The spacecraft is moving away from the Earth. How will the gravitational force acting from the Earth

The spacecraft is moving away from the Earth. How will the gravitational force acting from the Earth on the rocket change with an increase in the distance to the center of the Earth by 4 times?

r2 = 4 * r1
F1 / F2 -?

According to the law of universal gravitation, the force of mutual attraction F is directly proportional to the masses of interacting bodies m1, m2 and inversely proportional to the square of the distance between them r: F = G * m1 * m2 / r2.

F1 = G * m1 * m ^ 2 / r1 ^ 2.

F2 = G * m1 * m ^ 2 / r2 ^ 2 = G * m1 * m2 / (4 * r1) ^ 2 = F1 / 16.

Since the masses of bodies do not change, and the distance between them has increased by 4 times, the force of attraction has decreased by 16 times.



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