Question

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

Answer 1

16

Explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

1/(1/4)² = 16

You would weigh 16 times as much.

_____

Additional comment

The distribution of mass within the earth also affects your weight.