A spherical asteroid with radius r = 123 m and mass M = 2.25 × 1010kg rotates about an axis at four revolu- tions per day. A “tug" spaceship attaches itself to the asteroid's south pole (as defined by the axis of rotation) and fires its engine, applying a force F tangentially to the asteroid's surface as shown in Fig. 8–65. If F = 285 N, how long will it take the tug to r = 123 m rotate the asteroid's axis of rotation through an angle of 5.0° by this method? FIGURE 8–65 F = 285 Ni Problem 93.

Classical Dynamics of Particles and Systems
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Author:Stephen T. Thornton, Jerry B. Marion
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Chapter8: Central-force Motion
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Problem 8.16P
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A spherical asteroid with radius r = 123 m and mass
M = 2.25 × 1010kg rotates about an axis at four revolu-
tions per day. A “tug" spaceship
attaches itself to the asteroid's
south pole (as defined by the
axis of rotation) and fires
its engine, applying a
force F tangentially to
the asteroid's surface as
shown in Fig. 8–65. If
F = 285 N, how long
will it take the tug to
r = 123 m
rotate the asteroid's
axis of rotation through
an angle of 5.0° by this
method?
FIGURE 8–65
F = 285 Ni
Problem 93.
Transcribed Image Text:A spherical asteroid with radius r = 123 m and mass M = 2.25 × 1010kg rotates about an axis at four revolu- tions per day. A “tug" spaceship attaches itself to the asteroid's south pole (as defined by the axis of rotation) and fires its engine, applying a force F tangentially to the asteroid's surface as shown in Fig. 8–65. If F = 285 N, how long will it take the tug to r = 123 m rotate the asteroid's axis of rotation through an angle of 5.0° by this method? FIGURE 8–65 F = 285 Ni Problem 93.
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