In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg, in a circular orbit of radius r= 4.70 x 107 m. What are (a) the period of the orbit and (b) the speed of the shuttle craft? Janeway briefly fires a forward-pointing thruster, reducing her speed by 2.40%. Just then, what are (c) the speed, (d) the kinetic energy, (e) the gravitational potential energy, and (f) the mechanical energy of the shuttle craft? (g) What is the semimajor axis of the elliptical orbit now taken by the craft? (h) What is the difference between the period of the original circular orbit and that of the new elliptical orbit? (i) Which orbit has the smaller period? (a) Number i Units (b) Number i Units (c) Number i Units

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 7PQ: Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest...
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In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg, in a circular orbit of radius r = 4.70 x
107 m. What are (a) the period of the orbit and (b) the speed of the shuttle craft? Janeway briefly fires a forward-pointing thruster,
reducing her speed by 2.40%. Just then, what are (c) the speed, (d) the kinetic energy, (e) the gravitational potential energy, and (f) the
mechanical energy of the shuttle craft? (g) What is the semimajor axis of the elliptical orbit now taken by the craft? (h) What is the
difference between the period of the original circular orbit and that of the new elliptical orbit? (i) Which orbit has the smaller period?
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
Units
i
(e) Number
Units
i
(f) Number
Units
i
(g) Number
MacBook Pro
Transcribed Image Text:In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg, in a circular orbit of radius r = 4.70 x 107 m. What are (a) the period of the orbit and (b) the speed of the shuttle craft? Janeway briefly fires a forward-pointing thruster, reducing her speed by 2.40%. Just then, what are (c) the speed, (d) the kinetic energy, (e) the gravitational potential energy, and (f) the mechanical energy of the shuttle craft? (g) What is the semimajor axis of the elliptical orbit now taken by the craft? (h) What is the difference between the period of the original circular orbit and that of the new elliptical orbit? (i) Which orbit has the smaller period? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units Units i (e) Number Units i (f) Number Units i (g) Number MacBook Pro
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