Gravitation Question 311
Question: Two stars of mass $ [{m_{1}} and m_{2}] $ are parts of a binary system. The radii of their orbits are $ [r_{1} and r_{2}] $ respectively, measured from the C.M. of the system. The magnitude of gravitational force $ [m_{1}] $ exerts on $ [m_{2}] $ is
Options:
A) $ [\frac{m_{1}m_{2}G}{{{\left( r_{1}+r_{2} \right)}^{2}}}] $
B) $ [\frac{m_{1}G}{{{\left( r_{1}+r_{2} \right)}^{2}}}] $
C) $ [\frac{m_{2}G}{{{\left( r_{1}+r_{2} \right)}^{2}}}] $
D) $ [\frac{\left( m_{1}+m_{2} \right)}{{{\left( r_{1}+r_{2} \right)}^{2}}}] $
Show Answer
Answer:
Correct Answer: A
Solution:
- $ [F=\frac{Gm_{1}m_{2}}{r^{2}}=\frac{Gm_{1}m_{2}}{{{\left( r_{1}+r_{2} \right)}^{2}}}] $ .
