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

Two masses of \(1 g\) and \(9 g\) are moving with equal kinetic energy. The ratio of magnitude of their momentum is

  1. A 3:1
  2. B \(1: 3\)
  3. C \(1: 2\)
  4. D \(2: 1\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1: 3\)

Step-by-step Solution

Detailed explanation

The kinetic energy \(K\) of a body of mass \(m\) and momentum \(p\) is given by the relation \(K = \dfrac{p^2}{2m}\). Given that the two masses \(m_1 = 1 \text{ g}\) and \(m_2 = 9 \text{ g}\) have equal kinetic energies \(K_1 = K_2\), we have:…