The distance from the Sun to Neptune is 30 times greater than from the Sun to the Earth. Determine the ratio F1 / F2?

| August 18, 2021 | education

Rsn = 30 * Rsz.
Fсз / Fсн -?
According to the law of universal gravitation, the force of attraction between the Sun and Neptune Fсн will be determined by the formula: Fсн = G * mн * mс / Rсн ^ 2.
The force of attraction between the Sun and the Earth Fсз will be determined by the formula: Fсз = G * mz * mс / Rсз ^ 2.
Where G is the gravitational constant, mn is the mass of Neptune, mc is the mass of the Sun, mc is the mass of the Earth, Rc is the distance between the Sun and Neptune, Rc is the distance between the Sun and the Earth.
Fsz / Fsn = G * mz * ms / Rsz ^ 2: G * mn * mc / Rsn ^ 2 = mz * Rsn ^ 2 / mn * Rsz ^ 2 = mz * (30 * Rsz) ^ 2 / mn * Rsz ^ 2 = 900 * mz * / mn.
Answer: the attraction force between the Sun and the Earth is 900 * m3 * / mn times greater than the attraction between the Sun and Neptune: Fsz / Fsn = 900 * mz * / mn.



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