What is the equation for calculating how high I can jump on other planets?

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In summary, the factors that affect how high you can jump on a planet include its mass and radius. Other factors such as wind resistance, rotation, and latitude are not significant. To calculate the height you can jump on another planet, a formula can be used to convert the values to a fraction of Earth's values. However, this may not be applicable for all planets, as some may have extreme conditions that make it unsuitable for athletic activities.
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BooRadley
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This is not a homework question. I'm just interested. My friends and I have been discussing this problem. I want to know an equation to calculate how high I can jump on another planet as a function of the planet's radius, mass, wind resistance, rotation, latitude and height they can jump on Earth. Anyone care to give this a try? Also, is there anything else I should factor in?
 
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BooRadley said:
This is not a homework question. I'm just interested. My friends and I have been discussing this problem. I want to know an equation to calculate how high I can jump on another planet as a function of the planet's radius, mass, wind resistance, rotation, latitude and height they can jump on Earth. Anyone care to give this a try? Also, is there anything else I should factor in?
The only relevant factors are mass and radius of the planet. Wind, rotation and latitude are not significant factors.

What you could do is produce a formula that will give you a fraction of Earth's values. That way, you can convert any values you want.

eg. the value for Jupiter would be (depending on what height you want to call its radius) 0.4. So a jump you could make here would be multiplied by .4 to get it on Jupiter. A standing jump of 3 feet on Earth would translate to a jump on Jupiter of 1.2 feet. A pole vault of 18 feet would translate to 7.2 feet.
 
  • #3
Unfortunately, the 'surface' of Jupiter (top 25% or so) is liquid Hydrogen so it would be a bit 'soggy' for athletics - or even for standing up! If you go down to it's more dense middle part then it it is too damned hot and it's molten, apparently.
 

FAQ: What is the equation for calculating how high I can jump on other planets?

What is the difference in jumping on other planets compared to Earth?

Jumping on other planets is affected by the planet's gravitational pull, which is determined by its size and mass. This means that the strength of gravity on a planet will affect how high you can jump. For example, on a planet with stronger gravity, you will not be able to jump as high as you can on Earth.

Can humans jump higher on other planets?

It depends on the planet. Humans are able to jump higher on planets with weaker gravity, such as Mars and the Moon, because there is less force pulling them towards the ground. However, on planets with stronger gravity, such as Jupiter, humans would not be able to jump as high.

How does the mass of a planet affect jumping?

The mass of a planet affects jumping because it determines the strength of the planet's gravitational pull. The greater the mass of a planet, the stronger its gravitational pull will be, making it more difficult to jump high.

Is it possible to jump on all planets?

No, it is not possible to jump on all planets. Some planets, such as gas giants like Jupiter and Saturn, do not have a solid surface to jump on. Others, like Mercury, have a very weak gravitational pull, making it difficult for humans to jump at all.

How does the distance from the Sun affect jumping on other planets?

The distance from the Sun does not directly affect jumping on other planets. However, it does impact the planet's size and mass, which in turn affects the strength of its gravitational pull. Planets closer to the Sun are usually smaller and have weaker gravity, while planets farther from the Sun are usually larger and have stronger gravity.

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