A narrow hole is drilled through the centre of earth (mass M kg and radius R m). Now consider a particle of mass m which is inside the hole at a distance r m from the centre. (a) Show that p3 M, = M- R3 where M, is the mass of a smaller sphere with radius r inside the earth. Hint: Assume the earth is a uniform sphere and that its density is the same every- where.
A narrow hole is drilled through the centre of earth (mass M kg and radius R m). Now consider a particle of mass m which is inside the hole at a distance r m from the centre. (a) Show that p3 M, = M- R3 where M, is the mass of a smaller sphere with radius r inside the earth. Hint: Assume the earth is a uniform sphere and that its density is the same every- where.
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![A narrow hole is drilled through the centre of earth (mass M kg and radius R m).
Now consider a particle of mass m which is inside the hole at a distance r m from
the centre.
(a) Show that
p3
M, = M-
R3
where M, is the mass of a smaller sphere with radius r inside the earth.
Hint: Assume the earth is a uniform sphere and that its density is the same every-
where.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf7ced37-04f1-4fbc-9aa4-2700987b86e3%2F17c9feed-9b2b-4e63-a5eb-ab5337298af5%2Fet1i4i8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A narrow hole is drilled through the centre of earth (mass M kg and radius R m).
Now consider a particle of mass m which is inside the hole at a distance r m from
the centre.
(a) Show that
p3
M, = M-
R3
where M, is the mass of a smaller sphere with radius r inside the earth.
Hint: Assume the earth is a uniform sphere and that its density is the same every-
where.
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