question_answer

The mass M of a planet-earth is uniformly distributed over a spherical volume of radius R. Calculate the energy needed to disassemble the planet against the gravitational pull amongst its constituent particles. Given: \[\operatorname{MR}=2.5\times 1{{0}^{31}} kg-mandg= 10m/{{s}^{2}}\]

A) \[3.0\times {{10}^{32}}\operatorname{J}\]       

B) \[2.5\times {{10}^{32}}\operatorname{J}\]

C) \[0.5\times {{10}^{32}}\operatorname{J}\]    

D)        \[1.5\times {{10}^{32}}\operatorname{J}\]