If the earth doubled in mass but stayed the same size, what would be the acceleration due to gravity at the surface? m/s2 The dimensions of the earth as we currently know it are: Mass = 5.98E24 kg, Radius = 6.38E6 m and the universal gravitational constant = 6.67e-11 nm2/kg2

1 answer

The acceleration due to gravity at the surface of the earth is calculated using the equation:

g = (G*M)/(R^2)

where G is the universal gravitational constant, M is the mass of the earth, and R is the radius of the earth.

If the mass of the earth doubled but the size stayed the same, the acceleration due to gravity at the surface would be:

g = (6.67e-11 nm2/kg2 * (5.98E24 kg * 2))/(6.38E6 m)^2

g = 9.81 m/s2