Technical Calculator

Gravitational Force Calculator

The calculator will calculate the value of gravitational force, local gravity, masses, and distance among two objects.

x10-11N-m2/kg2

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Gravity?

“The pressure with which the Earth attracts objects or our bodies closer to itself is called force of gravity”  

Accepted law of Gravity:

The gravitational law changed into proposed via Newton within the late 16th century. This law states that:

“each and each object in this universe draws each other item with a positive amount of pressure this is without delay proportional to the mass of each objects and is inversely proportional to the square of the space amongst them”  

Gravitational pressure system:

The Newton’s force of gravity equation as under: $$ F = \frac{Gm_{1}m_{2}}{r^{2}} $$

Where:

  • F = gravitational force
  • \(m_{1}\) = Mass of first object or body
  • \(m_{1}\) = Mass of second object or body
  • G = gravitational constant whose value is as follows:

$$ G = 6.67 * 10^{11} Nm^{2}kg^{-2} $$

  • \(r^{2}\) = Distance among the objects

This free gravity calculator will take instants to compute all of the parameters involved within the above expression. So prevent wondering too much and begin calculating them with none hurdle while keeping the precision.

Local Gravity:

Worldwide pressure of Gravity formula(IGF):

$$ IGF = 9.780327 \left(1 + 0.0053024sin^{2}Φ – 0.0000058sin^{2}2Φ\right) $$

A way to Calculate Gravitational pressure?

let’s clear up an example to recognize the concept of gravity in right detail. stay targeted!

Example:

How to discover gravitational force?

Solution:

By using force of gravity formula, we have:

$$ F = \frac{Gm_{1}m_{2}}{r^{2}} $$

$$ F = \frac{6.67*10^{-11}*106*98}{\left(103\right)^{2}} $$

$$ F = \frac{6.67*10^{-11}*10388}{10609} $$

$$ F = \frac{69287.96*10^{-11}*10388}{10609} $$

$$ F = \frac{6.928.96*10^{-11}}{10609} $$

$$ F = 6.53 \times 10^{-11} \, \text{N} $$

For instance, you can also make use of the free gravitational force calculator to verify the results in a matter of seconds.

Gravitational Force Calculation
Object 1 Mass (kg) Object 2 Mass (kg) Distance (m) Gravitational Force (N)
1000 500 10 \( F = G \frac{m_1 m_2}{r^2} \)
2000 1000 20 \( F = G \frac{m_1 m_2}{r^2} \)
5000 2500 50 \( F = G \frac{m_1 m_2}{r^2} \)
Gravitational Force on Different Planets
Planet Mass (kg) Radius (m) Gravitational Acceleration (m/s²) Weight of 1 kg Object (N)
Earth \( 5.97 \times 10^{24} \) \( 6.371 \times 10^6 \) 9.81 \( W = mg = 9.81 \)
Mars \( 6.39 \times 10^{23} \) \( 3.389 \times 10^6 \) 3.71 \( W = mg = 3.71 \)
Moon \( 7.35 \times 10^{22} \) \( 1.737 \times 10^6 \) 1.62 \( W = mg = 1.62 \)

FAQ’S:

What reasons gravity?

Scientifically, the form of the spacetime is the predominant issue that gives rise to the force of gravity. This announcement changed into given through the well-known scientist Einstein and you can calculate this force through the usage of our on-line gravitational pressure calculator.

Is there gravity on the solar?

yes, of course! that is the gravity pressure because of which the sun is preserving the complete sun machine. And the gravitational pressure of the solar is set 274\(ms^{-2}\). you can also verify it by way of using our free gravity calculation in a rely of seconds.

How a great deal gravity is 1g?

1g is referred to as the everyday gravity. It is basically the acceleration this is caused in an item because of best gravitational pull close to the surface of the earth. Its fee is set 32.2\(ft*sec^{-2}\). in case you want to look at and apprehend the idea in detail, then it's time to tap the gravitational acceleration calculator.

What is the force.

There is an attractive force between two objects. One of the four fundamental forces of nature is responsible for keeping planets in the correct position, causing tides and making objects fall to the ground. The force is attractive because it pulls objects together, rather than pushing them apart. The force between two objects depends on their mass and distance between them. The greater the mass, the stronger the attraction. It is important in astronomy, engineering and physics. It is used by scientists to calculate planetary movements. Satellite motion and falling objects can be explained with understanding gravity.

What is the absolute constant.

The G is a universal value used to calculate force. The value is 1011 Nm2/kg2. The constant helps determine the attraction between two objects. It was first measured by Henry Cavendish in 1798. G is the same everywhere in the universe, unlike gravity, which varies by location. Scientists couldn't accurately predict planetary movements without this constant. It's important in physics, astronomy, and engineering because it allows precise calculations of interactions across vast distances in space. Understanding G can help in fields such as space exploration.

There is a question about why gravity varies on different planets.

It depends on the mass and the radius. Smaller or less dense planets have less gravity. Earth has a gravity of 9. 81 m/s2, while Mars has a gravity of 3. 81 m/s2. Jupiter has a gravity of 24. 89 m/s2, making it much stronger than Earth. The Moon has a weaker gravity because it is smaller. This variation affects a lot of things. Scientists calculate gravity differences to design space missions. Understanding the differences is important for space exploration and colonization.

Why do things fall at the same rate.

In a vacuum, all objects fall at the same rate because gravity makes them fall equally. The equation is to blame for this. Acceleration is the same for all objects.

Air resistance affects falling objects, causing lighter items to fall slower. In a vacuum chamber, a feather and hammer fall at the same speed. David Scott demonstrated this on the Moon when he dropped both objects and they landed at the same time. This principle helps scientists understand motion, free fall and planetary landings.

How does gravity keep the planets together.

The invisible force of gravity keeps planets close to the Sun. Without gravity, planets move in a straight line. The speed of the planets prevents them from crashing into the sun. The laws of motion describe how this balance creates elliptical circles. Earth's gravity holds the Moon in the air. Artificial satellites rely on gravity to keep their paths. Scientists use calculations to launch and position satellites, space probes and space stations accurately.