Question

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.

Answer 1

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.

Answer 2

C)
`9.75m/s^2`

Step-by-step explanation:

Acceleration of gravity is calculated with the following formula:

`g=(GM)/(r^2)`

Where
`G` It is the universal gravitational constant

`G=6.674x10^(-11)Nm^2/kg^2`

and M is the mass of the earth:

`M=5.972x10^(24) kg`

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

`r=6.37x10^(6) m + 20000m=6.39x10^(6)m`

thus, the acceleration g is:

`g=((6.674x10^(-11)Nm^2/kg^2)(5.972x10^(24) kg))/((6.39x10^(6)m)^2) =9.75m/s^2`