Physics

Problem

Four different equations are proposed for the magnitude of gravitational force

F

between two point masses

m_1

and

m_2

separated by a distance

r

(with

G

as a constant). Which one is dimensionally consistent? a)

F = G\,\dfrac{m_1}{r^{2}}

F = G\,m_1 m_2 r^{2}

F = G\,\dfrac{m_1 m_2}{r^{2}}

F = G\,\dfrac{m_1 m_2}{(m_1+m_2)\,r^{2}}