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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A \(1 \mathrm{~kg}\) ball moving with a speed of \(6 \mathrm{~ms}^{-1}\) collides headon with a \(0.5 \mathrm{~kg}\) ball moving in the opposite direction with a speed of \(9 \mathrm{~ms}^{-1}\). If the coefficient of restitution is \(\frac{1}{3}\), then the energy lost in the collision is

  1. A \(303.4\ J\)
  2. B \(66.7\ J\)
  3. C \(33.3\ J\)
  4. D \(67.8\ J\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(33.3\ J\)

Step-by-step Solution

Detailed explanation

Using \(\Delta \mathrm{KE}=\frac{m_1 m_2}{2\left(m_1+m_2\right)}\left(1-e^2\right)\left(u_1+u_2\right)^2\) Given: \(m_1=1 \mathrm{~kg}\)…