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}} $
