Question

A planet is rotating around a star in a circular orbit with time period T. the kinetic energy of the planet will be proportional to?​

Answer 1

Answer:

Time=distance /speed

Answer 2

Explanation:

ANSWER

According to the question, the gravitational force between the planet and the star is F∝

R

5/2

1

∴F=

R

5/2

GMm

Where M and M be masses of star and planet respectively.

For motion of planet in circular orbit,

mRω

2

=

R

5/2

GMm

mR(

T

2π

)

2

=

R

5/2

GMm

(∴ω=

T

2π

)

T

2

4π

2

=

R

7/2

GM

⇒T

2

=

GM

4π

2

R

7/2

T

2

∝R

7/2

or T

2

∝R

7/4