If the mass of earth is increased by 25% without any change in its size. Then, its acceleration due to gravity:
increases by 25%
Solution
The acceleration due to gravity on earth is given by g = GM/R2.
From the above equation, we observe that acceleration is directly proportional to the mass of the earth. So, if the mass of the earth is increased by 25 % and R is kept constant, the value of g will also increase by 25 %.