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(A) According to Newton's law of universal gravitation,the gravitational force $F$ between two point masses $m_1$ and $m_2$ separated by a distance $r

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$\frac{m_1 m_2 G}{(r_1 + r_2)^2}$

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(A) According to Newton's law of universal gravitation,the gravitational force $F$ between two point masses $m_1$ and $m_2$ separated by a distance $r$ is given by $F = \frac{G m_1 m_2}{r^2}$.In a binary star system,the two stars revolve around their common centre of mass $(CM)$.The distance between the two stars is the sum of their orbital radii measured from the centre of mass,which is $r = r_1 + r_2$.Substituting this distance into the formula,we get the magnitude of the gravitational force as $F = \frac{G m_1 m_2}{(r_1 + r_2)^2}$.

Two stars of masses $m_1$ and $m_2$ are parts of a binary star system. The radii of their orbits are $r_1$ and $r_2$ respectively,measured from the centre of mass of the system. The magnitude of the gravitational force that $m_1$ exerts on $m_2$ is

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