lccarpenter4092 lccarpenter4092

09-12-2022
Physics

Answered

a satellite of mass m is in an elliptical orbit around the earth, which has mass me and radius re. the orbit varies from a closest approach of distance a at point a to maximum distance of b from the center of the earth at point b. at point a, the speed of the satellite is vo. assume that the gravitational potential energy ug = 0 when masses are an infinite distance apart. Express your answers in terms of a, b, m, Me, Re, vo, and G.
a. Determine the total energy of the satellite when it is at A. b. What is the magnitude of the angular momentum of the satellite about the center of the Earth when it is at A? c. Determine the velocity of the satellite as it passes point B in its orbit.

Answer :

kjuli1766 kjuli1766

17-12-2022

(a) the total energy of the satellite when it is at A:-

E = PE + KE = - G*Me*M/a + 1/2mv₀²

(b) the magnitude of the angular momentum of the satellite about the center of the Earth when it is at A:-

L = mvr = mv₀a

(c) Conservation of angular momentum gives,

mv₀a = mvᵇb, or vᵇ = v₀a/b

Learn more about energy of the satellite here:- https://brainly.com/question/9669412

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