Question

A rogue planet (one thats way out in space not orbiting any star) has a mass ten times the Earth's and a radius four times the Earth's. What is its gravity compared to Earth's? 

          A rogue planet (one thats way out in space not orbiting any star) 
has a mass ten times the Earth's and a radius four times the Earth's.
What is its gravity compared to Earth's?

Added by Kathy R.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A rogue planet (one thats way out in space not orbiting any star) has a mass ten times the Earth's and a radius four times the Earth's. What is its gravity compared to Earth's?
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Transcript

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00:01 In this problem a planet is orbiting a star and it feels a given gravitational force at some point in the orbit and then the star collapses into a black hole with its radius.
00:17 Now 1 upon 100 of the original radius.
00:23 So we have to find out the new gravitational force on the planet.
00:27 Now let us suppose the radius of orbit is r.
00:31 For the planet around the star so the distance of planet from the center of a star will be r which is the radius of orbit now when the star collapses into the black hole and its radius is reduced from capital r to r upon hundred still the size of the planet decreases but the distance of the center of the star from the planet will remain the same because the star is not moving from its place so its center remains fixed so the distance of the center of a star from the planet is fixed and it is r now initial gravitational force is f i equal to g m star times m planet ms is mass of star mp is mass of planet upon r square...
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