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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A body of mass 2 kg collides head on with another body of mass 4 kg . If the relative velocities of the bodies before and after collision are \(10 \mathrm{~ms}^{-1}\) and \(4 . \mathrm{ms}^{-1}\) respectively, the loss of kinetic energy of the system due to the collision is

  1. A 28 J
  2. B 56 J
  3. C 84 J
  4. D 42 J
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Answer & Solution

Correct Answer

(B) 56 J

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Detailed explanation

\(\mathrm{m}_1=2 \mathrm{~kg}, \mathrm{~m}_2=4 \mathrm{~kg}, \mathrm{u}_1-\mathrm{u}_2=10 \mathrm{~ms}^{-1}, \mathrm{v}_2-\mathrm{v}_1=4 \mathrm{~ms}^{-1}\) \(e=\frac{v_2-v_1}{u_1-u_2}=\frac{4}{10}=\frac{2}{5}\) \(\therefore\) Loss of kinetic energy,…
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