A 500-kg communications satellite is in a circular geosynchronous orbit and completes one revolution about the earth in 23 h and 56 min at an altitude of 35 800 km above the surface of the earth. Knowing that the radius of the earth is 6370 km, determine the kinetic energy of the satellite.

Q: 2. A satellite of mass m is in an elliptical orbit around the Earth, which has mass Me and radius…

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Q: A 966-kg satellite orbits the Earth at a constant altitude of 103-km. (a) How much energy must be…

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Q: Assume that a satellite executes perfectly circular orbits around a perfectly circular sphere. The…

A: The work done is equal to the product of force and the displacement.  W=F.dcosθ where W is the work…

Q: The first artificial satellite to orbit the Earth was Sputnik I, launched October 4, 1957. The mass…

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Q: A satellite revolves around the earth in a circular orbit. What is the work done by the satellite?…

A: Given: satellite revolving around the earth

Q: A1 013-kg satellite orbits the Earth at a constant altitude of 99-km. (a) How much energy must be…

A: Mass of satellite, m=1013 kgAltitude of satellite, h=99 kmhereenergy that must be added to move…

Q: 2.0 x103 kg satellite is in a circular orbit around the earth (m = 5.98 x 1024 kg). The satellite…

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Q: While describing a circular orbit 200 mi above the earth, a space vehicle launches a 6000-lb…

A: Radius of the Earth, R = 3958.8 mi = 6.371 ×106 m Distance between the satellite and the Earth’s…

Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 195 km above…

A: Solution: Given data: Mass of the satellite, m = 175 kg, Height of the orbit, h = 195 km =1.95×105 m…

Q: (a) Calculate the work (in MJ) necessary to bring a 104 kg object to a height of 991 km above the…

A: Given data: a). The mass, m2=104 kg The height, h=991 km

Q: Communications engineers attempt to place an artificial satellite of mass m, = 5.19 x 10³ kg in a…

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Q: Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's…

A: Given:- Satellite A is to orbit at an altitude of 5730 km. satellite B is to orbit at an altitude of…

Q: What is the total mechanical energy of the ISS assuming that it's a perfect circular orbit at an…

A: Given,  Mass of ISS, Height of ISS above earth surface,

Q: A 955-kg satellite orbits the Earth at a constant altitude of 103-km. (a) How much energy must be…

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Q: If a planet is in a circular orbit of radius, R, determine the potential energy due to gravity, its…

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Q: What minimum energy is required to take a stationary 3.5 ×103 kg satellite from the surface of the…

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Q: As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly…

A: The amount of the work done needed to carry a unit mass from infinity to a desired point is called…

Q: A 965-kg satellite orbits the Earth at a constant altitude of 109-km. (answers in MJ) (a) How much…

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Q: A space capsule of mass 445 kg is at rest 2.50 ✕ 107 m from the center of the Earth. When it has…

A: Mass of space capsule (m) = 445 kg is at rest 2.50×107 m from the centre of Earth. It has fallen…

Q: towards the planet: (C) What is the acceleration towards the moon? prunet The International Space…

A: Given, Mass of space station (ms) = 4.19×105kg  Space station orbiting at a radius (R) = 6.79×106m…

Q: Consider an infinitesimally thin circular disk of radius R and mass M centered at the origin sitting…

A: (b) Consider a small element on the disk. The mass element be calculated as,…

Q: A 979-kg satellite orbits the Earth at a constant altitude of 97-km. (a) How much energy must be…

A: a)Calculate the initial velocity of the satellite.Write the expression for the initial total energy…

Q: True or false question- The gravitational force exerted by the Sun on the Earth holds the Earth in…

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Q: Two satellites are in circular orbits around a planet that has radius Rp = 9.00 × 106 m. One…

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Q: Consider a large massive spherical shell object. With all of its mass M is distributed at its radius…

A: Newton's law of gravitation states that, every object in the universe attracts every other object…

Q: A star of radius 720000 km and mass equal to that of the Sun has two small planets moving around it…

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Q: A satellite of mass “m” is in a circular orbit of radius 1.5R around the earth of radius R. How much…

A: Given: A satellite of mass “m” is in a circular orbit of radius 1.5R around the earth of radius R.

Q: describe the energy transformations that occur as a satellite orbits earth in a highly elliptical…

A: Given Describe the energy transformations that occur as a satellite orbits earth in a highly…

Q: A 965-kg satellite orbits the Earth at a constant altitude of 109-km. (a) How much energy must be…

A: Given information: The mass of the satellite (m) = 965 kg The initial altitude of the satellite (r)…

Q: Problem 1. A planet with a mass of 7.00x10-" kg is in a circular orbit around a star with a mass of…

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Q: A space capsule of mass 505 kg is at rest 8.00 x 10 m from the center of the Earth. When it has…

A: We know that the potential energy is given as  P.E = mgh  where m is the mass and g is the…

Q: A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the…

A: Given:- rock mass = 19 Kg d= 10 * 6370000 meters initial speed of 5400 m/s  mass of the earth is…

Q: How much energy is required to move a 1400 kg object from the Earth's surface to an altitude twice…

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.