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Tangential speed-different planet-star systems

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Reference no: EM132512421

Three different planet-star systems, which are far apart from one another, are shown above. The masses of the planets are much less than the masses of the stars.

In System A, Planet A of mass Mp orbits Star A of mass Ms in a circular orbit of radius R.

In System B, Planet B of mass 4Mp orbits Star B of mass Ms in a circular orbit of radius R.

In System C, Planet C of mass Mp orbits Star C of mass 4Ms in a circular orbit of radius R.

(a) The gravitational force exerted on Planet A by Star A has a magnitude of F0. Determine the magnitudes of the gravitational forces exerted in System B and System C.

___ Magnitude of gravitational force exerted on Planet B by Star B

___ Magnitude of gravitational force exerted on Planet C by Star C

(b) How do the tangential speeds of planets B and C compare to that of Planet A? In a clear, coherent paragraph-length response that may also contain equations and/or drawings, provide claims about

-why the tangential speed of Planet B is either greater than, less than, or the same as that of Planet A, and

-why the tangential speed of Planet C is either greater than, less than, or the same as that of Planet A

 

Reference no: EM132512421

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