(g*m1*m2)/d^2

[person]

can someone give me the proof for this?

[Cervantes]

Just to be picky, there's a big difference between g and G.

Hurray! A chance to get used to OpenOffice.org Math.

[Boo-chan]

Well, I hate to be nitpicky but it is hard to prove something that doesn't form a relationship.

(g*m1*m2)/d^2 can't be proven because there is nothing to prove.

However, if you set it equal to the force gravity exerts on two masses that are a distance d apart then you can prove it. Or you could set it equal to the force exerted by two charged objects that are a distance of d apart and it would still work.(Note: the letters still make sense, g=generic constant and m1&m2=measure of the charge on the particles)

Its actually kind of weird when you first realize that gravitational force equation and the eletrical force equation are almost identical... until you figure out what causes the similarity.

[beard0]

Boo-chan wrote:

Its actually kind of weird when you first realize that gravitational force equation and the eletrical force equation are almost identical... until you figure out what causes the similarity.

Funny, but it's actually their difference that has many scientist tearing their hair out daily. Gravity is weirdly different in that like types attract, whereas with electrical or magnetic, like types repel and unlike types attract. To the best of my knowledge we have not yet created enough anti-matter to accurately say what the direction is of the force between anti-matter and anti-matter, nor between anti-matter and matter.

[Boo-chan]

I don't believe any experiments on the gravitational effects on anti-matter have been completed in the lab, however this suggests that the effects would be the same as for normal matter. Plus if you think of gravity along the conceptual lines of string theory then this result is logical.

My original comment on the similarity of the two equations was more along the lines of how the magnitude of forces is affected by the distance between objects. The differences between the two forces(gravitational and electrical) is caused by the vectors of the resultant forces, and since the two equations(as stated) were only measuring the magnitude of the force they are very similar. Its only when you start worrying about vectors that things get complicated. But thats true for almost everything in physics.

[beard0]

Thanks for the article. Love the sig too.