Physics

Problem

Which of the following expressions correctly gives the mass

M

of a planet in terms of the orbital speed

v

of a satellite moving in a circular orbit of radius

r

around it (take

G

as the gravitational constant)? a)

M=\dfrac{v^{2} r}{2G}

M=\dfrac{2 v^{2} r}{G}

M=\dfrac{v^{2} r}{G}

M=\dfrac{\pi v^{2} r}{G}