Where is the greater the force of gravity acting on the body: on the surface of the Earth

Where is the greater the force of gravity acting on the body: on the surface of the Earth or at an altitude of 300 km above the Earth?

Gravity: F = m * g, where m is body mass, g is gravitational acceleration. Surface of the Earth: F1 = m * g1, where g1 = G * M * m / R², where G is the gravitational constant, M is the mass of the Earth, m is the mass of the body, R is the radius of the Earth. Height 300 km: F2 = m * g2, where g2 = G * M * m / (R + h) ², where h is the body height above the Earth’s surface (h = 300 km). F2 / F1 = (G * M * m / (R + h) ²) / (G * M * m / R²) = R² / (R + h) ² <1.
Answer: Since F2 / F1 <1, the force of gravity is greater on the surface of the Earth.



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