Question

The Earth satellite with mass m changes the circular orbit with the radius R1 into a circular orbit with a radius of R2 (R2> R1). Calculate the change in the mechanical energy of the satellite. Radius of Earth RZ, acceleration gravitational on the Earth's surface g.

Answer 1

GmM/R1^2=mv1^2/R1
GmM/2R1=mv1^2/2=K.E.=-1/2(P.E.)
∆P.E.=(-2)×[GmM/2R1 - GmM/2R2]
∆P.E.=(-2)×[g×RZ^2/2R1 - g×RZ^2/2R2]
=g[RZ^2/R2 - RZ^2/R1]