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 asGMmE =2mr?b) Now assume the planet is in a perfectly circular orbit. What is theenergy in this case?c) Represent the energy obtained in part (b) on an energy diagram.(Draw and label very carefully.)

Answered: Image /qna-images/answer/ccd22f5f-19c4-403e-ad56-297893874792.jpg

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.)