# Formula of gravitational force?

F = G m1 m2 / R2

G = the universal gravitational constant = 6.673 x 10-11 cubic meter per kilogram-second

F = the force between 2 masses

m1 = the mass of one of the masses

m2 = the mass of the other mass

R = the distance between the centers of mass of the two masses

### What is the relation connecting acceleration and gravitational force?

The same as the relation between acceleration and any other force. Force = (mass) x (acceleration) If the force happens to be gravitational, then the acceleration is down, and the formula tells you the size of the acceleration. If the acceleration is down and there are no rocket engines strapped to the object, then it's a pretty safe bet that the force is gravitational, and the formula tells you the size of the force.

### What happens to the gravitational force when the distance is halved?

Since the gravitational force is inversely proportional to r2 , where r is the distance between two separate objects, the gravitational force is increased by 1/(r/2)2. The Gravitational force formula for object of mass m1 and mass m2 is: F = G m1 m2/r2, where F is the gravitational force, G is the universal gravitational constant, and as mentioned r is the distance between the two objects.

### How does the earths radius affect the gravitational force on a object at its surface?

The Earth and the object exert a gravitational force on each other, but only the Earth's is big enough to measure. So, the formula for gravitational force include the distance from one body's surface to its center and the same for the other body. The length of the radius is directly proportional to the body's gravitational force.

### Why is the sun the only gravitational force?

The sun is not the only gravitational force but it is the strongest, the earth has a gravitational force, the moon has a gravitational force etc. Any two objects have a gravitational force between them that is proportional to their masses and inversely proportional to the square of the distance between them.