Fg Calculator – Loan calculator

Gravitational Force (Fg) Calculator

Mass of Object 1 (kg): Mass of Object 2 (kg): Distance Between Centers (m):

function calculateFg() { var mass1Input = document.getElementById("mass1").value; var mass2Input = document.getElementById("mass2").value; var distanceInput = document.getElementById("distance").value; var resultDiv = document.getElementById("resultFg"); var m1 = parseFloat(mass1Input); var m2 = parseFloat(mass2Input); var r = parseFloat(distanceInput); // Universal Gravitational Constant (G) in N(m/kg)^2 var G = 6.674e-11; if (isNaN(m1) || isNaN(m2) || isNaN(r) || m1 <= 0 || m2 <= 0 || r <= 0) { resultDiv.innerHTML = "Please enter valid, positive numbers for all fields."; return; } var fg = G * (m1 * m2) / (r * r); resultDiv.innerHTML = "Gravitational Force (Fg): " + fg.toExponential(4) + " Newtons (N)"; }

Understanding the Gravitational Force (Fg) Calculator

The Gravitational Force (Fg) Calculator helps you determine the attractive force between any two objects with mass, based on Newton's Law of Universal Gravitation. This fundamental law of physics explains why objects fall to the ground, why planets orbit the sun, and why galaxies hold together.

What is Gravitational Force?

Gravitational force is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward one another. It is one of the four fundamental interactions of nature, alongside the strong force, the weak force, and the electromagnetic force.

Newton's Law of Universal Gravitation

Sir Isaac Newton formulated the law of universal gravitation, which states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for this is:

Fg = G * (m1 * m2) / r²

Fg is the gravitational force between the two objects, measured in Newtons (N).
G is the Universal Gravitational Constant, approximately 6.674 × 10^-11 N(m/kg)². This constant was determined experimentally and is a tiny number, reflecting the weakness of gravity compared to other fundamental forces.
m1 is the mass of the first object, measured in kilograms (kg).
m2 is the mass of the second object, measured in kilograms (kg).
r is the distance between the centers of the two objects, measured in meters (m).

How to Use the Calculator

Our Gravitational Force Calculator simplifies this complex calculation for you. Simply input the following values:

Mass of Object 1 (kg): Enter the mass of the first object in kilograms.
Mass of Object 2 (kg): Enter the mass of the second object in kilograms.
Distance Between Centers (m): Input the distance separating the centers of the two objects in meters.

Click "Calculate Gravitational Force," and the calculator will instantly display the resulting force in Newtons.

Examples of Gravitational Force

Let's look at a couple of examples to understand the scale of gravitational force:

Two People Standing 1 Meter Apart:
- Mass of Object 1 (m1) = 70 kg
- Mass of Object 2 (m2) = 80 kg
- Distance (r) = 1 m
- Using the calculator, the gravitational force would be approximately 3.7374 x 10^-7 N. This is an extremely small force, which is why we don't feel a gravitational pull from people around us.
Earth and the Moon:
- Mass of Earth (m1) ≈ 5.972 × 10²⁴ kg
- Mass of Moon (m2) ≈ 7.342 × 10²² kg
- Average Distance (r) ≈ 3.844 × 10⁸ m
- The gravitational force between them is approximately 1.98 × 10²⁰ N. This immense force is what keeps the Moon in orbit around the Earth.

As you can see, gravitational force becomes significant only when at least one of the masses is very large, like a planet or a star, or when the distance between objects is extremely small (though this is less common for macroscopic objects).