Gravitation Question 345
Question: With what minimum speed should m be projected from point C in presence of two fixed masses M each at A and B as such that mass m should escape the gravitational attractionof A and B
Options:
A) $ [\sqrt{\frac{2GM}{R}}] $
B) $ [\sqrt{\frac{2\sqrt{2}GM}{R}}] $
C) $ [2\sqrt{\frac{GM}{R}}] $
D) $ [2\sqrt{2}\sqrt{\frac{GM}{R}}] $
Show Answer
Answer:
Correct Answer: B
Solution:
-
$ [\frac{1}{2} mv^2 _{\min }-\frac{GMm}{R\sqrt{2}}\times 2=0] $
$ [\Rightarrow {v _{min }}-\sqrt{\frac{2GM\sqrt{2}}{R2}}] $
