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Gravitational Force Calculator helps to find force of gravity using Newton’s Law of gravity. Newton’s Law of Gravity states that two particles attract each other with forces. This principle is directly proportional to the product of their masses which is divided by the square of the distance between the particles. In short, when two bodies attract each other with equal and opposite forces it is said to be Newton’s Law of gravity. Newton’s Law of Gravity is denoted by the symbol “F”. The SI unit of Newton’s Law of Gravity is Newton Meter (N).

Newton's Law of Gravity Calculator

Table of Contents:

Gravitational Force Equation / Formula

**Gravitational Force :**

F = Gm_{1}m_{2}/ r^{2}

**Mass of Object 1 :**

m1 = Fr^{2} /Gm_{2}

**Mass of Object 2 :**

m2 = Fr^{2}/ Gm_{1}

**Distance between the Objects :**

r = √(Gm_{1} m_{2}/F)

**Where,**

G = Universal Gravitational Constant = 6.6726 x 10-^{11}N-m^{2}/kg^{2}

m_{1} =Mass of Object 1

m_{2} =Mass of Object 2

r = Distance Between the Objects.

Newton’s Law of Gravity states that every point mass attracts every single other point mass by a force pointing along the line interesting both points. This advanced online Newton’s Law of Gravity Calculator is used to calculate and find the gravitational force between two objects when mass and distance between the objects are known.

**Example:**

Calculate the Newton’s Law Gravity for the given details of objects.

Mass of Object 1(m_{1}) = 5 kg

Mass of Object 2(m_{2}) = 10 kg

Distance between the objects (r) = 15 m

**Solution:**

**Apply Formula:**

F = Gm_{1}m_{2}/ r^{2}

F = 6.6726 x 10-^{11}N-m^{2}/kg^{2} *5*10/15^{2}

F = 1.48E -11 N

**Gravitational Force (F) = 1.48E -11 N**

**what is the magnitude of the gravitational force between two 1-kg bodies that are 1 m apart?**

Applying Formula:

F = Gm_{1}m_{2}/ r^{2}

6.67 x 10^-11

**Magnitude of the gravitational force = 0.0000000000667 N**