hat do you think are some potential problems or issues someone would encounter while orbiting earth in the International Space Station (ISS) for an entire year?

Four small spheres each with a mass of m = 14 kg are attached to the corners of a square. The length of one side of the square is L = 8 meters. See figure below. Find the magnitude of the gravitational field due to these four point masses at the position P in the middle of the bottom leg of the square as shown. Use G = 6.673E-11 N m2/kg2.

The mean diameters of planets A and B are 9.3 × 103 km and 1.8 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.88. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?

On the Earths surface, the gravitational field strength is about 9.8 m/s2 . Now considering a different planet with a mass of 7.4 x 1023 kg with a gravitational field strength at its surface of 5.3 m/s2 . What is the diameter of this planet?

a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an altitude of 5.0 x 102 km? b) How much additional energy would have to be supplied to the satellite once it was in orbit, to allow it to escape from Earth’s gravitational field?

A 2660-kg spacecraft is in a circular orbit 1540 km above the surface of Mars. How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4500 km above the surface? Express your answer to three significant figures.

One of your summer lunar space camp activities is to launch a 1130 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 217 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively. AU = J

The density of Planet Y in the previous problem is Show the entire calculation. Calculation: The universal gravitational -11 3 -1 -2 constant is 6.67430*10 m kg s . Planet Y has a radius of 5360km or 5.360*10 m and a mass of 4.56*10²3 kg. On this planet, a rock falls vertically down from a cliff overhang to the ground. The height of the cliff is 86m. The time it M takes the rock to fall from the overhang to the ground is Show the entire calculation. Calculation: g = G*- The density O R of Planet Y in the previous problem is Show the entire calculation. Calculation:

b) An exoplanet orbits a non-rotating, 1.79019x 100 kg star. Analysing through the use of geodesics, determine the time period of the planet to complete one orbit around the G-type star where the eccentricity of the orbit is approximately 0 and the distance between the star and planet is 3.41382 x 10° m.

The mean diameters of planets A and B are 7.3 × 103 km and 1.2 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.41. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?