Work Energy And Power Question 277

Question: Mass $ m_1 $ strikes m which is at rest. The ratio of masses for which they will collide again (collision between ball and wall are elastic, coefficient of restitution between $ {m_1} and m_2 $ is e and all the surfaces are smooth.)

Options:

A) $ <\frac{e}{2+e} $

B) $ >\frac{2e}{2+e} $

C) $ \ge \frac{e}{2( 2+e )} $

D) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ {m_1}v=-m_1v_1+m_2v_2 $

$ e=\frac{2v_1}{v} $ for limiting condition $ \frac{m_1}{m_2}<\frac{e}{2+e} $



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