Which of the following expressions correctly gives the mass of a planet in terms of…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

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}

(b)

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

(c)

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

(d)

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