Question

 Suppose the mass of the earth somehow increases by 10% without any change in its size. 
What would happen to your weight? Suppose the radius of the earth becomes twice its 
present radius without any change in its mass. What will happen to your weight? 
 

Answer 1

weight = force of gravity

that is W = mg = GMm/R square
R is radius

clearly, when the mass M of earth increases by 10% our weight also increases 10% because weight is directly proportional to mass. Also, weight is inversely proportional to the square of radius(R). Therefore, when radius R becomes twice of its present radius, our weight become 1/4 of its present value

Answer 2

mass would increaseby 10%

mass would decrease by 1/4th