Suppose two worlds, each having mass M and radius R, coalesce into a single worl

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Jun 11th, 2015

Thank you for the opportunity to help you with your question!

You expect double the volume of one world, and volume is proportional to R^3, so Rx = R*2^(1/3). 
Rf/Rx = (R*3/4)/(R*2^(1/3)) = (3/4)/2^(1/3) 
Vf/Vx = (Rf/Rx)^3 =((3/4)/2^(1/3))^3 = (3/4)^3/2 = 0.2109375 
Final density = Vx/Vf*ρ0 = 4.7ρ0

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Jun 11th, 2015

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