distinguish between gravitational force and gravitational acceleration
Answers
The gravitational force is a force that attracts any two objects with mass. We call the gravitational force attractive because it always tries to pull masses together, it never pushes them apart. In fact, every object, including you, is pulling on every other object in the entire universe!
- F = force
- G = gravitational constant
- = mass of object 1
- = mass of object 2
- r = distance between centers of the masses ,
In physics, gravitational acceleration is the free fall acceleration of an object in vacuum — without any drag. This is the steady gain in speed caused exclusively by the force of gravitational attraction. At given GPS coordinates on the Earth's surface and a given altitude, all bodies accelerate in vacuum at the same rate. This equality is true regardless of the masses or compositions of the bodies.
- g = gravitational acceleration
- G = gravitational constant
- M = mass of the field source
- r = distance between the two point-like masses
- \hat{r} = unit vector directed from the field source to the smaller sample mass
Difference:
They are different concepts related by Newton's second law of motion. Gravitational acceleration is the rate of change of velocity of an object due to gravitation, while the gravitational force is this acceleration per unit mass.