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How much work would it take to remove all the earth's kinetic energy so it falls...

How much work would it take to remove all the earth's kinetic energy so it falls straight into the Sun?

We are studying gravity, so don’t worry about how to shatter rock; just compute the gravitational binding energy. And you can model Earth as a constant-density core of density ρc= 13,000 kg/m2 and radius Rc= 3486 km, plus a mantle of thickness 2891 km and density ρm= 4400 kg/m2.

science   Advanced-Physics   
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