A star of mass 3.0 x 10^30 kg is moving in a circle of radius 1.0 x 10^12 metres, with a period of 100 years. This is due to the gravity of a second unseen object. What is the mass of this unseen object (in kg)?
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Answer:
Mass of the unseen object= 5.943x 10 ^28 kg
Explanation:
M = 4 π^2r^3 / ( T^2 G )
G = 6.6725x 10^( -11)
T = 100 years = 3,155,692,599 seconds
T^2 = 9.9584x10^18
T^2G = 66.448 x10 ^7 ———2(Equation 2)
r = 1x10^12 meter
4 π^2r^3 = 39.478x 10^ 36 .——1(Equation 1)
(1)/(2) => 5.943x 10 ^28 kg