The mass of the planet is
Explanation:
The weight of Captain Kirk on the surface of the planet is equal to the gravitational force between him and the planet, which is:
where
is the gravitational constant
M is the mass of the planet
m is the mass of Captain Kirk
R is the radius of the planet
In this problem, we have:
m = 80.0 kg is the mass of Kirk
is the radius of the planet (same as Uranus)
F = 1250 N is the magnitude of the gravitational force between Kirk and the planet
Solving for M, we find the mass of the planet:
Learn more about gravitational force:
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