## How to the Gravitational Force Calculator User Guide

Follow these steps to easily use the calculator:

### 1. Input Values

- Enter the mass of the first object in
**Mass 1**. - Enter the mass of the second object in
**Mass 2**. - Input the distance between the two objects in
**Distance**.

### 2. Select Initial Units

Choose units for **Mass 1**, **Mass 2**, and **Distance** from their respective dropdowns (kg, g, lbs for mass; m, cm, f for distance).

### 3. Convert Units (Optional)

You can convert units individually for Mass1, Mass2, and Distance, using the **Convert to** dropdown.

### 4. View Results

- The gravitational force between the objects will be displayed in the result section.
- The converted result will also be displayed, by default in Newtons (N) which can be changed/converted into dynes, or poundals (pdl).

### Important Notes

- Make sure to enter numeric values for mass and distance and not alphabets/strings.
- Units must be consistent. E.g., if using grams for `Mass 1`, use grams for `Mass 2`.
- If you enter invalid inputs or inconsistent units, an error message will appear.
- Non-Integer Values: Decimals are allowed.
- Scientific Notation: For exponents, for example, 10^12 you can type, 10e12, or for 10^-12 you can type 10e-12

## Understanding the Formula for Gravitational Force

The gravitational force between two objects is described by Newton’s Law of Universal Gravitation, it’s formula is:

$$

F = \frac{{G \times m_1 \times m_2}}{{r^2}}

$$

Where:

- \( F \) is the gravitational force between the two objects.
- \( G \) is the gravitational constant, \(6.67430 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\).
- \( m_1 \) and \( m_2 \) are the masses of the two objects.
- \( r \) is the distance between the centers of the two objects.

## Important Facts About the Newton’s Law of Gravitation

- The gravitational force is attractive, meaning it always pulls the two masses towards each other.
- The force is inversely proportional to the square of the distance, meaning as the distance between the two objects increases, the force decreases, and vice versa.
- The force is directly proportional to the product of the masses, meaning that increasing the mass of either object will increase the gravitational force between them.