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Equation for gravity

Updated: 8/11/2023
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12y ago

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Newton's Law of Gravitation states that the Force of Gravity between two objects is equal to the Gravitational Constant times product of the masses of the two objects, divided by the square of the distance between them.

The Gravitational Constant is around 0.00000000006 (or 6 x 10 to the power of minus 11), and its symbol is G

m1 is the mass of one object

m2 is the mass of the other object

d is the distance between them

F is the Force between the two objects

so:

F = (G x m1 x m2) / (d x d)

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Newton's law of universal gravitation is generally what is used to calculate the force of gravity between two objects. Note that this equation does not work when dealing with the force of gravity in very massive, dense objects (eg. black holes, neutron stars); for those situations you must go to Einstein's theory of general relativity.

from Wikipedia:

F = G*((m1*m2)/r2)

  • F is the magnitude of the gravitational force between the two point masses,
  • G is the gravitational constant, 6.674×10−11 N m2 kg−2
  • m1 is the mass of the first point mass,
  • m2 is the mass of the second point mass, and
  • r is the distance between the two point masses.
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12y ago
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14y ago

Universal law of Gravitational force stated

F = GM1m2/R2

M1 = Mass of the first object, in this case, Earth

m2= Our mass

R = Distance between center of mass M1 to our mass m2, in this case, Earth's radius

G = Gravitational constant = 6.673×10−11 N m2 kg−2

Since the Earth mass and radius is constant (unless we fly off very high from the ground), we sum up the term GM1/R2 and called it Gravity

and so F = mg

You may try to fill in the equation of any planet with known mass and radius and find their gravity.

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11y ago

-- The acceleration of gravity due to the presence of any glob of mass is

G M/R2 .'G' is the universal gravitational constant.

'M' is the mass of the glob we're interested in.

'R' is the distance from the glob's center of mass.

-- Also important is the direction of the acceleration. It's

always directly toward the glob's center of mass.

-- The strength of the force that will attract any other mass to this one is

(this acceleration) multiplied by (the mass of the other mass).

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