Question

Asked Oct 11, 2019

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The center of a moon of mass *m* is a distance *D* from the center of a planet of mass *M*. At some distance *x* from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.

**(a) ** Derive an expression for *x*.

**(b) ** If the net force is zero a distance 2/3 *D* from the planet, what is the ratio *R* of the mass of the planet to the mass of the moon, *M*/*m*?

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Step 1

(a) Equate the gravitational force due to the moon and the force due to the planet on the object

Step 2

Step 3

Solve the above equ...

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