You are on an airplane traveling with a constant velocity at an altitude of 20,000m. What is the acceleration of gravity at that altitude? The earth's radius is 6.37 x 10^6m.. . A) 9.81 m/s^2. B) 9.78 m/s^2. C) 9.75 m/s^2. D) 9.72 m/s^2. E) 9.69 m/s^2.

The correct answer would be A.The acceleration of gravity is 9.81 m/s^2. This is calculated by using the equation:

a = GM/r²

where G is the gravitational constant 6.6726 x 10-11N-m2/kg2, M is the mass of the planet (5.9736E+24 kg) and r is the radius of the planet.

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rocioo rocioo · Answer 2 · 2019-10-22T17:02:12+02:00

Answer:

C) [tex]9.75m/s^2[/tex]

Explanation:

Acceleration of gravity is calculated with the following formula:

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

Where [tex]G[/tex] It is the universal gravitational constant

[tex]G=6.674x10^{-11}Nm^2/kg^2[/tex]

and M is the mass of the earth:

[tex]M=5.972x10^{24} kg[/tex]

[tex]r[/tex] is the distance from the center of earth wich will be in this case the earth's radius plus the altitude of the airplane:

[tex]r=6.37x10^{6} m + 20000m=6.39x10^{6}m[/tex]

thus, the acceleration g is:

[tex]g=\frac{(6.674x10^{-11}Nm^2/kg^2)(5.972x10^{24} kg)}{(6.39x10^{6}m)^2} =9.75m/s^2[/tex]