What is the change in gravitational potential energy of a 65.5 kg astronaut lifted from Earth’s surface into a circular orbit of altitude 4.50 x 10^2 km?

Q: A 1 043-kg satellite orbits the Earth at a constant altitude of 110-km. (a) How much energy must be…

A: Explanation Gravitational potential energy of a satellite in a orbit is U=-GMmr Kinetic energy of a…

Q: 2. (a) What are meant by gravitational potential and gravitational field? How far away from the…

A: Massive objects possess a gravitational field on other objects. This force is mainly attractive (for…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data:  v= 1.1 X 104 m/s M= 6.04 X 1024 m/s m= 1.2 X 103 kg The radius of orbit R and Universal…

Q: A 375-kg satellite is launched into a circular orbit that has a period of 699 min and a radius of…

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Q: A 1 018-kg satellite orbits the Earth at a constant altitude of 99-km. (a) How much energy must be…

A: Given   A 1 018-kg satellite orbits the Earth at a constant altitude of 99-km. (a) How much energy…

Q: If the gravitational force between two objects of mass M and m, separated by a distancer, has…

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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: Two Martian satellites, A and B, are in circular orbits around Mars’ center. Satellite A orbits at…

A: Given that, RA=4200 kmRB=12.600 kmRM=3389.5 kmM=6.39×1023 kg Therefore, rA=RA+RMrB=RB+RMrA=7589.5…

Q: An object of mass 16.0 kg moves from a height of 38.6 m above the ground to a height of 41.9 m. What…

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Q: A 5000 kg spacecraft is in a circular orbit 2000 km above the surface of Mars. How much work must…

A: Given: The mass of spacecraft is m=5000 kg. The radius of circular orbit is rc=2000 km. The radius…

Q: c energy and speed in circular orbit? (c) What is the Moon’s binding energy to

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Q: If mars has a mass of 6.4 x 1023 kg and a radius of 3.39 x 106m. What is the escape speed needed…

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Q: The block is at rest as shown. What is the peiod of the oscillation if the block is pulled down by…

A: Given:From the figure−mass of the block, m = 100 g = 0.1 kglength of the spring without mass, xo =…

Q: Macmillan Learning In a futuristic scenario, you are assigned the mission of making an enemy…

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Q: A 5.00 kg satellite is launched from the north pole into a circular orbit 800 km above the surface…

A: Given:  Mass of satellite height above the Earth surface Radius of circular orbit To Find:Total…

Q: A space probe is in orbit around Mars at an altitude of 1200 km. To move to a higher orbit, small…

A: Assuming a circular orbit of the satellite, the speed of the satellite at height h above Martian…

Q: What is the gravitational potential energy of Saturn due to the Sun? Assume MSaturn = 5.68×1026 kg,…

A: Given :    Mass of Saturn, Msaturn = 5.68*1026 kg   Mass of Sun, Msun = 2.0*1030 kg    Orbital…

Q: A 405-kg satellite is launched into a circular orbit that has a period of 708 min and a radius of…

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Q: A spacecraft is launched from Cape Canaveral to a 28.3 400 km. We want to reach the ISS, which orbit…

A: On an orbital inclination of 51.6 degrees, the station travels from west to east. Depending on the…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A:

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

A: Given: The mass of the satellite is 975 kg. The altitude is 259 km. The mass of the Earth is…

Q: In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a…

A: Given that the mass of asteroid M = 1.4 × 10¹⁶ kg  and its radius R = 8.20 km  Height of the…

Q: One of your summer lunar space camp activities is to launch a 1010 kg rocket from the surface of the…

A: Given:The mass of the rocket is 1010 kg.The altitude is 209 km.The mass of the moon is .The radius…

Q: Venus is known as the 'Earth's sister' because of its similar size and gravity. It has a mass of…

A: Mass of Venus (M) = 4.87×1024 kg Radius of Venus (R) = 6060 km Mass of satellite (m) = 150 kg

Q: A 1500 kg satellite is in a stable orbit at an altitude of 4.0 × 10 5 m above Earth's surface. What…

A: SOlution: Given that m =1500 kg h= 4.0 × 10 5 m Mearth = 5.97x1024 kg rearth = 6.4x106 m

Q: How much energy is required to lift a 10 kg rock from the surface of the Earth and place it in a…

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Q: (a) Calculate the work (in MJ) necessary to bring a 105 kg object to a height of 1006 km above the…

A: Given data: Mass of the object m =105 kg Height h=1006km=1006×103m The mass of the earth , me =5.98…

Q: a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an…

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Q: A 2660-kg spacecraft is in a circular orbit 1540 km above the surface of Mars. How much work must…

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Q: One of your summer lunar space camp activities is to launch a 1130 kg rocket from the surface of the…

A: Mass of object is The altitude is Mass of moon is Radius of moon is Note:Universal gravitational…

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.