Work Energy And Power Question 126
Question: A space craft of mass ‘M’ and moving with velocity ‘v’ suddenly breaks in two pieces of same mass m. After the explosion one of the mass ’m’ becomes stationary. What is the velocity of the other part of craft [DCE 2003]
Options:
A) $ \frac{Mv}{M-m} $
B) $ v $
C) $ \frac{Mv}{m} $
D) $ \frac{M-m}{m}v $
Show Answer
Answer:
Correct Answer: A
Solution:
By the principle of conservation of linear momentum, $ Mv=mv_1+mv_2 $
therefore $ Mv=0+(M-m)v_2 $
therefore $ v_2=\frac{Mv}{M-m} $
