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Because as you get farther away from Earth's center, the gravitational force between you and Earth weakens.
To understand the gravitational force experienced by an object (such as a space craft) due to another object (such as the earth), we may look to Newton's Universal Law of Gravitation.
F = G*(m1 * m2) / r2
Where:
F = Force of Gravity between object 1 and object 2
G = Universal Gravitational Constant (was found with a lot of experiments)
m1 = The mass of object 1
m2 = The mass of object 2
r2 = The squared distance between object 1 and 2 (spacecraft to centre of earth - centre is used as an average, in actual fact you'd have to get in to differential equations to correctly account for the non-uniform distribution and changing of mass of Earth)
If you actually work it out, you'll find that the force due to gravity you'll experience on the top of a mountain versus sea-level will be marginally less. Like, irrelevantly.
What? You want me to explain more? Sigh. Okay.
mass of earth (m1) is approx. 5.9742 × 1024 Kg
mass of a person (m2), let's assume it to be 80 Kg
G = 6.674×10−11 N m2 Kg−2
r1 = radius of earth (sea level) 6378.1 Km
r2 = radius of earth + height of Mt Everest 6378.1+8.85 = 6387Km
F1 (gravitation force experienced @ sea level) = [6.674×10−11 N m2 Kg−2 * 5.9742 × 1024 Kg * 80 Kg] / (6378100m)2
F2 (gravitation force experienced @ top of Everest) = [6.674×10−11 N m2 Kg−2 * 5.9742 × 1024 Kg * 80 Kg] / (6387000m)2
delta(F1,F2) = (1/(63870002)) - (1/(63781002)) [factored out the common stuff]
delta(F1,F2) = 4.079377*10-13 - 4.068*10-13
delta(F1,F2) = 1.1377 × 10-15
For contrast, the number of cells in the human body is considered to be of the order of 10 trillion cells (1012).
So, the difference is the same difference as taking 100 (102) human bodies, counting all the cells (sea level) and then adding one more cell (top of everest).
That's "engineering" speak for, there's no realistic difference.
Now, if you start computing the actual net gravitational force you experience, you'd need to dive in to far more interesting math. You'd need to consider other planetary bodies, other mountains, the mountain your own and so on. That'd nevertheless be remarkably pointless as everything's moving and the net force can be very very closely approximated with Newton's Law of Gravitation, without getting in to math that makes physics professors salivate and people with jobs weep.
This then leaves the question of why things in space float? Thing is, they don't at all. They only seem to. The force of gravity between earth and that spaceship I mentioned is going to be VERY similar to the force experienced between the two at sea level. The key is that as the spaceship is in free fall towards the planet, it also moves (VERY fast) tangent to the planet's surface. It works out that the tangent ("straight") distance traveled by the spaceship is largely cancelled out by how far it falls towards the planet. Not a great explanation, but I'm right.
Phew, I think I can rest easy, for now.
What else can I help you with?
What is the air pressure at the top of the mountain compared to the bottom of the mountain?
The air at the top of the mountain is going to be much less dense than the air at the bottom of the mountain because it is affected less by gravity.
Why would you weigh less on a high mountain peak than you would at sea level?
The weight of an object is the force of gravity on the object's mass. At the top of a mountain, you are slightly farther from the center of the earth, and so the earth's gravity is very slightly weaker. Thus, you weigh a tiny, tiny bit less at the top of the mountain than at sea level.
Why do you think you would weight less on a high mountain peak than you would at sea level?
You would weigh slightly less on a high mountain peak than at sea level due to the decrease in gravitational force at higher altitudes. This is because the force of gravity weakens with distance from the Earth's center, which is measured from the mountain peak to the center, causing a slight reduction in weight.
Why does the weight of a stone is less at the top of a mountain than at its bottom?
The weight of a stone at the top of a mountain is less than at its bottom because the gravitational force decreases with distance from the center of the Earth. Therefore, at higher altitudes, the force of gravity pulling the stone towards the center of the Earth is slightly weaker, resulting in a lower weight reading on a scale.
The specific gravity of a product?
The specific gravity of a product is the ratio of its density to the density of water. It provides information about how dense the product is compared to water, which has a specific gravity of 1. Products with a specific gravity greater than 1 are denser than water, while those with a specific gravity less than 1 are less dense than water.
Why it is always colder on a mountain than at sealevel?
Temperatures decrease with altitude due to a decrease in air pressure. As you ascend a mountain, the air becomes less dense, leading to a reduction in the amount of heat that can be retained. This results in colder temperatures at higher elevations compared to sea level.
Why would you weigh less on a high mountain than at sea level?
The weight of an object is the force of gravity on the object's mass. At the top of a mountain, you are slightly farther from the center of the earth, and so the earth's gravity is very slightly weaker. Thus, you weigh a tiny, tiny bit less at the top of the mountain than at sea level.
Would you weigh less on a high mountain peak than you would at sea level?
The weight of an object is the force of gravity on the object's mass. At the top of a mountain, you are slightly farther from the center of the earth, and so the earth's gravity is very slightly weaker. Thus, you weigh a tiny, tiny bit less at the top of the mountain than at sea level.
Why is gravity weak on continent?
On a continent, you are usually higher than sea level. Imagine you are on a mountain: you are farther from the center of the earth, so the force of gravity will be less. Also, if the rocks under a continent are less dense, this would make gravity weaker.
Does the moon or Mars have less gravity?
The moon has less mass than does Mars and therefore has less gravity at its surface.
Is the Moon's gravity less than the earth's gravity?
Yes, it is significantly less.
Why is there less air pressure on top of a mountain than near an ocean?
Because - the further away from the Earth's surface you go - the less gravity there is to hold the air molecules in place.
Why is there less gravity on moon?
The moon has less mass than Earth. Gravity is proportional to mass, so there is less gravity on the moon.
Why does Mercury and Mars have less gravity than Earth?
Why does Mercury and Mars have less gravity than Earth because they both have less mass than does the Earth.
Is there more or less gravity on Mercury than Earth?
There is much less gravity on Mercury.
Would the force of of gravity on ganymede be more or less than the gravity on the moon?
less
Why the gravity on moon is less than gravity on earth?
Gravity is the attraction between masses. And since the moon has less mass than earth, the gravity is weaker there. Over a distance gravity is weaker.
