TS EAMCET · Physics · Center of Mass Momentum and Collision
A block of mass \(4 m\) travelling at a velocity \(v_1\) in \(x\)-direction on a frictionless horizontal plane makes a head-on collision with another block of mass \(2 m\) travelling in opposite direction with a velocity \(v_2\). After collision, both the blocks travel as a single block along \(x\)-direction with a final velocity \(5 v_2\). The ratio of velocities \(\frac{v_1}{v_2}\) is
- A 2
- B 3
- C 5
- D 8
Answer & Solution
Correct Answer
(D) 8
Step-by-step Solution
Detailed explanation
Momentum before collision, \( p_1=4 m v_1-2 m v_2 \) Momentum after collision, \( p_2=6 m\left(-5 v_2\right)=-30 m v_2 \) Conservation of momentum gives,…
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