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Manipal MET2013PhysicsCenter of Mass, Momentum and Collision

For a body moving with relativistic speed if the velocity is doubled, then

Options

  1. Aits linear momentum is doubled
  2. Bits linear momentum will be less than double
  3. Cits linear momentum will be more than double
  4. Dits linear momentum remains unchanged

Correct answer

C. its linear momentum will be more than double

Step-by-step solution

From Einstein's theorem Relativistic momentum = m₀ v 1-v^2 / c^2 Putting v=2 v we get p= m₀(2 v) 1-(2 v)^2 / c^2 =2 ( m₀ v 1-(2 v)^2 / c^2 ) So the momentum becomes more than the double.

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