The force of Earth's gravity acting on you, which is what one measures when standing on a scale, is given by a inverse square law of the form()=

2

f(x)=kx2, where

kis a function that depends on your mass and on the mass of the Earth and

xmeasures your distance to the center of the Earth. If the Earth had half the radius it has today, but with the same mass, your weight measured on a current scale would become: