06_InstSolManual_PDF_Part16

06_InstSolManual_PDF_Part16 - m s n 5 ma rad . g F x 5 ma x...

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6.45. Set Up: The mass supported by the hip is Solve: (a) (b) and (c) and 6.46. Set Up: Use coordinates where is upward. At the maximum height, Solve: At the surface of Io, so Now solve for when and gives 6.47. Set Up: Your friend slides toward you when the friction force on her isn’t sufficient to make her turn as you turn. Set and apply to your friend. Set her acceleration equal to that of the car, Solve: (a) In the absence of friction your friend moves in a straight line, so turn to the right, toward her. (b) The free-body diagram for your friend is given in Figure 6.47. Figure 6.47 gives gives and Reflect: The larger the coefficient of friction, the smaller must be the radius of the turn. 6.48. Set Up: The mass of Saturn is When the probe is a distance d from the center of Titan it is a distance from the center of Saturn. Solve: Equal gravity forces means and d 5 1.85 3 10 7 m 5 1.85 3 10 4 km. d 5 Å m T m S 1 1.22 3 10 9 m 2 d 2 5 Å 1.35 3 10 23 kg 5.68 3 10 26 kg 1 1.22 3 10 9 m 2 d 2 5 1 0.0154 21 1.22 3 10 9 m 2 d 2 G mm T d 2 5 G mm S 1 1.22 3 10 9 m 2 d 2 2 1.22 3 10 9 m 2 d m S 5 5.68 3 10 26 kg. R 5 v 2 m s g 5 1 15 m / s 2 2 1 0.55 21 9.80 m / s 2 2 5 42 m. m s mg 5 m v 2 R
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Unformatted text preview: m s n 5 ma rad . g F x 5 ma x n 5 mg . g F y 5 ma y y x mg f s 5 m s n n a rad 5 v 2 r . g F S 5 m a S f s 5 m s n y 2 y 5 v y 2 2 v y 2 2 a y 5 2 1 1.345 3 10 3 m / s 2 2 2 1 2 9.80 m / s 2 2 5 92 km v y 2 5 v y 2 1 2 a y 1 y 2 y 2 a y 5 2 9.80 m / s 2 . v y 5 1.345 3 10 3 m / s y 2 y v y 5 " 2 2 a y 1 y 2 y 2 5 " 2 2 1 2 1.81 m / s 2 21 5.00 3 10 5 m 2 5 1.345 3 10 3 m / s 2 a y 1 y 2 y 2 v y 5 v y 1 g 5 Gm R 2 5 1 6.673 3 10 2 11 N # m 2 / kg 2 21 8.94 3 10 22 kg 2 1 1.815 3 10 6 m 2 2 5 1.81 m / s 2 a y 5 2 g . v y 5 0, 1 y R 5 1.815 3 10 6 m. f k 5 m k n 5 4.2 N. n 5 1 85.25 kg 2 g E 5 835 N f k 5 m k n 5 1 0.0050 21 138 N 2 5 0.69 N n 5 1 85.25 kg 2 g M 5 138 N g M 5 Gm M R M 2 5 1 6.673 3 10 2 11 N # m 2 / kg 2 21 7.35 3 10 22 kg 2 1 1.74 3 10 6 m 2 2 5 1.62 m / s 2 43 kg 5 85.25 kg 1 0.65 21 65 kg 2 1 R M 5 1.74 3 10 6 m. m M 5 7.35 3 10 22 kg, 6-16 Chapter 6...
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