Calculating the Mass of the Sun Using Orbital Data and Gravitational Constant G

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To calculate the mass of the Sun using the Earth's orbital radius and period, the formula v = 2πr/T is utilized, where r is the radius of Earth's orbit (1.5 x 10^11 m) and T is the orbital period. The gravitational force acting on Earth can be expressed using Newton's law of gravitation, F = G(m1*m2)/r^2, where G is the gravitational constant (6.673 x 10^-11). By equating the gravitational force to the centripetal force (mv^2/r), the mass of the Sun can be derived. The speed of light is not directly needed for this calculation, as the focus should remain on gravitational forces. The final result should yield the mass of the Sun as approximately 1.98892 × 10^30 kilograms.
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a)calculate the mass of the sun from the radiuos of the Earth's orbit (1.5 x 10^11m), the Earth's period in its orbit, and the gravitational constant of G.

Sohere we are given the speedof light, 3x10^8, and G as 6.673x10^-11

so i get that v=2pi x r / T
and that r= ct

how do i continue from then on to get the mass of the sun that is
1.98892 × 10^30 kilograms
 
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how would i use 2pi * r /T = V
then r = ct?
 
zz help! pleasezz
 
What are we doing with the speed of light? Stick with summing the forces and you'll be ok.
 
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