two plantes having equal masses are in circular orbit around a star planet A has

ID: 1463054 • Letter: T

Question

two plantes having equal masses are in circular orbit around a star planet A has an orbit radius of two time that of planet B. which is true?

a- planet A has more Kinetic energy,lower potential energy, and lower mechanical energy(potential plus Kinetic)than planetB.

b-planet A has less Kinetic energy,higher potential energy, and higher mechanical energy(potential plus Kinetic)than planetB.

c- planet A has more Kinetic energy,lower potential energy, and higher mechanical energy(potential plus Kinetic)than planetB.

d- planet A and B have the same amount of mechanical energy( potential plus Kinetic)

b-planet A has less Kinetic energy,higher potential energy, and higher mechanical energy(potential plus Kinetic)than planetB.

beacsue , orbital speed vo = sqrt(G*M/r), so as r decreases Vo decreses.so, KE decreases.

potentail energy, PE = -G*M*m/r, so as r increases PE also increases.

Total mechanical energy, TE = -G*M*m/(2*r), so as r increases TE also increases.

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