A spacecraft was following an elliptical orbit around a planet that has a mass of 3 × 10^22 kg. It was moving at 2000 m/s at point 1 that is 500 km from the center of the planet. Later when it moved to point 2, it was moving at

Q: An earth satellite in a circular orbit 300 mi above the surface of the earth makes a complete…

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Q: The mass of the earth is 5.972 x 1024 kg, while the mass of the moon is 7.34767309 x 1022 kg. The…

A: The gravitational force between two object is directly proportional to the product of there masses…

Q: f a Spacex Starlink satellite orbits the Earth at a height of 326.85 km above the Earth's surface…

A: Solution: Given that Earth's radius r= 6370 km = 6370x 103 m Earth's mass m = 5.98 x1024 kg G=6.67x…

Q: A 500 kg mass is released at rest from a distance of two Earth radii above the surface of the Earth.…

A: As per the law of conservation of energy, the total energy (E) of the mass at distance of two Earth…

Q: In a certain binary-star system, each star has the a mass of 1.08 x 1030 kg, and they revolve about…

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Q: Two spherical objects have masses of 3.1 x 10^5 kg and 6.5 x 10^3 kg. The gravitational attraction…

A: Using formula for gravitational force between two masses : m and M , separated by distance d F =…

Q: An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the…

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Q: The International Space Station is in a 270-mile-high orbit. What is the station's orbital speed?…

A: Given: The height (h) of the orbit of the international space station from the earth is 270 miles.…

Q: Two planets in circular orbits around a star have speeds of v and 7v. (a) What is the ratio of the…

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Q: Three identical very dense masses of 5600kg each are placed on the x axis. One mass is at x1=-110cm,…

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Q: The orbit of mars about the sun is elliptical with the sun at one focus. If the minor axis of this…

A: Given, The orbit of mars about the sun is elliptical with the sun at one focus. Minor axis, b =…

Q: The attractive gravitational force between a spherical body of mass M and another spherical body of…

A: ω=2πf  Acceleration of satellite = ω2r r = radius of revolution = RE+h  Force experienced by…

Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 × 1011…

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Q: A planet has a mass of 1.5 times the mass of the Earth and a radius that is 2 times the radius of…

A: (a) According to Kepler’s Third law, T2=4π2GMr3   Use the given values,…

Q: A rocket is launched vertically at 3.1 km/sec. How high does it go? Neglect air drag.   ( Radius of…

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

A: Consider a satellite having mass m orbiting around a planet in radius R with speed v and the…

Q: there is satellite orbits around a planet with a mass of 6.75x10*25 kg in a circular radius of 2.0 x…

A: Given:Mass,M=6.75x1025 kg circular radius,R= 2.0 x 108 mG= 6.67 × 10-11m3/kgs2Find the orbital speed…

Q: One of your summer lunar space camp activities is to launch a 1170 kg rocket from the surface of the…

A: The expression for the required gravitational potential energy,

Q: A planet travels in a circular orbit around a star. The radius of the circular orbit is 1.45x10^11 m…

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Q: A planet has a mass of 4.0 × 1024 kg and a radius of R = 5.0 × 106 m. A cannon on the planet's…

A: Given that a planet has a mass of 4.0 × 1024 kg  radius = R = 5.0 × 106 m Let V be the speed at  the…

Q: identical planets with the same mass as that of Earth are positioned in a circle such that any two…

A: Let the six planet be A,B,C,D,E,F. Say these planets have circular motion about centre of circle.…

Q: A satellite is held in orbit that is 310 km above the surface of the Earth by a gravitational force…

A: Given: The height of the satellite from the earth's surface is 310 km. The gravitational force is…

Q: The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a…

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Q: The mass of the earth is 81% the mass of the moon. The distance between the centres of the earth and…

A: Taking the origin at the centre of mass, m1r→1+m1r→2m1+m2=0m1r→1+m1r→2=0

Q: An astronaut exploring a distant solar system lands on a planet with with a radius of 2,360 km and a…

A: Given data The radius of the planet is given as r = 2360 km. The gravitational acceleration is…

Q: 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth. A 30.0…

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Q: rocket is launched vertically at 3.1 km/sec. How high does it go? Neglect air drag.   ( Radius of…

A: rocket is launched vertically at 3.1 km/sec. How high does it go? Neglect air drag.   ( Radius of…

Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…

A: mass of milky way (m) = 8×1011 solar masses = 8×1011×2×1030kg = 16×1041 kg distance (d) = 5.6×104…

Q: The mass of the Earth is 5.98 x 1024 kg, and the mass of the Moon is 7.36 x 1022 kg. The distance…

A: The center of mass of the earth-moon system is X and is given as, X=earth massearth distance+moon…

Q: A binary star system has two stars, both with a mass of 3.6 x 102 kg separated by 6.2 x 1010 meters.…

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Q: In the problems below, “little g” plays a variety of roles. Near the earth’s surface, g has a value…

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Q: objects have masses of 1.5 x 10^5 kg and 8.5 x 10^2 kg. Their centers are separated by a distance of…

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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: Two planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of…

A: Given that,Radius r1 of orbit for planet m1=1×1011 mRadius r2 of orbit for planet m2=1.8×1011 mTime…

Q: A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at…

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Q: A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at…

A: (a)  The total energy at the planet’s surface is the sum of its potential and the kinetic energy.The…

Q: A satellite circles the earth in an orbit whose radius is 4.88 times the earth's radius. The earth's…

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Q: A small astronomical object falls toward the Mars. It starts from rest with respect to the Mars when…

A: H = 5220 km R = 3390 KmM = 6.39 * 1023 Kg

Q: An earth satellite moves in a circular orbit with an orbital speed of 6300 m/s. PART A.) Find the…

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Q: Consider the Earth's orbit around the Sun to be circular with radius R = 9.30 x 107 mi and it takes…

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Q: You are a visitor aboard the New International Space Station, which is in a circular orbit around…

A: Orbital speed =(GM/r )1/2  G = Gravitational constant  M = mass of earth  r = orbital radius

Q: Satellite X of mass m orbits planet X of mass M at a center-to-center distance r. Satellite Y or…

A: Given:for system Xmass of satellite = mmass of planet = Mdistance between them = rfor system Ymass…

Q: A planet of mass ?=2.85×1024 kg orbits a star of mass ?=6.85×1029 kg in a circular path. The radius…

A: Given Mass of the Star is M=6.85×1029  kg Radius of the orbit is R=7.45×107 km=7.45×1010 m Universal…

Q: You are the science officer on a visit to a distant solar system. Prior to landing on a planet you…

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Q: An extrasolar planet has mass 1.27E+25_kg and radius 67400000_m. What is the escape speed for this…

A: given that the mass of planet is 1.27*10^25 kg and radius is 67400000 m.

Q: An object of mass m is released from rest a distance R above the surface of a planet of mass M and…

A: According to the principle of conservation of energy, the total energy of the object must be…

Q: A satellite is orbiting the earth in low orbit (160 km above the surface of the earth). If the…

A: Given:Distance between the earth’s surface and satellite = 160 kmMass of the earth = 5.972 X 10 24…

Q: A planet of mass 4.00  1024 kg is at location < -8.00  1011, 2.00  1011, 0 > m. A star of mass…

A: Using Newton’s law of gravitation,

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.