What will be the force of gravity at a height of two Earth radii compared to the force of gravity at the Earth’s surface?
| May 31, 2021 | education
R1 = 2 * Rz.
F / F1 -?
Gravity is the force of gravity on the surface of the earth.
The force of universal gravitation is determined by the formula: F = G * m * Mz / Rz ^ 2.
F1 = G * m * Mz / (R1 + Rz) ^ 2 = G * m * Mz / (2 * Rz + Rz) ^ 2 = G * m * Mz / (3 * Rz) ^ 2 = G * m * Ms / 9 * Rs ^ 2.
F / F1 = G * m * Mz / Rz ^ 2: G * m * Mz / 9 * Rz ^ 2 = 9.
Answer: at altitude, the force of gravity will decrease by 9 times: F / F1 = 9.
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