You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth’s surface. Find the following: a. Speed b. Period c. Radial Acceleration
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You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth’s surface. Find the following:
a. Speed
b. Period
c. Radial Acceleration
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Solved in 3 steps
- Determine the orbital speed, in m/s, of a satellite that circles the Earth with a period of 1.70 x 104 s. The mass of the Earth is 5.97 x 1024 kg. 1.08e18 X How is orbital speed related to orbital radius and orbital period? m/s22. Suppose that a satellite is in a circular orbit at a height of 2.00 x 106 m above Earth's surface. What is the period of the satellite's motion at this elevation?1. On a planet whose radius is 1.5 × 107 m, the acceleration due to gravity is 20 m/s². An astronaut with a mass of 60 kg is standing on its surface.
- 7.7.) A sateltle orbits at a height of 6,000 km above the earth’s surface. REarth = 6.38 × 106 m, mEarth = 5.98 × 1024 kg. What is the magnitude of the gravitational acceleration g at this height, in m/s2? Use G = 6.67 × 10-11 N·m2/kg2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.5. A satellite has an orbital radius 100 km above the Earth's surface. See #4 for a. What is the speed of the satellite? b. How many minutes does it take the satellite to complete one orbit? t.docx 787 Ke vew
- 1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg, rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.t_sat)?4. A satellite 300 miles above the city in a circular orbit about the Earth is directly over a particular city at time t=0. It is traveling eastward at 16,000 mph. At the same time, a small rock very near the satellite is released from rest 300 miles above the city. How does the acceleration of the rock compare to that of the satellite in both magnitude AND direction? Explain.1. A plane must fly to a destination that is south-west of its departure point. Because of the wind, it heads west.What direction is the wind blowing in?a. south d. north-westb. west e. eastc. north-east 2. The orbital radius of a satellite circling the Eartha. depends only on its orbital speedb. depends only on its massc. depends on both its orbital speed and its massd. is the same for all satellitese. is directly proportional to its orbital speed
- Found a large planet the size of Jupiter orbiting a star. The distance of the planet is 1/9 times the distance between Mercury and the sun. The planet takes 3.09 days to make one orbit (assuming circular). How fast is the planet moving? (Knowing G = 6.67 × 10^-11 N m²/kg², distance of Mercury from the sun = 5.79 x 1010 m) a. 131 km/s b. 141 km/s c. 151 km/s d. 161 km/s e. 171 km/sA centripetal force of 245 N acts on a 1,700-kg satellite moving with a speed of 4,500 m/s in a circular orbit around a planet. What is the radius of its orbit? m4. We are planning a human exploration mission to Mars. We will first place our spacecraft into a circular around Mars and then send down a lander. a) If we want the spacecraft to orbit at an altitude of 170 km above the Martian surface, what will the velocity and orbital period of the spacecraft? b) When we land astronauts on the surface of Mars, what acceleration due to gravity in terms of g's (i.e. as a fraction of the Earth's gravitational acceleration) will the astronauts experience? You are permitted to use an online resource (e.g. Google) to find the necessary information about Mars that you might need in solving this problem.