385_Physics ProblemsTechnical Physics

385_Physics ProblemsTechnical Physics - Chapter 13 P13.11...

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Chapter 13 387 P13.11 (a) At the zero-total field point, GmM r GmM r E E M M 22 = so rr M M r r ME M E E E == × × = 736 10 598 10 901 22 24 . . . r r r EM E E E += × = + = × 384 10 346 10 8 8 8 . . . . m m 1.11 m (b) At this distance the acceleration due to the Earth’s gravity is g GM r g E E E E ×⋅ × × 2 11 24 8 2 3 6 67 10 5 98 10 334 10 .. . . Nm kg kg m m s directed toward the Earth 2 ej e j Section 13.4 Kepler’s Laws and the Motion of Planets P13.12 (a) v r T × × 2 23 8 4 4 0 0 1 0 102 10 3 3 π bg m 27.3 86 400 s ms . . (b) In one second, the Moon falls a distance xa t v r t = × × ×= × = 1 2 1 2 1 2 3844 10 1 00 1 35 10 1 35 2 2 2 3 2 8 2 3 . . . af m m m . The Moon only moves inward 1.35 mm for every 1020 meters it moves along a straight-line path. P13.13 Applying Newton’s 2nd Law, Fm a = yields a gc = for each star: GMM
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