If the radius of the earth was suddenly tripled and its mass doubled, the surface gravitational acceleration would become: a) 9.8 m/s^2
b) 2.18 m/s^2
c) 7.35 m/s^2
d) 14.7 m/s^2
e) 13.1 m/s^2

B) 2.18 m/s²

Explanation:

M = Original mass of earth

R = Original radius of earth

g = original acceleration due to gravity of earth = 9.8 m/s²

M' = New mass of earth = 2 M

R' = New radius of earth = 3 R

g = original acceleration due to gravity of earth = 9.8 m/s²

Original acceleration due to gravity of earth is given as

                              eq-1

g' = new acceleration due to gravity of earth

New acceleration due to gravity of earth is given as

Using eq-1

g' = 2.18 m/s²

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