The Moon has an interesting relationship with the Earth, where the same face of the Moon is always facing towards the Earth. This is called tidal locking, where the time it takes for the Moon to rotate once is exactly equal to the time it takes for it to orbit the Earth. Given that the Moon performs 13.5 rotations per year, and that the Earth has a mass of 5.97 1024 kg, find the center to center distance between the Earth and the X Moon. You must show your work in order to obtain credit. The gravitational constant is G = 6.67 x 10 11 Nm kg2

A satellite is in circular polar orbit around Earth at an altitude of 450 km – meaning it passes directly overhead of the North and South Poles. What is the magnitude and direction of the displacement vector when it is directly over the North Pole to when it is at 40° latitude? Earth’s radius is 6,370 km.

Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.87 Earth years in a circular orbit around its star, which has a measured mass of 3.77×10^30 kg. Find the radius r of the exoplanet's orbit.

The orbit of the moon around the earth is approximately circular, with a mean radius of 3.85 x 108 m. It takes 27.3 days for the moon to complete one revolution around the earth. Find the average orbital speed of the moon.

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The International Space Station has a mass of 4.19 ✕ 105 kg and orbits at a radius of 6.79 ✕ 106 m from the center of Earth. Find the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of an 88.3 kg astronaut living inside the station. Just need the answer to option B   (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.)   3622431.86 N (b) the space station's gravitational potential energy (in J)   _____________J (c) the weight (in N) of an 88.3 kg astronaut living inside the station  763.39 N

At some point during their orbit, the location of the Earth and Moon relative to the Sun will be as shown in the figure below, with the Moon at the origin of the coordinate system, rE = (-3.84 ×: < 108) | m and rs = (-1.50 × 10¹¹1) m 7.35 x 1022 kg, the Earth has a mass 5.97 x 1024 kg, and the Sun has a mass 2.00 x 1030 kg. What is the force experienced by the Moon due to the Sun and the Earth? Express your answer in vector form. Fnet = X What is the direction of the force exerted by the Sun on the Moon? What is the direction of the force exerted by the Earth on the Moon? N r's Additional Materials Reading Tutorial Sun Submit Answer Mooni Earth 2. [0/1 Points] OSUNIPHYSI 13.2.WA.0-12.TUTORIAL. As you go above the Earth's surface, the acceleration due to its gravity will decrease. Find the height above the Earth's surface where this value will be 1/254 g. X Consider Newton's Universal Law of Gravitation for objects near the surface of the Earth. m MY NOTES m. The mass of the Moon is ASK…

A solid uniform sphere has a mass of 4.00 x 10* kg and a radius of 1.5 m. (Use the following as necessary: r and m. Assume SI units. Do not enter units in your ansWers.) (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m located at a distance of 1.6 m from the center of the sphere? F = N. (b) What if it is 1.4 m from the center of the sphere? F = N. (c) Write a general expression for the magnitude of the gravitational force on the particle at a distancer 1.5 m from the center of the sphere. F = Additional Materials eBook Powers of Ten

The tidal acceleration due to the moon at the surface of the earth is approximately 2.44*10^-5 m/s^2. If the moon was closer to the earth by a factor of 0.9. What then would the tidal acceleration be?

Two satellites travel along the same circular orbit of radius  4.7*10^4 km centred at the Earth. The distance between the satellites, measured along their orbit, is 59, 000  km. Determine the angular separation of the two satellites in radians.