What equations represents the law of universal gravitation?

Answer 1

F=G x ((m m')/r²)

Where G is the universal constant of gravitation;

m is mass of the first body;

m' is the mass of the second body;

r is the distance between the two bodies.

Answer 2

Newtons law of universal gravitation

Every point mass in the universe attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Answer 3

Newton's Law of Universal Gravitation states the attraction between two objects is inversely proportional to the distance between them. The formula then is F(grav) is proportional to (m1 + m2)/d^2, where d is the distance between them.

Answer 4

The equation of Newton's Law of Universal Gravitation is

Potential Energy V = - mGM/r = - mu/r.

This law accomplishes a lot as mv2= m(rw)2 = mr2w2 = mu/r. This gives Keplers's Laws, r3w2 = u.

Newton's Law of Gravity should be modified by adding the vector energy cP reflecting the momentum energy of the mass m.

W = -mGM/r + cmV

This is a Quaternion Energy that reflects the complete energy including the scalar/potential energy and the vector energy. The vector energy cP=cmV is the mysterious "Dark Energy", Astronomers are looking for.

Edit: Without going into this in detail, you have not written the basic equation in the usual way, and that's all the question was really seeking.

The way I write it is:

F= G m1m2 /d2

Where F is the gravitational force, G is the gravitational constant , m1 and m2 are the two masses, and d2 is the square of the distance between the centres of the masses.

Answer 5

F(subscript G) = G(M*m)/R2(squared)

M = first mass

m = second mass

G = gravity constant = 6.67 E-11