TS EAMCET · Physics · Center of Mass Momentum and Collision
The sphere \(A\) of mass \(m\) moving with a constant velocity hits another sphere \(B\) of mass \(2 m\) at rest. If the coefficient of restitution is 0.4 , the ratio of the velocities of the spheres \(A\) and \(B\) after collision is
- A \(3: 1\)
- B \(1: 5\)
- C \(1: 7\)
- D \(4: 1\)
Answer & Solution
Correct Answer
(C) \(1: 7\)
Step-by-step Solution
Detailed explanation
Using law of conservation of linear momentum \(\begin{aligned} & u m=m v_1+2 m v_2 \Rightarrow u=v_1+2 v_2 \qquad....\mathrm{(i)} \\ & e=\frac{2}{5}=\frac{v_2-v_1}{u-0} \Rightarrow u=2.5 v_2-2.5 v_1 \qquad....\mathrm{(ii)} \end{aligned}\) From eq (i) & (ii) \(0.5 v_2=3.5 v_1\)…
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