AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A ball \(A\) of mass \(m\) moving along positive \(x\)-direction with kinetic energy \(K\) and momentum \(p\) undergoes elastic head on collision with a stationary ball \(B\) of mass \(M\) after collision the ball \(A\) moves along negative \(x\)-direction with kinetic energy \(\frac{K}{9}\), final momentum of \(B\) is
- A \(p\)
- B \(\frac{p}{3}\)
- C \(\frac{4 p}{3}\)
- D \(4 p\)
Answer & Solution
Correct Answer
(C) \(\frac{4 p}{3}\)
Step-by-step Solution
Detailed explanation
Kinetic energy \(\begin{gathered}K=\frac{1}{2} m u_1^2 \\ u_1=\sqrt{\frac{2 K}{m}} \\ \frac{1}{2} m v_1^2=\frac{K}{9} \\ v_1^2=\frac{2 K}{9 m} \\ \text { Velocity, } v_1=\sqrt{\frac{2 K}{9 m}}\end{gathered}\) Kinetic energy \(K=\frac{p^2}{2 m}\) From conservation of the momentum…
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