- #1
StaticWaffles
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Homework Statement
Suppose the mass of the Earth were doubled , but it kept the same density and spherical shape. How would the weight of objects at the Earh's surface change?
Homework Equations
Fg=Gm1m2/r^2
The Attempt at a Solution
g=G2m/r^2
g=19.59817612
g/g(on Earth - 9.8)
=2
I know this is wrong because the textbook says the answer is 1.26 or 2^1/3.
I have no idea how to get this answer. I did find an online solution but they used equations that I have not been taught.
Here is a link to the online solution:
http://archives.evergreen.edu/webpages/curricular/2005-2006/PhyAstro/0506/HW/G6solns.pdf
If anyone can explain how to get this answer step by step that would be great.