ANSWERS: 1
  • The question is what is the amount of energy required by a particle in order for it to have 0 velocity at infinite radius. Therefore, we set E = 0, or T + U = 0 T = kinetic energy U = -GM1M2/r = -GM1M2/R^2*R We recall that GM1M2/R^2 is the gravitational force at a radius R, and at earth's surface this force is approximately mg. Therefore, the potential energy at this point is -mgR. We then have T + -mgR = 0, or T = mgR

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