13.4b Ex1 ON15 P41 Q1 Satellite in Orbit | A2 Gravitational Fields | Cambridge A Level Physics

Example 1 - 9702/41/O/N/15: A satellite of mass m is in a circular orbit of radius x about the Earth. The Earth may be considered to be an isolated uniform sphere with its mass M concentrated at its centre. #9702w15p41 #A2orbitalMechanicsP4 #Lv2

(a) (i) Show that the kinetic energy EK of the satellite is given by the expression where G is the gravitational constant. Explain your working.
(ii) State an expression, in terms of G, M, mS and x, for the potential energy EP of the satellite.
(iii) Using answers from (i) and (ii), derive an expression for the total energy ET of the satellite.

(b) Small resistive forces acting on the satellite cause the radius of its circular orbit to change. Use your answers in (a) to state, for the satellite, whether each of the following quantities increases, decreases or remains constant.
(i) total energy
(ii) radius of orbit
(iii) potential energy
(iv) kinetic energy

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[ayubfarah]

thank you very much i hope watching your videos can get me an A*