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How did they help Newton to arrive at the inverse square law of gravity?
The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. (law of Harmonies). Facts like planets move on ellipses will continuously accelerate helped newton to from his law of gravitation.
How did Newton find the value of g?
In SI units, its value is approximately 6.674×10−11 m3⋅kg−1⋅s−2. The modern notation of Newton’s law involving G was introduced in the 1890s by C. V. Boys….Gravitational constant.
| Values of G | Units |
|---|---|
| 6.67430(15)×10−8 | dyne cm2⋅g–2 |
| 4.30091(25)×10−3 | pc⋅M⊙–1⋅(km/s)2 |
What are the factors affecting the value of g?
The factors influencing the value of g are the earth’s shape, altitude, and depth under the earth’s surface. The earth is not spherical. It is slightly straight or flat at the poles and swelling in the tropics.
How did Newton use Kepler’s laws to support his theory of gravitation?
Thus, Kepler’s laws and Newton’s laws taken together imply that the force that holds the planets in their orbits by continuously changing the planet’s velocity so that it follows an elliptical path is (1) directed toward the Sun from the planet, (2) is proportional to the product of masses for the Sun and planet, and ( …
When did Newton calculate gravity?
It is a part of classical mechanics and was formulated in Newton’s work Philosophiæ Naturalis Principia Mathematica (“the Principia”), first published on 5 July 1687.
How does altitude affect g value?
The gravitational acceleration decreases with altitude, as shown by the solid line in Figure 1 (left). g is equal to 9.5 m/s2 at 100 km altitude, which is 9% larger than 8.7 m/s2. In GITM, it is easy to force gravity to be a constant value.
How does value of g vary on the earth What are the factors responsible for this?
The factors affecting the value of g are the shape of the earth, altitude and depth bleow the earth’s surface. (1) The earth is not perfectly spherical. (2) As teh height (h) above the earth,s surface increases, the value of g decreases. it varies as 1(R+h)2 where R is radius of the earth.
How did Newton expand on Kepler’s laws?
If Kepler’s laws define the motion of the planets, Newton’s laws define motion. Thinking on Kepler’s laws, Newton realized that all motion, whether it was the orbit of the Moon around the Earth or an apple falling from a tree, followed the same basic principles.
How did Newton help Kepler?
Explanation: Kepler derived his laws of planetary motion from the vast amounts of data collected by Tycho Brahe. When applied to the planets and the Sun, Newton’s law of universal gravitation accurately predicts the motion of the planets.
What does the value of g depend on?
The value of g is independent of the mass of the object and only dependent upon location – the planet the object is on and the distance from the center of that planet.
https://www.youtube.com/watch?v=kSaPCSR5jCY