What will be the acceleration due to gravity at a planet whose mass is eight times the mass of the earth and whose radius is twice that of the earth? (g on earth is 10ms−2)
Acceleration due to gravity = GMR2
For the given planet,
M = 8Mearth
R = 2Rearth
Therefore , acceleration due to gravity on the planet = G(8Mearth)(2Rearth)2
= 2(GMearthR2earth)
= 2g
= 20 ms−2