JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of \(5\) times its mass? (Assume the collision to be head-on elastic collision)
- A \(50\)
- B \(66.6\)
- C \(55.5\)
- D \(33.3\)
Answer & Solution
Correct Answer
(C) \(55.5\)
Step-by-step Solution
Detailed explanation
Velocity after collision \(V_{2}=\frac{\left(m_{2}-m_{1}\right) u_{2}+2 m_{1} u_{1}}{m_{1}+m_{2}}\) \(V_{2}=\frac{(5 m-m) 0+2 m \cdot u_{0}}{m+5 m}=\frac{u_{0}}{3}\) \(\% \Delta K E=\frac{\frac{1}{2} 5 m\left(\frac{u_{0}}{3}\right)^{2}-0}{\frac{1}{2} m u_{0}^{2}} \times 100\)…
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