Any help is great appreciated, even if its just one question. Thank you!
1. How hard i the sun pulling on earth? The mass of earth is 2*10^24 kg, the mass of the sun is
2*10^30 kg, and the distance between the Earth and the Sun is 1.5*10^11m.
2. How far from the center of Earth must a 580 kg satellite be orbiting to feel a gravitational force of 5494 N? How far above the surface of Earth is this?
3. Pluto's mass is 0.0021 times the mass of Earth. Find the relative force of gravity on Pluto from the sun, compared to Earth, when it is 49 times further away from the sun than the Earth is, and when it is 30 times as far away from Sun as the Earth is.
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Verified answer
F=g*m1*m2/(r*r), g = 6.67300 × 10^-11
1.
6.67 x 10^-11 * 2 * 10^30 * 2 * 10^24 / (1.5*10^11)^2 = 11,857,777,777,777,777,777,777.777777778
= 1.1857 x 10^22 newtons.
2.
5494 = 6.67e-11 * 2e24 * 580 / r^2 (e means 10^, engineering short-hand)
r^2 = 6.67e-11 * 2e24 * 580 / 5494
= 1.4e13
r = 3,752,732 m = 3,753km above the centre of the earth. This is actually *below* the surface, 6378-3753 = 2625km below the surface
3. first you have 0.0021 / 49^2 = 8.74e-7 = 1/1.14 million
then you have 0.0021 / 30^2 = 2.33e-6 = 1/428,571