User blog:Lina Shields/What if the Earth was as big as the Universe?

Mass and Dimensions
Mass of Earth = 6e24 kg Radius of Earth = 6370 km Gravity of Earth = 1 G, or 9.81m/s^2

Square Cube Law
Radius of the observable universe = 46 billion LY = 4.4e23 km, or 4.4e26 m

Square Cube Law = (4.4e23/6370)^3 * (6e24 kg) = 1.9133e84 kg

Gravitational Binding Energy
GBE = 3*(6.67e-11)*(1.9133e84 kg)^2 / (5*4.4e26m) = 3.33e131 Joules.

To bust the Earth that is big as the universe you need that much energy above. That is about ~8e21 Googol Tons of TNT!

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