A satellite orbits the Earth in an elliptical orbit. At perigee its distance from the center of the Earth is 22500 km and its speed is 4280 m/s. At apogee its distance from the center of the Earth is 24100 km and its speed is 3990 m/s.       Part A Using this information, calculate the mass (in kg) of the Earth.

Q: ) Assume that a satellite orbits Earth 225 km above its surface. Given that the  mass of Earth is…

A: Answering question 1 The distance from centre of Earth to Satellite is, r=RE+225 km1000 m1 km…

Q: NASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. (a) What is its…

A:

Q: Consider a neutron star with a mass equal to the sun, a radius of 18 km, and a rotation period of…

A: Given: M=Ms=1.99*1030 kgR=18 km=18000 mperiod T = 1.0s

Q: spinning at the correct rate, engineers fire four tangential rockets. Suppose that the satellite has…

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Q: S Imagine that we drill a hole through the center of the earth as shown and drop a small ball down…

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Q: n experiment is performed in deep space with two uniform spheres, one with mass 25.0 g and the other…

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Q: A natural satellite of a distant planet orbits 421,700 km from the planet's center once every 42.5…

A: Consider a satellite having mass m revolving around the planet (mass M) in a circular orbit of…

Q: The space debris left from old satellites and their launchers is becoming a hazard to other…

A: Given: Height of satellite orbit = 590 km size of rivet = 2 mm Mass of rivet = 0.450 g

Q: A satellite of mass 220 kg is placed into Earth orbit at a height of 850 km above the surface. (a)…

A: Mass of satellite (m)=220 kg Height of satellite above earth's surface (h)=850 km Therefore,…

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: At some point along the direct path from the center of the Earth to the center of the Moon, the…

A: Given:

Q: The space debris left from old satellites and their launchers is becoming a hazard to other…

A: Since you have posted a question with subparts more than 3, we have solved first three only as per…

Q: Part A:  How much gravitational potential energy must a 3030-kg satellite acquire in order to…

A: A)the gravitational potential energy is,  Here, r is the radius of geosynchronous orbit.

Q: (a) What is the escape speed on a spherical asteroid whose radius is 624 km and whose gravitational…

A: Given: The radius of the asteroid is 624 km. The acceleration due to gravity on the surface of the…

Q: NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's…

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Q: A satellite of mass m, originally on the surface of the Earth, is placed into Earth orbit at an…

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Q: A planet has a mass of 2.1x1024 kg and travels In a nearly circular orbit around a star as shown.…

A:

Q: NASA is expected to send a 2600-kg satellite 450 km above the earth's surface. (a) What is its…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A satellite is in a circular orbit around the Earth at a distance where the gravitational field is g…

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Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v1 = 45.0 km/s, and v2 =…

A: (a) Compare the gravitational force and centripetal force. FC=FGmpv2R=GmpmsR2v2=GmsR The speed due…

Q: A 2750 kg satellite used in a cellular telephone network is in a circular orbit at a height of 760…

A:

Q: (a) What is the escape speed on a spherical asteroid whose radius is 502 km and whose gravitational…

A: radius , R = 502 km = 502 x 103 m gravitational acceleration , ag = 0.87 m/s2  radial speed , v =…

Q: Section Problem 6 A man-made satellite of mass 6000 kg is in orbit around the earth, making one…

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Q: An asteroid, whose mass is 2.0 * 10-4 times the mass of Earth, revolves in a circular orbit around…

A: The square of the period T of any planet in circular orbits with radius r, Here, M is the mass of…

Q: Assume you are agile enough to run across a horizontal surface at 8.50 m/s, independently of the…

A: It is given that,

Q: a) If the legendary apple of Newton could be released from rest at a height of 4.2 m from the…

A: (a) Using conservation of energy,

Q: An asteroid, whose mass is 2.0 x 104 times the mass of Earth, revolves in a circular orbit around…

A: Given Data Mass of the asteroid is Ma=2.0×10-4 ×Me    (Meis the mass of the Earth) Distance of the…

Q: (a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 144…

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Q: (b) An isolated planet may be assumed to be a uniform sphere of radius 4.21 x 10 m with its mass of…

A: Given, r= 4.21 x 106 m mass=6.42 x 1023  kg

Q: NASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. (a)What is its…

A: The radius will be r=6400km+450km=6850km

Q: B) Consider a satellite of mass m moving in a circular orbit around the Earth at constant speed v…

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Q: (a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 160…

A: a) The radius r will be R(radius of Earth)+h(circular orbit at an altitude) Equating gravitational…

Q: Chapter 05, Problem 36 Z Your answer is partially correct. Try again. A satellite circles the earth…

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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 satellite used in a cellular telephone network has a mass of 2410 kg and is in a circular orbit at…

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Q: (a) Calculate the speed in m/s of a satellite in an orbit 850 km above the Earth's surface. m/s (b)…

A: "Since you have posted a question with multiple sub-parts, as per strict guidelines to us we will…

Q: The spaceship Palomino approaches star XYZ to study it by going into a circular orbit of radius…

A: Given data: Radius of the orbit, R=1.0×107 km = 1.0×1010 m Distance between planet and star,…

Q: A satellite with mass m, = 102 kg orbits the Earth at a height of h = 503 km above the Earth's…

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Q: The Little Prince (a character in a book by Antoine de Saint-Exupery) lives on the spherically…

A: Given that:ρ=5000 kg/m3v=2.20 m/s

Q: A 2,150 kg satellite used in a cellular telephone network is in a circular orbit at a height of 780…

A:

Q: (a) If the legendary apple of Newton could be released from rest at a height of 2 m from the surface…

A: a) The mechanical energy is conserved in the given case, Thus,

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.