Question

8. Suppose a planet exists whose mass and radius are both double than those of the earth. Calculate the acceleration
due to gravity at its surface.
(Ans. 4.9 m/s)​

Answer 1

Answer:

we know that gravity on Earth(g)=GMe/r^2

let the gravity of the planet =gm

g=GMe/r^2=9.8 on earth

on the planet

gm=G 2M/(2r)^2(mass and radius of planet is twice that of earth)

gm=2GM/4r^2( squaring 2r)

gm=GM/2r^2

Hope it helps