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PhysicsQ&A LibraryYou are a scientist exploring a mysterious planet. You have performed measurements and know the following things:The planet has radius d. It is orbiting his star in a circular orbit of radius b. it takes time T to complete one orbit around the star. the free-fall acceleration on the surface of the planet is a. Derive an expression for the mass and of the star in terms of b,T, and G the universal gravitational constant.Question

Asked Dec 13, 2019

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You are a scientist exploring a mysterious planet. You have performed measurements and know the following things:

The planet has radius d.

It is orbiting his star in a circular orbit of radius b.

it takes time T to complete one orbit around the star.

the free-fall acceleration on the surface of the planet is a.

Derive an expression for the mass and of the star in terms of b,T, and G the universal gravitational constant.

Step 1

let the mass of the planet be *m* and that of the star is *M*,

the weight of an object at the surface of the planet is equal to the gravitational force acting on it.that is,

Step 2

therefore, the mass of th...

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