Physics, asked by aksh4048, 1 year ago

Explain how kepler's laws of planetary motion relate to newton's law of universal gravitation

Answers

Answered by JoelR
4
Since the planets move on ellipses (Kepler's 1st Law), they are continually accelerating, as we have noted above. As we have also noted above, this implies a force acting continuously on the planets.
Because the planet-Sun line sweeps out equal areas in equal times (Kepler's 2nd Law), it is possible to show that the force must be directed toward the Sun from the planet.
From Kepler's 1st Law the orbit is an ellipse with the Sun at one focus; from Newton's laws it can be shown that this means that the magnitude of the force must vary as one over the square of the distance between the planet and the Sun.
Kepler's 3rd Law and Newton's 3rd Law imply that the force must be proportional to the product of the masses for the planet and the Sun.
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 (3) is inversely proportional to the square of the planet-Sun separation. This is precisely the form of the gravitational force, with the universal gravitational constant G as the constant of proportionality. Thus, Newton's laws of motion, with a gravitational force used in the 2nd Law, imply Kepler's Laws, and the planets obey the same laws of motion as objects on the surface of the Earth!
Answered by Anonymous
1

Answer:it's because the land  are mostly in solid so there is less molecule space and its structure is very hard so it can trap heat easily and the  loss quickly but as compared to the water the molecule are at very large distance so it cannot trap the heat more sufficiently and the molecule breaks in the form gas which required more time and get liberated out side but the temp is little high as compared to the inner layer of the water . so this process goes on continue which required more time

Explanation:

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