AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A \(2 \mathrm{~kg}\) ball moving at \(24 \mathrm{~ms}^{-1}\) undergoes inelastic head-on collision with a \(4 \mathrm{~kg}\) ball moving in the opposite direction at \(48 \mathrm{~ms}^{-1}\). If the coefficient of restitution is \(2 / 3\), their velocities in \(\mathrm{ms}^{-1}\) after impact are
- A \(-56,-8\)
- B \(-28,-4\)
- C \(-14,-2\)
- D \(-7,-1\)
Answer & Solution
Correct Answer
(A) \(-56,-8\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \begin{aligned} & v_1^{\prime}= {\left[\frac{m_1-e m_2}{m_1+m_2}\right] v_1-\left[\frac{(1+e) m_2}{m_1+m_2}\right] v_2 } \\ &=\left[\frac{2-\left(\frac{2}{3}\right) 4}{2+4}\right] 24-\left[\frac{\left(1+\frac{2}{3}\right) 4}{2+4}\right] 48 \\ &=-56 \mathrm{~m}…
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