The diagram below represents two satelllites of equal mass, A and B, in circular

Question

The diagram below represents two satelllites of equal mass, A and B, in circular orbits around a planet.

The outside line with arrow by B is suppossod to be curved showing circular motion toward top

The inside arrow is supp to be A showing motion of inside circle. Ourside line to fartherst circle 2r

inside is r and it goes from center to inside circle (radius perhaps?)

Question: Compared to magnitude of the gravitational force of attraction between satellite A nd planet , the magnitude of the gravitational force of attraction between satellite Ba and planet is:

A) 2x as great   B) 4x as great   C) 1/4 as great   D) 1/2 as great

The diagram below represents two satelllites of equal mass, A and B, in circular orbits around a planet. ( okay I will draw and describe the best that i can) B The outside line with arrow by B is suppossod to be curved showing circular motion toward top The inside arrow is supp to be A showing motion of inside circle. Ourside line to fartherst circle 2r inside is r and it goes from center to inside circle (radius perhaps?) Question: Compared to magnitude of the gravitational force of attraction between satellite A nd planet , the magnitude of the gravitational force of attraction between satellite Ba and planet is: A) 2x as great B) 4x as great C) 1/4 as great D) 1/2 as great

Explanation / Answer

The satellite A is at distance r from the planet The gravitational force                   FA = G Mm/r^2      The satellite B is at distance 2r from the planet The gravitational force            FB = G Mm/(2r)^2                  = 1/4 G Mm/r^2                  = 1/4 (FA) therefore the force of B is 1/4 times greater than A

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