Question

Question 3.
The value of acceleration due to gravity on a planet ‘A’ is ‘g’ What will be the value of acceleration due to gravity on another planet B whose mass is same as that of the planet ‘A’ but its radius is double the radius of planet ‘A’ ?

Answer 1

Explanation:

G will remain same because it is the universal gravitational constant . It's value remains same everywhere.

g=GM/r2 g' = G2M/(2r)2  (because mass and the radius is twice than the earth)

= ( GM/r2 ) * 2 /4= ( GM/r2 ) * 1 /2 'g'

Acceleration due to gravity will become half(1/2) of the original.

Answer 2

Answer:

let the r of planet A be =x

mass=p

the r of planet B be =2x

the acceleration due to gravity is 1/4 th of g

as acceleration due to gravity is inversely propotional to radius²