Work Energy And Power Question 89

Question: A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is [MP PET 1995]

Options:

A) $ \frac{2uM}{m} $

B) $ \frac{2um}{M} $

C) $ \frac{2u}{1+\frac{m}{M}} $

D) $ \frac{2u}{1+\frac{M}{m}} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ v_2=( \frac{m_2-m_1}{m_1+m_2} )\ u_2+\frac{2m_1u_1}{m_1+m_2} $

$ =\frac{2Mu}{M+m}=\frac{2u}{1+\frac{m}{M}} $



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