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azila
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Homework Statement
Find the gravitational force that the Earth exerts on a 10.0 kg mass if it is placed at the following locations. Location A: at the surface of the earth; Location B: at the outer surface of the molten outer core; Location C: at the surface of the solid inner core; Location D: at the center of the earth
Homework Equations
p = Me/Ve
Ve = (4/3)pi(Re)^3
F = GMeM/Re^2
The Attempt at a Solution
Ok, so first I found the densities at the four different locations on the earth. So here they are:
Location A: 2000 kg/m^3
Location B: 3300 kg/m^3
Location C: 5500 kg/m^3
Location D: 13000 kg/m^3
To find the gravitational force, I thought I first have to solve for the volume of the Earth and then find the certain radius at that location. So for instance, for location A,
I plugged the rho(density) = mass (which I know as 5.97 * 10^24) all over V (which I don't know); I found V to be 2.985 * 10^21.
Then I took that and plugged it into the Ve equation, and found the radius to be 8.93 * 10^6.
Then I used this radius in the gravitational force equation, where it was
G*10kg*5.97*10^24 allover (the radius squared). I got an answer like 49.9 N, but when I submit the answer, the software tells me that it is wrong. So, what am I doing wrong? Please help!
Thanks.