Work Energy And Power Question 98

Question: A ball of mass 10 kg is moving with a velocity of 10 m/s. It strikes another ball of mass 5 kg which is moving in the same direction with a velocity of 4 m/s. If the collision is elastic, their velocities after the collision will be, respectively [CMEET Bihar 1995]

Options:

A) 6 m/s, 12 m/s

B) 12 m/s, 6 m/s

C) 12 m/s, 10 m/s

D) 12 m/s, 25 m/s

Show Answer

Answer:

Correct Answer: A

Solution:

$ v_1=( \frac{m_1-m_2}{m_1+m_2} )u_1+( \frac{2m_2}{m_1+m_2} )u_2 $

and $ v_2=( \frac{2m_1}{m_1+m_2} )u_1+( \frac{m_1-m_2}{m_1+m_2} )u_2 $

on putting the values $ v_1=6m/s $

and $ v_2=12m/s $



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