stationary, find the velocity of the other part.

Options

  1. A6 v 5
  2. B2 v
  3. C3 v 4
  4. D4 v 3

Correct answer

A. 6 v 5

Step-by-step solution

Given that, mass of shell =m Mass of lst part, m₁= m 6 Then, mass of 2nd part, m₂=m- m 6 = 5 m 6 Velocity of lst part, v₁=0 Velocity of shell =v Let velocity of 2nd part =v₂ By using law of conservation of linear momentum, Initial linear momentum = final linear momentum. m v=m₁ v₁+m₂ v₂ Substituting the values, we get m v= m 6 0+ 5 m 6 v₂ v₂= 6 5 v Hence, the velocity of 2 nd part is 6 5 v in the same direction as that of shell.

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