AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A body moving along a straight line collides another body of same mass moving in the same direction with half of the velocity of the first body. If the coefficient of restitution between the two bodies is 0.5, then the ratio of the velocities of the two bodies after collision is (treat the collision as one dimensional)
- A \(2: 5\)
- B \(2: 3\)
- C \(5: 7\)
- D \(3: 7\)
Answer & Solution
Correct Answer
(C) \(5: 7\)
Step-by-step Solution
Detailed explanation
\(m u_1 + m u_2 = m v_1 + m v_2 \Rightarrow u_1 + \frac{1}{2}u_1 = v_1 + v_2 \Rightarrow v_1 + v_2 = \frac{3}{2}u_1\) \(e = \frac{v_2 - v_1}{u_1 - u_2} \Rightarrow 0.5 = \frac{v_2 - v_1}{u_1 - \frac{1}{2}u_1} \Rightarrow v_2 - v_1 = 0.5 \times \frac{1}{2}u_1 = \frac{1}{4}u_1\)…
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