The suns mass is 330,000 times earths mass. If you made a model of the sun with a mass that was 1,000 kilograms, what would earths mass be?

Question

The suns maa is 330,000 times earths mass. If you made a model of the sun with a mass that was 1,000 kilograms what would earths mass be?

Answer 1

M = mass of sun

m = mass of earth

M = 330,000 m

m = M / 330,000

 

Use the same relationship for the models.

 

m' = mass of earth model

M' = mass of sun model = 1,000 kg

 

m' = M'/ 330,000 = (1,000 / 330,000) kg ≅ 3.030 x 10^-3 kg = 3.030 g

Answer 2

If the sun's mass is 330,00 times earth's mass then we can make the equation (S = sun and E = earth): S= 330,000E

We have been given the sun's mass so let us put that in the equation:    S=1,000    so 1,000= 330,000E

 

then we use algebra to solve the equation for what E equals.

 

since 330,000 is multiplied by E we need to divide to move it over so we can get E on its own. The new equation looks like:

1,000/330,000 = E

 

so your answer is earth's mass is 1,000 over 330,000kg. Or .00303kg if you use a calculator to solve the division problem.