6. Consider a planet of mass m in orbit about a star of mass M. Since M >> m, we can assume the star is at rest. a) Show that the energy of the planet can be written as GMm 1 E = 5" mi² + 2mr b) Now assume the planet is in a perfectly circular orbit. What is the energy in this case? c) Represent the energy obtained in part (b) on an energy diagram. (Draw and label very carefully.)
6. Consider a planet of mass m in orbit about a star of mass M. Since M >> m, we can assume the star is at rest. a) Show that the energy of the planet can be written as GMm 1 E = 5" mi² + 2mr b) Now assume the planet is in a perfectly circular orbit. What is the energy in this case? c) Represent the energy obtained in part (b) on an energy diagram. (Draw and label very carefully.)
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Transcribed Image Text:6. Consider a planet of mass m in orbit about a star of mass M.
Since M >> m, we can assume the star is at rest.
a) Show that the energy of the planet can be written as
GMm
E =
2mr?
b) Now assume the planet is in a perfectly circular orbit. What is the
energy in this case?
c) Represent the energy obtained in part (b) on an energy diagram.
(Draw and label very carefully.)
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