You weigh 716 newtons on Earth. You
travel to a newly discovered planet,
Planet X. Planet X has a mass that is 3
times that of Earth, but it also has a
radius that is twice as large. What is
your new weight in newtons on planet
x?​

Respuesta :

Answer:

537 N

Explanation:

The force due to gravity of a planet is:

F = GMm / r²

where G is the universal gravitational constant

M is the mass of the planet

m is the mass of the object

and r is the distance between the object and the center of the planet

On Earth, you weigh 716 N, so:

716 N = GMm / r²

On planet X:

F = G (3M) m / (2r)²

F = 3/4 GMm / r²

F = 3/4 (716 N)

F = 537 N

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