Gravitation Question 358
Question: Three equal masses (each m) are placed at the comers of an equilateral triangle of side ‘a? Then the escape velocity of an object from the circumcentre P of triangle is:
Options:
A) $ [\sqrt{\frac{2\sqrt{3}Gm}{a}}] $
B) $ [\sqrt{\frac{\sqrt{3}Gm}{a}}] $
C) $ [\sqrt{\frac{6\sqrt{3}Gm}{a}}] $
D) $ [\sqrt{\frac{3\sqrt{3}Gm}{a}}] $
Show Answer
Answer:
Correct Answer: C
Solution:
- $ [\frac{-Gmm’}{r}\times 3+\frac{1}{2}m’v_{e}^{2}=0] $ or $ [\frac{-3Gm}{(\frac{a}{2}/\cos {{30}^{o}})}+\frac{1}{2}v_{e}^{2}=0v_{e}=\sqrt{\frac{6\sqrt{3}Gm}{a}}] $
