The attractive gravitational force between a spherical body of mass M and another sphericalbody of mass m is given by Ftwo masses, and G is the gravitational constant. You are told that a satellite of small massm orbits the earth (mass M) with a frequency f revolutions per second. You are told thatthe satellite is a distance h above the surface of the earth and the radius of the earth is RE.you are given the values of m, G, f, h and RE. Can we determine the mass of the Earth?What assumptions (if any) do we need to make? Does the mass of the satellite matter?GMm/r2 where r is the distance between the centers of theIf

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

Answered: The attractive gravitational force…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two lead spheres are separated by 0.207 m, centre-to-centre. One sphere has a mass of 5.53 kg. The gravitational attraction between the spheres is 6.06x108N. What is the mass of the other sphere? Express your result in SI units but don't include the units in your answer.
The mass and radius of a planet are M and R, respectively. A satellite of mass m orbits the planet in an elliptical orbit. At its closest position, the altitude of the satellite is 0.5R and its velocity is v. What is the speed of the satellite (in terms of v) at its farthest position, where its altitude is 2R? 0.25v 0.55v 0.45v 0.30v 0.40v 0.60v 0.50v 0.35v
Problem 6: Two satellites are in circular orbits around a planet that has radius 9 x 106 m. One satellite has mass 68.0 kg, orbital radius 7 x 107 m, and orbital speed 4800 m/sec. The second satellite has mass 84.0 kg and orbital radius 3 × 107 m. What is the orbital speed of this second satellite? Answer: 7332.1 m/sec. Problem 7: Planets Beyond the Solar System. On October 15, 2001, a planet was discovered orbiting around the star HD 68988. Its orbital distance was measured to be 1.05 × 1010 m from the center of the star, and its orbital period was estimated at 6.3 days = 5.44 × 105 sec . What is the mass of HD 68988? Express your answer in kilograms and in terms of our sun's mass (Msun =1.99 × 1030 kg) Answer: M = 2.31 × 1030 p kg. = 1.16MSun-
What is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write the answer in terms of km/s.
A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R. a)Calculate the value of PE in joules. b)Enter an expression for the total energy E of the satellite in terms of m and v. c)Calculate the value of the total energy E in joules.
A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the sphere are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 nM. What is the mass of the unknown metal?
Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle. Part A Find the gravitational force of one star on the other. Express your answer in terms of G, M, R. Πν ΑΣφ ? F = Part B Find the orbital speed of each star. Express your answer in terms of G, M, R. να ΑΣΦ7 ? Part C
Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 3.1x10^4 m/s when at a distance of 2.7x10^11 m from the center of the sun, what is its speed when at a distance of 4.7x10^10 m? Mass of the Sun is 1.99×10^30 kg. Gravitational constant is G=6.67×10^(−11) m^3 /(kg⋅s). What is the formula? (Answer: 75006.70209088 m/s)
The International Space Station (ISS) completes one orbit of Earth in 92 minutes. What is the radius of the orbit in kilometers (km)? You may assume the orbit is circular. The mass of the ISS is 420 kg, and the mass of the Earth is 6.0×10246.0×1024kg. Newton’s gravitational constant is 6.7×10−11N⋅m2kg26.7×10−11kg2N⋅m2.
(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)
Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is v| = 225 km/s and the orbital period of each is 11.6 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) M XCM M Part 1 of 3 - Conceptualize From the given data, it is difficult to estimate a reasonable answer to this problem without working through the details and actually solving it. A reasonable guess might be that each star has a mass equal to or slightly larger than our Sun because fourteen days is short compared to the periods of all the Sun's planets. Part 2 of 3 - Categorize The only force acting on each star is the central gravitational force of attraction which results in a centripetal acceleration. When we solve Newton's second law, we can find the unknown mass in terms of the variables…
A sun rays take about 8 minutes to reach the Earth surface travelling at constant speed v= 3,0 * 10^8 m/s. How far is earth from the sun?

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