A satellite orbiting above the equator of the earth is geosynchronous if the period is T = 24 hours (in this case, the satellite stays over a fixed point on the equator). Use Kepler’s Third Law to show that in a circular geosynchronous orbit, the distance from the center ofthe earth is R ≈ 42,246 km. Then compute the altitude h of the orbit above the earth’s surface. The earth has mass M ≈ 5.974 × 10^(24) kg and radius R ≈ 6371 km.

Q: A satellite is orbiting around a planet with a mass of 6.0 x 1024kg and a radius of 6.0 x 106m.  If…

A: Let G, M, m, r, and v denote the gravitational constant, planet’s mass, satellite’s mass, orbital…

Q: Consider a planet of total mass 19.3 x 1024 kg, and radius 10.7 x 106 m.  If the planet has a…

A: Using the gravitational field equations,

Q: A small moon of a giant planet has an orbital period of 1.25 days and an orbital radius of 4.92 x…

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Q: A planet of mass m=3.05×10^24 kg orbits a star of mass M=3.85×1029 kg in a circular path. The radius…

A: The expression to determine the orbital period of the planet is, T2=4π2MGR3

Q: satellite is in a circular orbit around the Earth at an altitude of 1.72 x 10° m. (a) Find the…

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Q: A planet of mass 5.8 x 1024 kg orbits a star of mass 1.6 x 1030 kg in a circular orbit 10 x 1011 m…

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Q: The attractive gravitational force between a spherical body of mass M and another spherical body of…

A: ω=2πf  Acceleration of satellite = ω2r r = radius of revolution = RE+h  Force experienced by…

Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…

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Q: A satellite used in a cellular telephone network has a mass of 2060 kg and is in a circular orbit at…

A: Given,mass of the satellite m = 2060 kgheight of the satellite from surface of the earth mass of the…

Q: A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly  circular…

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Q: Scientists wish to place a satellite near a moon at an altitude of 350.0km from the surface.  The…

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Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

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Q: A satellite is given a boost of 595 MJ of energy to move it from its initial orbit at an altitude of…

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Q: What is the mass of the sun if the radius is 7.1*10^8 and the gravitational acceleration is 270?…

A: Write the given value of this question, Radius of sun is, R=7.1×108m  Gravitational acceleration is,…

Q: ets are in orbits that are similar to that of earth, which orbits the sun (MsunMsun = 1.99× 10^30kg)…

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Q: A satellite is in a circular orbit around the Earth at an altitude of 3.36 x 10 m. (a) Find the…

A: Given data The altitude of the satellite from the earth is given as r = 3.36 x 106 m. a) The time…

Q: An Earth satellite has an orbital period of 5.3 h. What is its orbital radius? (ME = 5.98 x 1024 kg)

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Q: The Earth has a mass of 5.974 x 10^24 kg. The NSS-6 Earth orbiting satellite has a mass of 4,575 kg…

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Q: Calculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height…

A: Mass of the planet, M=8.7×1022kg Height to the satellite's orbit, h=300km=300×103m Radius of the…

Q: In this problem you will measure the gravitational constant in a series of “observational…

A: Given that  initial velocity vi 494 m/sec  ME = 5.95×1024 kg Ri = 6.41×106 m H = 12.7 km Question…

Q: The radius of the Earth may be taken to be 6,371 km. Assume a satellite is in orbit at an altitude…

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Q: An Earth satellite has an orbital period of 5.3 h. What is its orbital radius? (ME = 5.98 x 1024…

A: The orbital period of the satellite is 5.3 h.The mass of the earth is 5.98x1024 kg.

Q: A satellite is in a circular orbit around the Earth at an altitude of 1.76  106 m. (a) Find the…

A: Given, A satellite is in a circular orbit around the earth at an altitude of, h = 1.76×106 m radius…

Q: Problem 6: Two satellites are in circular orbits around a planet that has radius 9 x 106 m. One…

A: Q6.  Since both satellites are orbiting around same planet, So  Using force balance on satellites:…

Q: On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an…

A: On surface of the earth gravity is g = GMR2 , where R is radius of earth , G is gravitational…

Q: One of the moors of Jupiter, named an orbital radius of 10 4.22 * 10 ^ 8 a period of 1.77 days.…

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Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

A: The orbital period of a planet is, The planet’s mass is,

Q: Calculate the period of a satellite orbitin

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Q: A satellite is in circular polar orbit around Earth at an altitude of 450 km – meaning it passes…

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Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

A: radius of earth (R)= 3958.8 miles Mass of earth (M) = 5.972×1024 kg Time period (T) = 14.137 hours…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.