By what factor would your weight change if Earth's diameter were tripled and its mass were tripled?

1 Answer
Oct 28, 2015

Wt become# 1/2#

Explanation:

The gravity g of earth is# (GM)/r^2 #
if the parameters are doubled , the gravity would be

#(G(2M))/((2r)^2)= (2GM)/ (4r^2)= (1/2*GM)/(r^2 )#

the gravity changed to half so the weight reduces to half !