Two identical satellites A and B revolve in separate circular orbits of radii and…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two identical satellites A and B revolve in separate circular orbits of radii rr and 2r2r respectively around the same planet of mass MM. Neglect the mass of each satellite compared with MM. (i) Determine the ratio of the orbital speeds vA:vBv_A : v_B. (ii) Find the ratio of their kinetic energies KA:KBK_A : K_B. (iii) Find the ratio of their total mechanical energies EA:EBE_A : E_B. (iv) State whether the magnitude of the potential energy of satellite A is greater than, equal to, or less than that of satellite B, giving a brief reason for your answer.

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