Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.03 x 10ʻ m/s. The mass of the planet is M = 5.94 x 1024 kg. The mass of the satellite is m = 8.2 x 103 kg. V R ...... Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Expression : KE = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g. G, h, i, j, m, M, P, R, t, v Part (b) Calculate the value of KE in joules. Numeric : A numeric value is expected and not an expression. KE = Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Expression : F = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g. G, h, i,j, m, M, P, R, t, v Part (d) Enter an expression for the centripetal acceleration of the satellite a, in terms of the speed of the satellite, v, and R. Expression : a. = Select from the variables below to write your expression. Note that all variables may not be required. ,a, ß. y. 0, d, g. G, h, i, j, k, m, M, n, P. R, S, t, v

Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.03 x 10ʻ m/s. The mass of the planet is M = 5.94 x 1024 kg. The mass of the satellite is m = 8.2 x 103 kg. V R ...... Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Expression : KE = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g. G, h, i, j, m, M, P, R, t, v Part (b) Calculate the value of KE in joules. Numeric : A numeric value is expected and not an expression. KE = Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Expression : F = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g. G, h, i,j, m, M, P, R, t, v Part (d) Enter an expression for the centripetal acceleration of the satellite a, in terms of the speed of the satellite, v, and R. Expression : a. = Select from the variables below to write your expression. Note that all variables may not be required. ,a, ß. y. 0, d, g. G, h, i, j, k, m, M, n, P. R, S, t, v

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 9OQ

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What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
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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. a)Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules. b)Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. c)Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v, and R.
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