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).
m1 = mass of object 1
m2 = 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 (m1) of the body is 1500kg mass, (m2) of the earth is 5.972 × 1024 kg, the radius (r) of the earth is 6.38 x 106 m and gravitational constant (G) 6.67 x 10-11
Given data
m1 = 1500kg
m2 = 5.972 × 1024 kg
r = 6.38 x 106 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 m2
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.
