Sentences with phrase «square of the distance»

A spherical gravitational source has an external gravitational field that falls off precisely as the inverse square of the distance from the sphere's center.
This is certain, that it must proceed from a cause that penetrates to the very centres of the sun and planets, without suffering the least diminution of its force; that operates not according to the quantity of the surfaces of the particles upon which it acts (as mechanical causes use to do), but according to the quantity of the solid matter which they contain, and propagates its virtue on all sides to immense distances, decreasing always as the inverse square of the distances....
«If we find objects whose brightness changes with the inverse square of distance, we won't say, «Oh, no!
[Geek's Note: Adding up the cumulative tension described by Hooke's Law gives you a measure of the «potential energy» stored in the spring, which is proportional not to the distance the spring is pulled, but to the square of that distance.
Whenever a second material object is considered, then relative to an inertial frame of reference the two material objects attract each other with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance separating them.
The strength of both, for instance, is inversely proportional to the square of the distance between two bodies, and both have an infinite range.
No one even knows if Newton's laws (which state that the pull of gravity varies in proportion to the square of the distance between two objects) still hold at that level.
Newton deduced that gravity falls off with the square of distance.
Solar illumination gets dimmer with the square of distance from the sun, and then any light reflected off a distant body likewise dims with the square of its distance from Earth.
Above a certain acceleration, called a0, objects move according to the conventional form of gravity, whose effects weaken as two bodies move further apart in proportion to the square of distance.
The scientists relied on the inverse - square law of physics, which states that the intensity of light drops off according to the square of the distance between the light source and its target.
Following this law, light traveling from the sun to a distant spot — Pluto, for instance — diminishes with the square of distance; light reflected back from Pluto to the sun then gets diminished by the same factor.
The strength of the pull exerted by a given object declines in proportion to the square of the distance from it, Newton told us, while Einstein explained gravity as the result of massive objects curving space - time.
The strength of gravity diminishes as the square of the distance between gravitating masses.
The brightness of a star is inversely proportional to the square of the distance to that star.
In Newton's and Einstein's theories, the gravitational attraction of a massive object drops in proportion to the square of the distance away from it.
There are some special circumstances where sound might diminish by something less than the inverse - square of the distance, over a flat surface (such as water) and where there is a temperature inversion, for example, but still it always diminishes with distance.
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