The distance from the center of the earth to the center of the moon is 3.8 10^8 m. G= 6.67*10^-11 Nm^2/kg^2 and the mass of the earth is 5.98*10^24 kg. The mass of the moon is 7.35*10^22 kg. a. Find the gravitational force acting on the moon from the earth and the centripetal acceleration. b. Find the velocity of the moon in its orbit. C. How long does the moon take to complete one orbit around the earth? Convert this number into days
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- Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 1159 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 106.6 rpm 0.615 rpm 0.879 rpm 0.092 rpmA)Find the magnitude of the gravitational force (in N) between a planet with mass 8.75 ✕ 1024kg and its moon, with mass 2.30 ✕ 1022 kg, if the average distance between their centers is 2.40 ✕ 108 m. _______N B)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) __________m/s^2 C)What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) _________m/s^22. Determine the following. a. What is the acceleration due to gravity on the surface of the Moon? Hint: see index D in the textbook for the necessary values needed. b. On the surface of Mars? The mass of Mars is 6.418 × 1023 kg and its radius is 3.38 × 106 m.
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