# Gravitational Force Calculator

The force that attracts an object toward the center of the earth is called gravity.

The **force **that **attracts all the masses in the universe**, especially the **earth's mass for bodies near its surface** is called **gravitational force**.

**Table of Contents**

## Formula of Gravitational Force Calculator

To find the area of a circle, you can use the formula listed below:

\[F = G\left( {\frac{{{m_1}{m_2}}}{{{r^2}}}} \right)\]

**Where,**

F = gravitational force

G = gravitational constant has a constant value (6.674×10^{-11} N·m²/kg²).

m_{1} = mass of object 1

m_{2} = mass of object 2

r = distance between two objects

**Note:**

To calculate more about force, you can use our Force Calculator.

### Example

Calculate the gravitational force acting on a body at the earth's surface if the mass (m_{1}) of the body is 1500kg mass, (m_{2}) of the earth is 5.972 × 10^{24} kg, the radius (r) of the earth is 6.38 x 10^{6} m and gravitational constant (G) 6.67 x 10^{-11}

**Given data**

m_{1}= 1500kg

m_{2}= 5.972 × 10^{24}kg

r = 6.38 x 10^{6}m

G = 6.67 x 10^{-11}

**To Find**

force of gravity = F = ?

**Solution**

as we know the gravitational force is given as

\(F = G\left( {\frac{{{m_1}{m_2}}}{{{r^2}}}} \right)\)

Putting values in the formula:

\(F = \left( {6.67{\rm{ }} \times {\rm{ }}{{10}^{ - 11}}} \right)\left( {\frac{{\left( {1500} \right)\left( {5.972{\rm{ }} \times {\rm{ }}{{10}^{24}}} \right)}}{{{{\left( {6.38{\rm{ }} \times {\rm{ }}{{10}^6}} \right)}^2}}}} \right)\)

\(F = \left( {6.67{\rm{ }} \times {\rm{ }}{{10}^{ - 11}}} \right)\left( {\frac{{\left( {{\rm{8,958 }} \times {\rm{ }}{{10}^{24}}} \right)}}{{\left( {6.38{\rm{ }} \times {\rm{ }}{{10}^6}} \right)\left( {6.38{\rm{ }} \times {\rm{ }}{{10}^6}} \right)}}} \right)\)

\(F = \left( {6.67{\rm{ }} \times {\rm{ }}{{10}^{ - 11}}} \right)\left( {\frac{{{\rm{8,958 }} \times {\rm{ }}{{10}^{24}}}}{{40.8321 \times {\rm{ }}{{10}^{12}}}}} \right)\)

\(F = \left( {6.67{\rm{ }} \times {\rm{ }}{{10}^{ - 11}}} \right)\left( {219.386{\rm{ }} \times {\rm{ }}{{10}^{12}}} \right)\)

\(F = 14633N\)

So, we have the area of a circle of 1017.36 m^{2}

### How to use the Gravitational Force Calculator?

The steps to use the gravitational force calculator are as follows:

**Step 1: **Enter the value of the first mass in the first required input.

**Step 2: **Enter the value of the second mass in the second required input.

**Step 3: **Enter the value of the distance in the third required input.

**Step 4: **The calculator will automatically display an answer on the screen.

### Calculator use

To find the gravitational force on a body, you can use our gravitational force calculator. Just enter the values in the required input fields, and the gravitational force will be shown to you in the output field.