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COMEDK · Physics · 7. Center of Mass Momentum and Collision

Momentum of a body is increased to three times its original value. By what percentage will its kinetic energy change?

  1. A \(800 \%\)
  2. B \(200 \%\)
  3. C \(900 \%\)
  4. D \(300 \%\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(800 \%\)

Step-by-step Solution

Detailed explanation

The kinetic energy \(K\) of a body is related to its momentum \(p\) by the formula \(K = \dfrac{p^2}{2m}\), where \(m\) is the mass of the body. Let the initial momentum be \(p_1 = p\) and the initial kinetic energy be \(K_1 = \dfrac{p^2}{2m}\). The momentum is increased to…