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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

Two balls each of mass 250 g moving in opposite directions each with a speed \(16 \mathrm{~m} \mathrm{~s}^{-1}\) collide and rebound with the same speeds. The impulse imparted to one ball due to the other is

  1. A \(4 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\)
  2. B \(16 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\)
  3. C \(8 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\)
  4. D \(2 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(8 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\)

Step-by-step Solution

Detailed explanation

\(m = 250 \mathrm{~g} = 0.25 \mathrm{~kg}\) \(J = m(v - u)\) \(J = 0.25 \mathrm{~kg} (-16 \mathrm{~m} \mathrm{~s}^{-1} - 16 \mathrm{~m} \mathrm{~s}^{-1})\) \(J = 0.25 \mathrm{~kg} (-32 \mathrm{~m} \mathrm{~s}^{-1})\) \(J = -8 \mathrm{~kg} \mathrm{~m} \mathrm{~s}^{-1}\) Magnitude…