06_InstSolManual_PDF_Part21

# 06_InstSolManual_PDF_Part21 - Circular Motion and...

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6.59. Set Up: The planet has mass and density The volume of a sphere is Solve: (a) so (b) Reflect: so g is proportional to for planets of the same density. m is larger by a factor of 14 compared to earth, so g is larger by a factor of 6.60. Set Up: On earth, On Mars, The artificial gravity acceleration is Solve: (a) (b) (c) The free-body diagram is given in Figure 6.60. The diagram is drawn for when the rim of the station is to the right in the figure. Figure 6.60 6.61. Set Up: The earth has mass radius and rotational period Use coordinates for which the direction is toward the center of the earth. The free- body diagram for Sneezy at the equator is given in Figure 6.61. Figure 6.61 Solve: At the north pole Sneezy has and the gravitational force exerted by the earth. Sneezy has mass w / g 5 48.47 kg. T 5 w 5 475.0 N, a 5 0 x y w 5 mg T a rad 1 y T 5 24 hr 5 8.64 3 10 4
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Unformatted text preview: 3 10 4 s. R E 5 6.38 3 10 6 m m E 5 5.97 3 10 24 kg, y x n a rad v 5 " rg M 5 "1 400.0 m 21 3.71 m / s 2 2 5 38.5 m / s v 5 " ra rad 5 " rg 5 "1 400.0 m 21 9.80 m / s 2 2 5 62.6 m / s r 5 400.0 m a rad 5 v 2 / r . g M 5 G m M R M 2 5 1 6.673 3 10 2 11 N # m 2 / kg 2 2 6.42 3 10 23 kg 1 3.40 3 10 6 m 2 2 5 3.71 m / s 2 . g E 5 g 5 9.80 m / s 2 . 1 14 2 1 / 3 . m 1 / 3 g 5 Gm 1 4 pr 3 m 2 2 / 3 5 G 1 4 pr 3 2 2 / 3 m 1 / 3 , g 5 G m R 2 5 1 6.673 3 10 2 11 N # m 2 / kg 2 21 8.36 3 10 25 kg 2 1 1.54 3 10 7 m 2 2 5 23.5 m / s 2 5 2.4 g R 5 1 3 m 4 pr 2 1 / 3 5 S 3 1 8.36 3 10 25 kg 2 4 p 1 5.5 3 10 3 kg / m 3 2 T 1 / 3 5 1.54 3 10 7 m r 5 m V 5 m 4 3 p R 3 V 5 4 3 p R 3 . r 5 5.5 3 10 3 kg / m 3 . 14 m E 5 8.36 3 10 25 kg Circular Motion and Gravitation 6-21...
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