Question

A pendulum of mass \frac{m}{2} is released from given situation. Find speed of another pendulum after collision. $(\mathrm{e}=1)$

• A. \sqrt{g l}
• B. \frac{2}{3} \sqrt{g l}
• C. \sqrt{\frac{2}{3} g l}
• D. \sqrt{\frac{3}{2} g l}

Answer 1

Answer: (B)

\frac{2}{3} \sqrt{g l}

Answer 2

Using conservation of energy, the velocity of the first pendulum just before the collision is calculated. In a perfectly elastic collision, the final velocity of the second pendulum can be derived using conservation of momentum and energy principles, leading to the result of \frac{2}{3} of the initial velocity.