Two Earth satellites, A and B , each of mass m , are to be launched into circula

Question

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 6700 km. Satellite B is to orbit at an altitude of 16400 km. The radius of Earth REis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 27.7 kg? (d) By how much?

I got part c correct but missed other parts.

Explanation / Answer

A) P. E =Gm1m2/r

P. EB/P.EA =rA/rB =(6370+6700)/(6370+16400) =0.574

b) K.E =P.E/2

so

K.EA/K.EB =0.574

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