Show the nature of the following graph for a satellite orbiting the earth. a) KE vs orbital radius R b) PE vs orbital radius R c) TE vs orbital radius R
Mass of earth = M2 Radius of orbit of satellite = R Mass of satellite = m orbital velocity v0=RGM (a) EK versus R: KEK=21mv02=21m.RGM=2RGMm EK∝R1 i.e. EK decreases expotentially with R. (b) EP versus R : potential energy EP=R−GMm EP∝−R1 (c) T.E. versus R : EK=+21RGMm EP=R−GMm T.E>=E=21RGMm−RGMm E=2−1RGMm
