Question

v.
Let the period of revolution of a planet at a distance 2R from a star be T. Prove that ll ll was
at a distance of SR from the star, its period of revolution will be 81.





Determine the force of gravitation letween the earth and a 60 kg boy who is standing on the
surface of earth. (R = 6400 km, M = 6 x 1024 kg, G = 6.67 x 10 Nm /kg)​

Answer 1

Answer:

Explanation:

According to Kepler's law ,

T² is directly propotional to a³

Here T denotes the time period and a denotes the radius of revolution

Here when the radius of revolution is R then time period is T means

T² = kR³ [ here k is proportionality constant ]----(1)

Again,

Let the time period is T' when the radius of revolution is 2R

T'² = k(2R)³ = k.8R³ -----(2)

Dividing equation (1) by (2)

T²/T'² = kR³/k8R³ = 1/8

T'² = 8T²square root both sides, we get

T' = √8 T

Hence, proved.