A 1950 kg weather satellite moves in a circular orbit with a gravitational potential energy of 1.69 x 1015 J with respect to Earth’s surface. At its location, free-fall acceleration is only 6.44 m/s2 . How high above Earth’s surface is the satellite?

Q: 1 034-kg satellite orbits the Earth at a constant altitude of 95-km. (a) How much energy must be…

A: Given, mass of satellite, m = 1034 kg radius of earth, r = 6371 km r1= 95 km+6371 km = 6466 km r2=…

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 mass M is split into two parts, m and M - m, which are then separated by a certain distance. What…

A: The gravitational potential energy(U) for a system of two masses m1 and m2 separated by a distance…

Q: A spacecraft of mass m moves around Earth in a circular orbit with a constant radius r at constant…

A: Given data: Mass of spacecraft is, m. Radius of circular orbit is, r.

Q: A 15 kg boy falls out of his bed, a height of 0.50 m.  The amount of gravitational potential energy…

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Q: What is the variation of the gravitational potential energy of the Earth in orbit around the Sun…

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Q: Zero, a hypothetical planet, has a mass of 4.4 x 1023 kg, a radius of 2.7 x 106 m, and no…

A: Since in the planet Zero has no atmosphere, there will not be any loss of energy due to friction or…

Q: A satelite is in geostationary orbit. How much energy is required to move it to a circular orbit…

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

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

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Q: An astronaut, with a total weight on Earth of 1.2 x 103 N, including the space suit, is about to…

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Q: Consider a uniform rod of mass 30 kg and length 1.7 m.  The rod is pinned at one end and allowed to…

A: SOution: Givent that Mass = M=30 kg Length =l = 1.7 m Angle = θ = 44 degree

Q: The space shuttle releases a 470-kg communications satellite while in an orbit 280 km above the…

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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: (a) The expression to solve for the orbital speed of the satellite is as follows:…

Q: A 2,000-kg minivan is traveling on level ground at a constant speed of 10 m/s in a circle of radius…

A: Given data: Mass (m) = 2000 kg Speed (v) = 10 m/s Radius of circular path (r) = 50 m Required: Work…

Q: An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 1.00×10ª kg.…

A: The work done by the Moon's gravitational field can be evaluated through the change in potential…

Q: A 415kg satellite orbiting the earth experiences 215N of gravitational force from the Earth.…

A: Ms = 415 kg F = 215 N RE = 6.38 x 106 m ME = 5.97 x 1024 kg H = ? U = ? 6.673×10−11N

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: How much gravitational potential energy (relative to the ground on which it is built) is stored in…

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Q: Jupiter orbits the Sun at a radius of about 7.8×108 km.7.8×108 km. At this distance the force of…

A: Given :  Radius of orbit of Jupiter , R = 7.8×108 km Force on the Jupiter due to Sun, F = 4.2×1023 N…

Q: Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v, =…

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Q: satellite (m=7420 kg) with an elliptical orbit has a speed of 2820 m/s at the apogee and 8450 m/s at…

A: Given data uP=8450 m/suA=2820 m/sm=7420 kg

Q: How much gravitational potential energy (relative to the ground on which it is built) is stored in…

A: Given: The mass of the pyramid is 9x109 kg. The height of the center of mass of the pyramid is 42 m…

Q: 4. A 1750 kg weather satellite moves in a circular orbit with a gravitational potential energy of…

A: 4)  m= 1750kg  g= 6.44 m/s2  GPE = 1.69×1010 J

Q: A rocket is fired straight up, and it burns out at an altitude of 250 km when traveling at 6.00 km/s…

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…

A:

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

A:

Q: 1. An object with a mass of 2.50kg is placed on a table top that is 0.95m high. Then it is raised…

A: Given data:  Mass (m) = 2.50 kg Height of table = 0.95 m Height of shelf above the table top = 1.5 m…

Q: A 1 048-kg satellite orbits the Earth at a constant altitude of 98-km. (a) How much energy must be…

A: Given :- mass of satellite = 1048 Kg altitude = 98 km earth radius = 6371 km

Q: A 1750 kg weather satellite moves in a circular orbit with a gravitational potential energy of 1.69x…

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Q: For a satellite orbiting the earth, the distance D from the center of the Earth is a power function…

A: The relation between the distance from the center of the Earth and the period of the satellite is…

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

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Q: •39 SSM (a) What is the escape speed on a spherical asteroid whose radius is 500 km and whose…

A: In the question they have asked her what is  the escape speed of a spherical asteroid whose radius…

Q: A cylinder was dropped vertically from rest in a very high, evacuated tube near the surface of the…

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Q: The mass of the Earth is 5.97× 10ª kg. Our moon has a mass of 7.35 x 10 kg and a radius of 1.74 x…

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

Q: In a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a…

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Q: An 8000 kg satellite is launched from the surface of the Earth and injected into a circular orbit at…

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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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Q: A satellite with mass 898 kg is in a circular orbit with an orbital speed of 5840 m/s around the…

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Q: A spacecraft of mass 1.00 × 10^3 kg orbits the sun (mass 1.99 * 1030 kg) in a circular orbit of…

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

Q: A space vehicle is launched vertically upward from the Earth's surface with an initial speed of 7.35…

A: Given data:Initial speed of the space vehicle, Vi = 7.35 km/s = 7.35 x 103 m/sEscape speed, Vesc =…

Q: A satellite has a mass of 94 kg and is located at 2.04  106 m above the surface of Earth. (a) What…

A: Given:  mass of satellite, m = 94 kg  height, h = 2.04 x 106 m mass of earth, M = 5.9 x 1024 kg…

Q: A Satellite in an elliptical orbit is moving from position A, where its Kinetic energy is 15 MJ and…

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

A: Given data:  Mass of ball (m) = 0.012 kg Radius of circular path (r) = 0.22 m Centripetal force (Fc)…

Q: A satellite orbits a planet of unknown mass in a circle of radius 2.0 * 10^7 m. The magnitude of the…

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Q: a. Planet Alpha has a mass of 2.34 x 1025 kg and a radius of 5.67 × 107 m. What is the gravitational…

A: Given data: Mass of the planet Alpha m=2.34×1025 kg Radius r =5.67×107 m

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.