Question

Hey brainy's, here is your question *_*

Answer the questions separately :')

1)State Kepler's three laws of planetary motion.

And

2)Prove that g= G(M/R²)

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Answer 1

1.

There are actually three, Kepler's laws that is, of planetary motion: 1) every planet's orbit is an ellipse with the Sun at a focus; 2) a line joining the Sun and a planet sweeps out equal areas in equal times; and 3) the square of a planet's orbital period is proportional to the cube of the semi-major axis of its ...

2.

This answer is in the above attachment.

Answer 2

Answer:

Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet

i.e T

2

=Kr

3

here K is constant.

If the masses of sun and planet are M and m respectively than as per Newton's law of gravitation force of attraction between them is

F=

r

2

GMm

, here G is gravitational constant The relation between G and K is described as

ANS :- GMK = 4π upon 2