COMEDK · Physics · 7. Center of Mass Momentum and Collision
Two bodies of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) have equal momentum. Then, the ratio of their kinetic energies is
- A \(1: 3\)
- B \(1: 1\)
- C \(2: 1\)
- D \(3: 1\)
Answer & Solution
Correct Answer
(C) \(2: 1\)
Step-by-step Solution
Detailed explanation
Let \(m_{1}\) be the mass of 1 st body , \(m_{1}=1 \mathrm{~kg}\) \(m_{2}\) be the mass of \(2 \mathrm{nd}\) body, \(m_{2}=2 \mathrm{~kg}\) The relation, between kinetic energy and momentum is given by \[ K=\frac{1}{2} m v^{2}=\frac{p^{2}}{2 m} \] where, \(p\) is the momentum of…
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