A 60-kg satellite travels in free flight along an elliptical orbit such that at A, where r...

A 60-kg satellite travels in free flight along an elliptical orbit such that at A, where rA = 20 Mm, it has a speed vA = 40 Mm/h. What is the speed of the satellite when it reaches point B, where rB = 80 Mm? Hint: See Prob, where Me = 5.976(1024) kg and G = 66.73(10−12) m3/(kg•s2).

Problem:

If the mass of the earth is Me, show that the gravitational potential energy of a body of mass m located a distance r from the center of the earth is Vg = −GMem/r. Recall that the gravitational force acting between the earth and the body is F = G(Mem/r2), Eq. 13-1. For the calculation, locate the datum at r→∞. Also, prove that F is a conservative force.