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

If kinetic energy of a body is increased by \(300 \%\), then percentage change in momentum will be

  1. A \(100 \%\)
  2. B \(150 \%\)
  3. C \(265 \%\)
  4. D \(73.2 \%\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(100 \%\)

Step-by-step Solution

Detailed explanation

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