since volume grows as the cube of the radial scale factor,
the radius grows as the cube root.
That is, since 8 = 2^3, a planet with 8x earth mass will have ∛8=2x the radius.
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"super earths" are known to have similar densities and compositions to earth but they have a mass 2-10x greater than earth. If one of these super earth's had a mass 5x the mass of earth what would be the super earth's radius ?
a) 1.7x earth's radius
b) 2.2x earth's radius
c) 5x earth's radius
d) 7.3x earth's radius
e) 10x earth's radius
ANY HELP IS HIGHLY APPRECIATED!
1 answer