Liquid Planet!

Consider a spherical planet with radius \(R\) made of a liquid with density \(\rho\). Find the pressure in the center of the planet, in N/m\(^2\).

Details and assumptions

  • \(\rho ={ 1 }0^{ 3 }\) kg/m\(^3\)
  • \(G=6.5\times { 10 }^{ -11 }\) N m\(^2\)/kg\(^{ -2 }\)
  • \(R=2\times { 10 }^{ 4 }\) m
  • \(\pi =3\)
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