Estimate Mass of Sun Using G, Distance and Speed

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In summary, the distance between the Sun and Earth is 1.5x10^11m and the Earth's orbital speed is 30km/s. Using this information and the value of G (6.67x10^-11Nm^2kg^-2), the estimated mass of the Sun is 2.0x10^30 kilograms (to 1 significant figure). However, there was an error in the original calculation and it was attributed to a faulty calculator.
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1. The distance between the Sun and Earth is 1.5x10^11m and the Earth's orbital speed is 30km/s. Use this information and the value of G to estimate the mass of the Sun

could somebody check this for me please. thank you

2. G=6.67x10^-11Nm^2kg^-2

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  • #2
Your working is correct, you numerical result is wrong. Your final answer should be in the order of 1030
 
  • #3
it is too.
It should be 2.0x10^30(1s.f.)?
 
  • #4
That is the answer you should get. Now look at your expression, and see if you really did calculate what you wrote down. (Hint: you didn't.)
 
  • #5
I blame the calculator. Who's with me?

thanks everyone for this.:smile:
 

1. What is the equation for estimating the mass of the sun using G, distance, and speed?

The equation is M = (v^2 * r) / G, where M is the mass of the sun, v is the orbital speed of a planet, r is the distance between the planet and the sun, and G is the gravitational constant.

2. How accurate is this method of estimating the mass of the sun?

This method is highly accurate, with an error margin of less than 0.1%. It is widely used by astronomers and scientists to estimate the mass of celestial bodies.

3. What is the value of G in this equation?

The value of G is approximately 6.674 x 10^-11 m^3/kg*s^2. This is a universal constant that represents the strength of gravitational force between two objects with mass.

4. Can this equation be used to estimate the mass of other celestial bodies?

Yes, this equation can be used to estimate the mass of any celestial body as long as the distance and speed of a planet orbiting around it are known.

5. How was this method of estimating the mass of the sun developed?

This method was developed using Newton's laws of motion and universal gravitation. It was first used by scientists and astronomers in the 18th century to accurately calculate the mass of the sun.

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