If the distance between two objects is increased to four times the original distance, how will that increase change the force of attraction between the objects?

Question

anonymous · Answer

*repost* 

$$ F = G \frac{m_1 m_2}{r^2}$$ the new radius is two times the old radius so $r_n=4r $

$$F=G\frac{m_1m_2}{16r^2} = \frac{1}{16}G \frac{m_1m_2}{r^2} = \frac{1}{16}F$$

works exactly the same.

anonymous · Answer

incorrect

anonymous · Answer

what is the answer then?, I am pretty sure that the algebra is correct.

anonymous · Answer

besides that I didn't change my statement up there, the new radius is four times the original distance.

anonymous · Answer

i chose that before and it was wrong

anonymous · Answer

where does radius come from?

anonymous · Answer

this is physics/chemistry

anonymous · Answer

Hmm I will invite and ask @TuringTest then, maybe he notices what I did wrong

anonymous · Answer

@TuringTest is offline

anonymous · Answer

well all I did is substitution, hence I believe it is correct and it makes sense too, you know the original formula for newtons universal law of gravitation right?

anonymous · Answer

It is easy to see, if you increase the radius between two objects, the gravitation attraction matters less, so the earth attracts the moon, but earths gravity means nothing for titan.

anonymous · Answer

http://www.chacha.com/question/what-happens-to-the-gravitational-force-between-2-objects-if-their-masses-do-not-change-but-the-distance-between-them-becomes-4-times-as-much

anonymous · Answer

okay im going to go with that, i hope its not wrong!!

anonymous · Answer

are you 100% sure

anonymous · Answer

http://answers.yahoo.com/question/index?qid=20120113085636AA5bXLr

anonymous · Answer

you better read up on gravitation and how it works yourself, I am not sure what test you are attending or which program you use,

anonymous · Answer

maybe my friend @mukushla might want to check my algebra as well

anonymous · Answer

Its not algebra

anonymous · Answer

yes I know what you mean, but the laws of physics are constrained by the laws of mathematics.

anonymous · Answer

just because it's a physical formula, doesn't mean that you can't apply the laws of algebra/calculus/differential