physics 12

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If the Earth has a mass of 5.98*10^24 kg and orbits the Sun at a radius of 1.43*10^11 meters. Find the mass of the Sun.

Thank you.

• physics 12 -

Gravity force = centripetal force

G M m/R^2 = m V^2/R

V = 2 pi R/P

P = 1 year ( in seconds) is the period of the earth's orbit = 3.154*10^7 s

G = the universal constant of gravity
(Look it up)

m (the Earth's mass) cancels out. Solve for the solar mass, M.

M = R*V^2/G = 4*pi^2*R^3/(G*P^2)

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