Fewpal
+1 vote
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in Physics by (29.7k points)

Calculate the average density of the earth in terms of g, G and R.

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2 Answers

+1 vote
by (127k points)

g = G M/ R2 or 

M = ×  g x R2 /G  ⇒ Density 

D = mass / volume = g x R / g x R (Where Ve is the volume of the earth ) or 

D = gxR2 / G x (4/3) π R3

= 3g / 4πGR

+1 vote
by (20 points)
g=G.M/R2

Mass=g.R2/G

Density=Mass/Volume

V=4/3pi r3

p=g.R2/G*3/4pi R3

3g/4piRG

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