Work Energy And Power Question 115
Question: A body at rest breaks up into 3 parts. If 2 parts having equal masses fly off perpendicularly each after with a velocity of 12m/s, then the velocity of the third part which has 3 times mass of each part is [UPSEAT 2001]
Options:
A) $ 4\sqrt{2}m/s $ at an angle of $ 45^{o} $ from each body
B) $ 24\sqrt{2}m/s $ at an angle of $ 135^{o} $ from each body
C) $ 6\sqrt{2}m/s $ at $ 135^{o} $ from each body
D) $ 4\sqrt{2}m/s $ at $ 135^{o} $ from each body
Show Answer
Answer:
Correct Answer: D
Solution:
The momentum of third part will be equal and opposite to the resultant of momentum of rest two equal parts let V is the velocity of third part.
By the conservation of linear momentum $ 3m\times V=m\times 12\sqrt{2} $
therefore $ V=4\sqrt{2}\ m/s $
