The Weight on Other Planets Calculator is tool to calculate the weight of any object on the other plant. You just need to enter the weight on the Earth and the program will output the weight on other planets.
Weight on Celestial Bodies Calculator
| Celestial Body | Weight (in kg) |
|---|---|
| Moon | - |
| Mars | - |
| Jupiter | - |
Basis of Calculation
The basis for calculating your weight on other celestial bodies is rooted in Isaac Newton’s Universal Law of Gravitation, which states that:
Where:
- F is the force of gravity between two objects.
- G is the gravitational constant, a universal constant that is approximately equal to 6.67430 × 10-11 m3 / (kg * s2).
- m1 and m2 are the masses of the two objects (in this case, your mass and the mass of the celestial body).
- r is the distance between the centers of the two objects.
Mass of Celestial Bodies
Weight on Other Planets Calculator Formula
To calculate your weight on another celestial body, you need to compare the gravitational force acting on you on that body to the gravitational force acting on you on Earth. The formula for your weight W is:
Where:
- W is your weight.
- m is your mass (which remains constant).
- g is the acceleration due to gravity.
The acceleration due to gravity g varies depending on the celestial body. It is calculated using Newton’s law of gravitation:
Where:
- G is the gravitational constant.
- M is the mass of the celestial body.
- r is the distance from the center of the celestial body to your position.
By plugging in the values for G, M, and r for a specific celestial body, you can calculate the acceleration due to gravity g on that body. Then, you can use this value to find your weight W on that celestial body.
In summary, the basis for these calculations is Newton’s law of universal gravitation, which relates the gravitational force between two objects to their masses and the distance between them. This law allows us to determine the acceleration due to gravity on different celestial bodies and, consequently, the weight of an object on those bodies.
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