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# Gravitational Force Calculator Online and Formula – Evincism

## 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.
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