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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A light body of momentum ' \(\mathrm{P}_{\mathrm{L}}\) ' and a heavy body of momentum ' \(\mathrm{P}_{\mathrm{H}}\) ', both have the same kinetic energy, then

  1. A \(\mathrm{P}_{\mathrm{L}} \gt \mathrm{P}_{\mathrm{H}}\)
  2. B \(\mathrm{P}_{\mathrm{H}} \gt \mathrm{P}_{\mathrm{L}}\)
  3. C \(P_L=P_H\)
  4. D Always \(\mathrm{P}_{\mathrm{H}}=2 \mathrm{P}_{\mathrm{L}}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{P}_{\mathrm{H}} \gt \mathrm{P}_{\mathrm{L}}\)

Step-by-step Solution

Detailed explanation

\mathrm{K}_{\mathrm{H}}=\mathrm{K}_{\mathrm{L}} \Rightarrow \frac{\mathrm{P}_{\mathrm{H}}^2}{2 \mathrm{~m}_{\mathrm{H}}}=\frac{\mathrm{P}_{\mathrm{L}}^2}{2 \mathrm{~m}_{\mathrm{L}}} \Rightarrow…

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