The correct answer is (b) [tex]5.17*10^{5}m[/tex]
Let us consider an object of mass m on the planet Q.
On planet Q, let the acceleration due to gravity be g = 2.24 m/[tex]s^{2}[/tex]
Mass of the planet is M = [tex]8.96*10^{21} kg[/tex]
Let its radius be R
and the universal gravitational constant G = [tex]6.67*10^{-11} m/kg[/tex]
Gravitational Force acting on the object:
[tex]mg=\frac{GMm}{R^{2} }[/tex]
[tex]R=\sqrt{\frac{GM}{g} } \\R=\sqrt{\frac{6.67*10^{-11}*8.96*10^{21} }{2.24} }\\R=5.17*10^{5} m[/tex] is the radius of the planet Q.
Learn more about gravitational force:
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