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January 27, 2015

January 27, 2015

Posted by **Andy** on Sunday, October 11, 2009 at 10:00pm.

9.01×10-1 is the correct ratio

Calculate the average density of Venus (in kg/m3) given the earth's density is 5.52×103 kg/m3.

this is the part I'm having trouble with.

Any help would be greatly appreciated thanks!

- Physics -
**MathMate**, Sunday, October 11, 2009 at 10:35pmThe general gravitational attraction formula is

F = GMm/r²

from which g= F/m = GM/r²

To find the value of acceleration on Venus relative to the value on earth, we have

g*0.8140/(0.95)²

=0.9g

Density = mass / volume

Since volume of a sphere is proportional to the cube of the radius

Density = mass / volume

=mass /((4/3)πr³)

Let the average density of earth be

ρ=5.52*10³ kg/m²

density on venus (by proportions)

=ρ*0.8140/0.95³

=0.95ρ approx.

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