Attraction Force Calculator

Formula

The formula to calculate the attraction force (AF) is:

\[ AF = G \cdot \frac{m1 \cdot m2}{d^2} \]

Where:

\( AF \) is the attraction force (N)
\( G \) is the gravitational constant of attraction (\( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \))
\( m1 \) is the mass of the first object (kg)
\( m2 \) is the mass of the second object (kg)
\( d \) is the distance between the objects (m)

What is an Attraction Force?

An attraction force, commonly called the gravitational force, is a fundamental force of nature that arises from the gravity between two objects of mass. It is the force that attracts two bodies towards each other, and its magnitude is proportional to the product of their masses and inversely proportional to the square of the distance between them.

Example Calculation

Let's assume the following values:

Mass of the first object (\( m1 \)): 5 kg
Mass of the second object (\( m2 \)): 10 kg
Distance between the objects (\( d \)): 2 meters

Step 1: Calculate the product of the masses and the gravitational constant:

\[ G \cdot m1 \cdot m2 = 6.67 \times 10^{-11} \times 5 \times 10 = 3.335 \times 10^{-9} \]

Step 2: Calculate the square of the distance:

\[ d^2 = 2^2 = 4 \]

Step 3: Divide the result from Step 1 by the result from Step 2:

\[ AF = \frac{3.335 \times 10^{-9}}{4} = 8.3375 \times 10^{-10} \, \text{N} \]

The attraction force (AF) is approximately \( 8.3375 \times 10^{-10} \, \text{N} \).