The space shuttle releases a 470-kg communications satellite while in an orbit 280 km above the surface of the Earth. A rocket engine on the satellite boosts it into a geosynchronous orbit, which is an orbit in which the satellite stays directly over a single location on the Earth. How much energy does the engine have to provide?

Q: 1.The planet Mercury has a mass of 3.30×1023 kilograms (kg) and a radius of 2440 kilometers (km).…

A: (a) The gravitational field strength of the planet Mercury is as follows:…

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Q: A satellite of mass 20000 Kg orbits the earth along a path of long 3 x 108 m calculate: a) The…

A: Given- Mass of satellite, ms = 20000 kg = 2 ×104 kg Length of path l = 3 x 108 m Gravitational…

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Q: A woman with a mass of 70 kg climbs a set of stairs that are h = 3 m high. How much gravitational…

A: The  expression for the gravitational potential energy is, Egrav=mgh           (I)…

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A: Given  Period of new orbit T' = 8 days Known Values Geo stationary orbit radius r = 4.2 x 107 m the…

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A: Assume the mass of the Sun as M=1.989×1030 kg Assume the mass of the comet is denoted by mc. The…

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Q: 2. A satellite of mass 190 kg is placed into an orbit around Earth at a height of 700 km above the…

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Q: An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 2.00×104 kg.…

A: The change in the gravitational energy of the asteroid can be determined as follows.…

Q: A 3.25 x 1019kg space station has a gravitational acceleration of 4.1 m/s/s from Earth. How far away…

A: Acceleration due to gravity is given by  g=GM/R^2

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A: Given Data  R = 6.37×106M = 5.98×1024G = 6.67×10-11N.m2kg2

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

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Q: Can you help me on p. 7.39

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Q: An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial…

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A: Given : Mass of a satellite (m) = 243 kg

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Q: Ina shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: NOTE: According to the guidelines only 3 sub parts will be answered and for remaining ,please post…

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

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Q: A 1950 kg weather satellite moves in a circular orbit with a gravitational potential energy of 1.69…

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Q: A satellite is held in orbit by a 2 000-N gravitational force. Each time the satellite completes an…

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A: Given Mass of earth: Me = 5.97 x 1024 kg Mass of moon: Mm = 7.35 x 1022 kg Radius of moon: Rm =…

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A: The answer is below

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A: Given data The mass of the satellite is m = 150 kg The altitude of the circular orbit is H = 310 km…

Q: 17. A 50-kg firefighter is on a ladder 10 m above the ground. When the firefighter descends 5 m…

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A: Given: The mass (m) of the spacecraft is 103 Kg. The mass (M) of the sun is 1.99×1030 Kg.…

Q: Calculate the work done by the force of gravity when a satellite moves in an orbit of radius 40,000…

A: Work done by the force of gravity is given by,  Work done =F×S cosθF = forceS = displacementθ =…

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Q: Denisse is playing a pinball machine. she notices that the 0.012 kg ball is shot from the plunger…

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Q: - A 2.0-kilogram mass falls freely for 10. meters near the surface of Earth. The total kinetic…

A: Given data:  Mass (m) = 2.0 kg Initial velocity (Vi) = 0 m/s Height (h) = 10 m Required: Gain in…

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.