Question

A 1 045-kg satellite orbits the Earth at a constant altitude of 95-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 209 km? M] (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? M]

Answer 1

som - Mass of the satellite M = 1045 kg - initial height hi = 95km =95x103 m final height h= 209 km 2 209x103 kg (2) Energy to be added to the satellite to move in height hi to the height ht . & E - GMM - GMm (1 1/3) GMm (Rthin the - Ex 667x10-X1045% 6X1024x (Abox1c3+95X103 Avoxicº+209xią = 2.091x1017 fx 2.6557X169 - 555°33X106J = 555:33 MJ b) change in system's kinelie enery, AK 2-AE = -555-33 MJ c) Change in system's Potential energy AU = 24E = 2*555:33 111 0°66 MJ Rthf