How many times will the force of attraction to the Earth of the spacecraft
May 26, 2021 | education
| How many times will the force of attraction to the Earth of the spacecraft decrease as it moves away from the surface of the Earth at a distance equal to 5 Earth radii?
The force of attraction will decrease 36 times.
The law of universal gravitation is written as follows:
Ft = G * M * m / (R ^ 2)
Where Fт is the force of gravity or attraction;
M and m are the masses of two objects;
R is the distance between the centers of gravity of objects.
In the problem R = 5Rz + Rz = 6Rz;
Rz – the radius of the Earth
R ^ 2 = = (6Rs) ^ 2 = 36Rs.
Dividing the force of gravity on the surface by the force of gravity at a height of 5 Earth radii from the surface, and we get 36 times.
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