269_Physics ProblemsTechnical Physics

269_Physics ProblemsTechnical Physics - Chapter 9(e LM F t...

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Chapter 9 271 (e) x t vdt v t T dt v T t T dt T t e p t e p p p t a f = + = F H G I K J L N M M O Q P P = L N M M O Q P P F H G I K J z z z 0 1 1 0 0 0 ln ln x t v T t T t T t T x t v T t t T v t e p p p p t e p p e a f a f e j = F H G I K J F H G I K J F H G I K J L N M M O Q P P = F H G I K J + 1 1 1 1 0 ln ln (f) With v e = = 1 500 1 50 m s km s . , and T p = 144 s, x t t t = F H G I K J + 1 50 144 1 144 1 50 . ln . a f t x s km 0 20 40 60 80 100 120 132 a f a f 0 2 19 9 23 22 1 42 2 71 7 115 153 . . . . . x (km) 100 0 20 40 60 80 100 120 140 80 60 40 20 0 120 140 160 t (s) FIG. P9.52(f) *P9.53 The thrust acting on the spacecraft is F ma
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