6. Mithra is an unknown planet that has two airless moons. A and B, in circular orbits around it.
The table summarizes the hypothetical data about these moons. If you dropped a laser at the
surface of Moon B, at what rate would it accelerate toward the ground? (G= 6.67 10-N.
m²/kg)
Moon A
Moon B
Mass
4.0 x 1020 kg
1.5 x 1020 kg
Radius
unknown
2.0 x 109 m
Orbital radius Orbital period
2.0 x 108 m 4.0 x 10ⓇS
3.0 x 108 m unknown
A) 0.10 m/s2
B) 0.15 m/s2
C) 0.20 m/s2
D) 0.25 m/s2
E) 0.30 m/s2

Question

contestada

Respuesta :

skyluke89 skyluke89 · Answer 1 · 2020-02-08T16:17:58+01:00

The acceleration of gravity on Moon B is D) 0.25 m/s2

Explanation:

The data listed in the problem are not clear: find them in the table attached.

The acceleration of gravity on a planet is given by the following equation:

[tex]g=\frac{GM}{R^2}[/tex]

where:

[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant

M is the mass of the planet

R is the radius of the planet

Here we want to find the acceleration of gravity on the surface of Moon B, which has the following data:

[tex]M=1.5\cdot 10^{20} kg[/tex] (mass)

[tex]R=2.0\cdot 10^5 m[/tex] (radius)

And substituting into the equation, we find:

[tex]g=\frac{(6.67\cdot 10^{-11})(1.5\cdot 10^{20})}{(2.0\cdot 10^5)^2}=0.25 m/s^2[/tex]

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