# Law of universal gravitation (am I doing it wrong)

1. Jan 6, 2015

### Thegiver431

1. The problem statement, all variables and given/known data
What is the gravitational force between Earth and the sun if the Earth has a mass of 5.98 x 10^24 and the sun has a mass of 1.99 x 10^30. The r is (1.5 x 10^11)^2

2. Relevant equations
F=(Gm1m2)/r^2

G= 6.67 x 10^-11 N m^2 /kg^2 ( note that this is a constant)

3. The attempt at a solution
I simply plugged in, and gathered the like terms and put them together accordingly so i got [( 6.67)(5.98)(1.99)]/(1.5)^2=35.277 ... Then you would move the decimal to get 3.52

Next i got all the exponent so( i canceled out the ten) -11+30+24-22= 21

so I got 3.52 x 10^21 N but the answer key said it is 3.52 x 10^22 N

What did I miss or is it a typo?

Last edited: Jan 6, 2015
2. Jan 6, 2015

### Bystander

You really want to take another look at this number.

3. Jan 6, 2015

### Thegiver431

I meant 1.5 x 10 ^11 (sorry)

4. Jan 6, 2015

### haruspex

And what did you do with the factor of 10 you removed in the process?