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 \(2: 1\)
- B \(3: 1\)
- C \(1: 3\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(A) \(2: 1\)
Step-by-step Solution
Detailed explanation
Given, \(m_{1}=1 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}\) The kinetic energy is related to momentum of body by the formula given as \[ K=\frac{p^{2}}{2 m} \] \[ \frac{K_{1}}{K_{2}}=\frac{m_{2}}{m_{1}}=\frac{2}{1} \quad(\because \text { momentum is same) } \] the formula given as (…
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