18. Pluto orbits the sun in an elliptical path. Its minimum distance from tyé su

Question

18. Pluto orbits the sun in an elliptical path. Its minimum distance from tyé sun (perihelion) is p-4.437-102 m. Its maximum distance from the sun (aphelion) is r,-376 10 m. a) Write an expression for either [1] the angular momentum-OR-(2] the total mechanical energy of Pluto's orbital motion at the aphelion. b) Write an on for either [1] the angular momentum-OR-[2] the total mechanical energy of Pluto's orbital hotion at the perihelion. c) Given that the minimum orbital sxeed of Pluto is Ival-3710 m/s, approximate the maximum orbital speed, lVsh using either tpe cervatio of energy or the conservation of angular momentum (m,un = 1 .9891 030Ag).

Explanation / Answer

a) Mp*Va*7.376*10^12

b) Mp*Vp*4.437*10^12

c) using conservation of angularmomentum

Va*7.376*10^12 = Vp*4.437*10^12

3710*7.376*10^12 = Vp*4.437*10^12

Vp = 6167.44 m/s

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