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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A steel ball of radius \(2 \mathrm{~cm}\) is at rest on a frictionless surface. Another steel ball of radius \(4 \mathrm{~cm}\) moving with velocity of \(81 \mathrm{cms}^{-1}\) collides elastically with the ball which is at rest. After collision the ball with radius of \(2 \mathrm{~cm}\) moves with speed of

  1. A \(144 \mathrm{~cm} \mathrm{~s}^{-1}\)
  2. B \(72 \mathrm{~cm} \mathrm{~s}^{-1}\)
  3. C \(216 \mathrm{~cm} \mathrm{~s}^{-1}\)
  4. D \(36 \mathrm{~cm} \mathrm{~s}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(144 \mathrm{~cm} \mathrm{~s}^{-1}\)

Step-by-step Solution

Detailed explanation

Radius of first steel ball, \[ r_1=2 \mathrm{~cm}=2 \times 10^{-2} \mathrm{~m} \] Radius of second steel ball, \[ r_2=4 \mathrm{~cm}=4 \times 10^{-2} \mathrm{~m} \] \(\therefore\) Mass of first steel ball,…
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