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Question

A uniform sphere has a mass M and radius R . Find the gravitational pressure P inside the sphere , as a function of the distance r from its centre

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Solution

R.E.F image
The solid sphere into This spherical
layers and consider a layer of
Thickness dr lying at a distance 'r'
from center of ball. Each spherical
layer preserve on the layers with init
The considered layer is attracted to the past of sphere lying with it
Hence for considered layer
dp4πr2=df
dp4πr2=γ(43πr3p)r2 P in mean density of sphere
or dp=43πγp2dr
Then p=38(1(r2R2))γm2/πR4

1381990_1214118_ans_b0cef8474dfd446f8e0322e79390bbcc.JPG

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