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Gravitational Force Calculator: Instantly Find the Force Between Two Masses

Q: 6. What are the units of gravitational force?

The unit of gravitational force is the Newton (N).

Q: 10. Is g always 9.8 m/s²?

No, g (acceleration due to gravity) is approximately 9.8 m/s² at sea level on Earth. It varies slightly depending on location (altitude, latitude) and is significantly different on other celestial bodies.

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How to Calculate Gravitational Force with the Universal Law Formula and Examples

Gravitational Force Calculator – Free Online Tool with Formula & Steps

Gravitational Force Calculator

Find the gravitational force (in Newtons) between two objects using their masses and distance.

What is Gravitational Force Calculator?

A Gravitational Force Calculator is a free online tool that helps you instantly calculate the gravitational force of attraction between any two objects based on their masses and the distance separating them. Based on Newton's universal law of gravitation, this physics calculator is especially useful for students, teachers, and anyone curious about the invisible pull that massive objects exert on one another—from people and Earth to planets, stars, and satellites.

Formula or Logic Behind Gravitational Force Calculator

The calculator uses Newton's Universal Law of Gravitation:

F = G × (m₁ × m₂) / r²
Where:
F = gravitational force (Newtons, N)
G = universal gravitational constant (6.674 × 10⁻¹¹ N·m²/kg²)
m₁, m₂ = masses of the objects (kg)
r = distance between their centers (meters)

For objects close to Earth's surface, weight can also be found with F = m × g, where g ≈ 9.8 m/s².

Sample Gravitational Force Calculations

Mass 1 (kg)	Mass 2 (kg)	Distance (m)	Force (N)
70 (person)	5.972 × 10²⁴ (Earth)	6.371 × 10⁶	≈ 686
1,000	1,000	1	6.674 × 10^-5
5	10,000	5	1.3348 × 10^-6
5.97×10²⁴ (Earth)	7.35×10²² (Moon)	3.84×10⁸	1.98 × 10²⁰

Steps to Use the Gravitational Force Calculator

Enter Mass 1 (kg), Mass 2 (kg), and the Distance between them (m) in the corresponding input fields
Click on the 'Calculate' button
Get the gravitational force result instantly, along with the detailed calculation

Why Use Vedantu’s Gravitational Force Calculator?

Vedantu's Gravitational Force Calculator makes physics problems easy by giving quick, step-by-step solutions based on standard formulas. The tool is mobile-friendly, student-tested, and ideal for CBSE, ICSE, JEE, NEET, and Olympiad preparation. No need for manual formulas or complex calculations—just input, click, and learn instantly!

Real-life Applications of Gravitational Force Calculator

This calculator is useful in many scenarios:

Finding your weight (the force of gravity) on Earth or any planet
Analyzing satellite orbits and space missions
Solving school/competitive exam questions in physics
Estimating the force between astronomical objects like Earth & Moon
Understanding why objects fall or how tides occur
Comparing gravitational pull on different planets

It is especially helpful for students, teachers, researchers, and those curious about astronomy or classical mechanics.

Common Gravitational Force FAQs & Quick Answers

Question	Answer
Is gravitational force always attractive?	Yes, gravity only attracts — it never repels.
What is the value of G?	6.674 × 10^-11 N·m²/kg²
Is g = 9.8 or 10?	Standard value is 9.8 m/s² (rounded to 10 for estimation).
What is the unit of gravitational force?	Newton (N)
Formula for gravitational force between objects?	F = G × (m₁ × m₂) / r²

Explore related math tools and physics concepts at Vedantu: Prime Numbers, Factors of 100, Area of a Circle, Algebra Topics, Gravitation vs Gravity.

FAQs on Gravitational Force Calculator: Instantly Find the Force Between Two Masses

1. What is gravitational force?

Gravitational force is the attractive force between any two objects with mass. It's always present, though it's only noticeable when at least one of the objects is very massive, like a planet. The force's strength depends on both masses and the distance between them.

2. What is the formula for gravitational force?

The most common formula is Newton's Law of Universal Gravitation: F = G * (m1 * m2) / r², where F is the gravitational force, G is the gravitational constant (6.674 × 10⁻¹¹ N m²/kg²), m1 and m2 are the masses of the two objects, and r is the distance between their centers.

3. What is the value of G (the gravitational constant)?

The value of the gravitational constant, G, is approximately 6.674 × 10⁻¹¹ N m²/kg². This constant is crucial for calculating the gravitational force between any two objects in the universe.

4. What is the difference between g and G?

G is the universal gravitational constant, a fundamental constant in physics. g, on the other hand, represents the acceleration due to gravity, which is the acceleration experienced by an object due to the gravitational pull of a larger body (usually Earth). On Earth, g is approximately 9.8 m/s².

5. How do I calculate the gravitational force between the Earth and a person?

You can use Newton's Law of Universal Gravitation. You'll need the mass of the Earth (approximately 5.972 × 10²⁴ kg), the mass of the person, and the distance between the person's center of mass and the Earth's center (approximately the Earth's radius). However, for simpler calculations near the Earth's surface, you can use F = m * g, where m is the person's mass and g is approximately 9.8 m/s².

6. What are the units of gravitational force?

The unit of gravitational force is the Newton (N).

7. How does distance affect gravitational force?

Gravitational force is inversely proportional to the square of the distance between the two objects. This means if you double the distance, the gravitational force becomes four times weaker. If you triple the distance, the force becomes nine times weaker, and so on.

8. What is the gravitational force between two 1 kg masses 1 meter apart?

Using the formula F = G * (m1 * m2) / r², we get: F = (6.674 × 10⁻¹¹ N m²/kg²) * (1 kg * 1 kg) / (1 m)² ≈ 6.674 × 10⁻¹¹ N. This illustrates that the gravitational force is very weak unless the masses are extremely large.

9. What are some real-world applications of gravitational force?

Gravitational force is fundamental to many aspects of our universe:

Keeping planets in orbit around stars
Determining the weight of objects on Earth
Influencing the tides
Enabling space travel calculations
Understanding the formation of galaxies.

10. Is g always 9.8 m/s²?

No, g (acceleration due to gravity) is approximately 9.8 m/s² at sea level on Earth. It varies slightly depending on location (altitude, latitude) and is significantly different on other celestial bodies.

11. What is the difference between gravity and gravitation?

Gravitation is the universal phenomenon of attraction between any two objects possessing mass. Gravity refers to the specific gravitational force exerted by a celestial body, such as Earth, on objects near its surface. Essentially, gravity is a specific instance of gravitation.