Law of universal gravitation (am I doing it wrong)

  • #1

Homework Statement


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[/B]


Homework Equations


F=(Gm1m2)/r^2

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


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[/B]

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:

Answers and Replies

  • #2
Bystander
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r is (1.5 x 10)^2
You really want to take another look at this number.
 
  • #3
You really want to take another look at this number.
I meant 1.5 x 10 ^11 (sorry)
 
  • #4
haruspex
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Then you would move the decimal to get 3.52
And what did you do with the factor of 10 you removed in the process?
 

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