MHT CET · Physics · Center of Mass Momentum and Collision
The kinetic energy of a light body and a heavy body is same. Which one of them has greater momentum?
- A A body having high velocity
- B Heavy body
- C Light body
- D A body having large displacement
Answer & Solution
Correct Answer
(B) Heavy body
Step-by-step Solution
Detailed explanation
If \(\mathrm{k}\) is the kinetic energy and \(\mathrm{p}\) is the momentum, then \(\mathrm{k}=\frac{\mathrm{p}^2}{2 \mathrm{~m}} \therefore \mathrm{p}^2=2 \mathrm{mk}\)
If \(\mathrm{k}\) is constant, then \(\mathrm{p}^2 \propto \mathrm{m}\)
If \(\mathrm{k}\) is constant, then \(\mathrm{p}^2 \propto \mathrm{m}\)
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