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NEET2013PhysicsCenter of Mass, Momentum and CollisionActual

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 ~kg moves with a speed of 12 ~ms ⁻¹ and the second part of mass 2 ~kg moves with 8 ~ms ⁻¹ speed. If the third part flies off with 4 ~ms ⁻¹ speed, then its mass is

Options

  1. A3 ~kg
  2. B5 ~kg
  3. C7 ~kg
  4. D17 ~kg

Correct answer

B. 5 ~kg

Step-by-step solution

We have p₁+p₂+p₃=0 [ p=m v] aligned & 1 12 i+2 8 j+p₃=0 & 12 i +16 j + p ₃=0 & P ₃=-(12 i +16 j ) & p ₃= (12)^2+(16)^2 & = 144+256 & =20 ~kg - m / s aligned Now, p₃=m₃ v₃ m₃= p₃ V₃ = 20 4 =5 ~kg

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