Part A:  How much gravitational potential energy must a 3030-kg satellite acquire in order to attain a geosynchronous orbit?  Part B:  How much kinetic energy must it gain? Note that because of the rotation of the Earth on its axis, the satellite had a velocity of 456 m/s relative to the center of the Earth just before launch.

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:…

Q: A satellite of mass m=4,790 kg orbits Earth (ME=5.98x10^24 kg, RE=6.4x10^6 m) at a velocity…

A:

Q: A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours,…

A: Given that a satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period…

Q: Two Earth satellites, A and B, each of mass mmm = 940 kg, are launched into circular orbits around…

A: Given : m = 940 kg rA = 4500 km = 4.5 x 106 m rB = 11100 km = 1.11 x 107 m

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

A:

Q: At what height (in km) above the surface of Earth would the gravitational acceleration be 8.3 m/s^2?

A: Given: The gravitational acceleration at some height is 8.3 m/s2. Introduction: The acceleration due…

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

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Q: A geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in…

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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: At what altitude above Earth’s surface would the gravitational acceleration be 4.9 m/s2?

A: The gravitational force between the Earth M and any mass m,

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

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

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: 40. What is the change in gravitational potential energy of a 65.5 kg astronaut lifted from Earth's…

A:

Q: At what altitude above Earth's surface would the gravitational acceleration be 3.5 m/s??

A: Given: Gravitational acceleration, a = 3.5 m/s2.   To Find: The altitude at which the Gravitational…

Q: Find the escape velocity that a 1500 kg satellite needs to escape from the Solar System from Earth…

A:

Q: A satellite of mass 1000 kg is supposed to orbit the earth at a height of 2000 km above the earth's…

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Q: A particular satellite was placed in a circular orbit about 228 mi above Earth. (a) Determine the…

A: Given: Radius of orbit of satellite above earth surface = 228 mi. = 366.93 km.

Q: How much work is required to move a 1550 kg satellite from a circular orbit with an altitude of 105…

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Q: ed required for a satellite moving in a circular orbit 550.0 km above the surface of the Earth.…

A: Given:- A satellite moving in a circular orbit = 550 km above the earth surface  mEarth = 5.98 ×…

Q: A particular satellite was placed in a circular orbit about 678 mi above Earth. (a) Determine the…

A: It is given that,  h=678 mi=(678×1609) m=1.091×106 m Radius of satellite's orbit is,…

Q: At what altitude above Earth's surface would the gravitational acceleration be 6.47 m/s2?

A:

Q: An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 1.00x104 kg.…

A: 1)Change in gravitational potential energy = - GMm/R  = -6.67 * 10-11 * 6 * 1024 * 104/(6378000) = -…

Q: A comet orbits the sun (mass m_S) in an elliptical orbit of semi-major axis a and eccentricity e…

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Q: (f 601) N

A: Calculating the minimum velocity (escape) on the basis of kinetic energy

Q: A 120 kg space satellite moves in a circular orbit of 400 km above Moon's surface with a period of…

A:

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

A:

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

A: The radius of Earth, The gravitational force, The rotational force,

Q: A 2.00 x 102 kg satellite is in circular orbit at a height of 6.00 x 102 km above the earth’s…

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Q: The work done in one complete revolution of the moon around the earth is equal to: A) centripetal…

A: The necessary force required for the revolution of the moon around the Earth is provided by the…

Q: At what height above Earth is the gravitational acceleration equal to 4.9 m/s^2 ?

A:

Q: What is the kinetic energy of a satellite of mass m that orbits the Earth, of mass M, in a circular…

A: For circular motion of satellite  the centripetal force must be balance by gravitational force. so…

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Given: Closest distance of comet from sun, r1 = 4.9×1010 m with speed, v1 = 9.3×104 m/s Farthest…

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

A:

Q: A satellite is in orbit above a planet. Which of the following is TRUE? 1. The total energy of the…

A: The answer is below

Q: It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero…

A: Consider a satellite of mass m orbiting around it at a distance r from the planet of mass M. For the…

Q: An earth-like planet with a mass of 6.00×1024 kg has a space station of mass 4.60×104 kg orbiting it…

A: M = 6x1024 kg m = 4.6x104 kg r = 5x105 km G = 6.7x10-11 Nm2/kg

Q: A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours,…

A:

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: From #2, how much additional energy would that 1500 kg satellite need to escape from the Solar…

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Q: A satellite moves in a circular orbit around Earth at a speed of (a) Determine the satellite's…

A: Given data *The satellite is moving with a speed is v = 4381 m/s (a) The expression for the speed…

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 particular satellite was placed in a circular orbit about 216 mi above Earth. (a) Determine the…

A: According to Newton's Law of Gravitation, the force of attraction between two masses is directly…

Q: An asteroid with mass m = 1.00 x 10^9 kg comes from deep space, effectively from infinity, and falls…

A: Given: Mass of the asteroid = m = 109 kg Distance from the center of the earth = r = 4×108 m Mass of…

Q: An Earth satellite has an elliptical orbit described by (as shown in the pic.) (All units are in…

A: Given:- An Earth satellite has an elliptical orbit            The coordinates of the center of Earth…

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.