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Gravitational Force Calculator

The calculator will determine the gravitational force, local gravity, masses, or distance between two objects based on the provided values.

I want to calculate:

Mass 2 (M)

g ▾

Mass 1 (m)

g ▾

Speed (R)

nm ▾

Gravitational Constant (G) =

x10^-11N-m²/kg²

Related

Free Gravity Calculator

The free online gravity calculator helps you calculate the gravitational force between two objects. It uses the most accurate international gravity equations to determine the attraction between objects of certain masses.

What Is Gravity?

“The force with which the Earth attracts objects or bodies towards itself is called the force of gravity.”

Universal Law of Gravity

Proposed by Newton in the late 16th century, the law states:

“Each object in the universe attracts every other object with a force directly proportional to the mass of both objects and inversely proportional to the square of the distance between them.”

Gravitational Force Formula

Newton's equation for gravitational force is:

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

F = Gravitational force
m₁ = Mass of the first object
m₂ = Mass of the second object
G = Gravitational constant, G = 6.67 × 10⁻¹¹ N·m²/kg²
r = Distance between the objects

Local Gravity

Local gravity can vary depending on location on Earth. It can be calculated using the International Gravity Formula (IGF):

$$ IGF = 9.780327 \left(1 + 0.0053024 \sin^2 \phi - 0.0000058 \sin^2 2\phi \right) $$

Example Calculation

Example #1: Find the gravitational force between two objects with masses 106 kg and 98 kg separated by a distance of 103 m.

Solution:

$$ F = \frac{6.67 × 10^{-11} × 106 × 98}{103^2} $$

$$ F = 6.53 × 10^{-11} \, \text{N} $$

How Gravity Calculator Works

Input:

Select the parameter you want to calculate.
Enter the values of the required parameters.
Select the units for each parameter.
Click Calculate.

Output:

Gravitational force between objects
Mass of objects
Distance between objects
Local gravity at a location

FAQs

What causes gravity?

Gravity arises from the curvature of spacetime. According to Einstein, the shape of spacetime determines the gravitational force, which can be calculated with our gravitational force calculator.

Is there gravity on the Sun?

Yes, the Sun has gravity, which keeps the Solar System in orbit. Its surface gravity is about 274 m/s².

How much is 1g?

1g is normal gravity near Earth's surface, approximately 32.2 ft/s² or 9.81 m/s².

What if there is no gravity?

Without gravity, matter would collide randomly, Earth would stop rotating, the atmosphere would drift into space, and life as we know it would be impossible.

Why does gravity exist in space?

Gravity exists everywhere in the universe, keeping planets, stars, and galaxies in orbit.

Which planet has the most gravity?

Jupiter has the highest gravity in our Solar System. A 1 kg object on Earth would weigh about 3.5 kg on Jupiter.

Where on Earth is there almost no gravity?

In California, the Mystery Spot has a gravitational anomaly with nearly zero apparent gravity.

Does zero gravity exist?

No. Gravity is present everywhere, keeping celestial bodies in orbit.

Can gravity bend light?

Yes, gravity bends light, a phenomenon known as gravitational lensing.

Conclusion

Gravity is fundamental for life on Earth and the functioning of the universe. Our free gravitational force calculator helps you understand and compute gravitational forces with ease.

References

Wikipedia: Gravity, Scientific Revolution, Newton's Theory, Einstein Field Equations
Khan Academy: Newton's Law of Gravity, Gravitational Field Strength
Lumen Learning: Orbits and Gravity

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