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TS EAMCET · Physics · Center of Mass Momentum and Collision

A ball of mass 1.2 kg moving with a velocity of \(12 \mathrm{~ms}^{-1}\) makes one dimensional collision with another stationary ball of mass 1.2 kg . If the coefficient of restitution is \(\frac{1}{\sqrt{2}}\), then the ratio of the total kinetic energy of the balls after collision and the initial kinetic energy is

  1. A 3:4
  2. B 1:1
  3. C 2:3
  4. D \(3: \sqrt{2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) 3:4

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{m}=1.2 \mathrm{~kg}, \mathrm{u}_1=12 \mathrm{~ms}^{-1}, \mathrm{e}=\frac{1}{\sqrt{2}} \\ & \text { By momentum conservation, } \end{aligned}\) By momentum conservation,…
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