If the radius of the earth becomes half of its present value but its density remains unchanged then find the weight of body on the surface of earth.

If the radius of the earth becomes half of its present value but its d

1.	If the radius of the earth becomes half of its present value but its density remains unchanged then find the weight of body on the surface of earth.
Answer» Solution :`implies g =(GM_(e))/R_e^2=G/(R_e^2)(4/3piR_e^3rho)=4/3 piR_erho` Since the RADIUS becomes HALF, `g. = 4/3 piG((R_e)/2)rho =1/2 (4/3 pi GR_erho)` `:. g. =g/2 ` soweight becomes half Weight `W PROP g` `:. (W.)/W = (g.)/g` `:. W. = W XX 1/2` ` :. W. = W/2`