Im begging ! i will give

which form of kepler’s third law can you use to relate the period t and radius r of a planet in our solar system as long as the unit year is used for the period and the astronomical unit is used for the radius?

t²=r³

t²=r

t=r²

t³=r²

√(r³ / (MG))

Explanation:

The dimensions of each variable are:

r = [m]

G = [m³/kg/s²]

M = [kg]

Multiplying M and G eliminates kilograms:

MG = [m³/s²]

The radius cubed divided by MG eliminates meters:

r³ / (MG) = [s²]

The square root gives us seconds:

√(r³ / (MG)) = [s]

Hope This Helps! :D

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step-by-step explanation: