Pre-Calc Homework Solutions 317

Pre-Calc Homework Solutions 317 - Chapter 7 Review dv dt dv...

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Unformatted text preview: Chapter 7 Review dv dt dv , so dx 317 33. F W m mv s Chapter 7 Review Exercises (pp. 413415) 5 5 x 2 x 1 x 2 x 1 v 2 v 1 F(x) dx 1. mv dv dx dx v(t) dt 0 0 (t 2 0.2t 3) dt 0.05t 4 5 1 3 t 3 7 7 10.417 ft 0 mv dv 2. 1 mv 2 2 1 1 2 mv . 2 c(t) dt 0 0 (4 4t 0.001t 4) dt 0.0002t 5 100 1 mv 2 2 2 7 31.361 gal 0 34. Work Change in kinetic energy 100 3. 0 B(x) dx 0 (21 21x e0.03x) dx 33.333e0.03x 100 2 oz 1/8 lb 1 m slug, so 32 ft/sec2 32 ft/sec2 256 1 1 Work (160)2 50 ft-lb. 2 256 1464 0 35. 0.3125 lb 0.3125 lb 0.009765625 slug, and 32 ft/sec2 5280 ft 1 hr 90 mph 90 132 ft/sec, so 1 mi 3600 sec 1 Work change in kinetic energy (0.009765625)(132)2 2 2 2 4. 0 24 (x) dx 0 (11 24 4x) dx 11x t 12 t 12 2x 2 2 14 g 0 5. 0 E(t) dt 0 300 2 300 2t 12 cos sin dt 24 85.1 ft-lb. 36. 1.6 oz Work 37. 2 oz 1.6 oz 1 lb /(32 ft/sec2) 16 oz 14,400 0 6. 0.003125 slug, so 1 (0.003125)(280)2 2 122.5 ft-lb. [ 1, 3] by [ 1, 2] 2 oz 124 mph so Work 38. 14.5 oz Work 39. 6.5 oz Work 40. 2 oz 1 lb 1 /(32 ft/sec2) slug, and 16 oz 256 5280 ft 1 hr 124 mph 181.867 ft/sec, 1 mi 3600 sec 1 1 (181.867)2 64.6 ft-lb. 2 256 The curves intersect at x 1 2 1. The area is 1 0 1 lb 14.5 oz /(32 ft/sec2) 16 oz 1 (0.02832)(88)2 2 0.02832 slug, so x dx 0 1 1 dx x2 1 2 x 2 1 2 1 x 1 2 2 1 109.7 ft-lb. 0.01270 slug, so 7. 1 1. 6.5 oz 1 lb /(32 ft/sec2) 16 oz 1 (0.01270)(132)2 2 110.6 ft-lb. 1 1 lb slug. Compression energy of spring 8 256 1 2 1 1 2 ks (18) 0.5625 ft-lb, and final height is 2 2 4 0.5625 given by mgh 0.5625 ft-lb, so h 4.5 ft. (1/256)(32) [ 4, 4] by [ 4, 4] The curves intersect at x 1 2 and x 1 1. The area is x 1 2 x 2 [3 2 x2 (x 1)] dx ( x2 1 3 x 3 1 3 1 2 2) dx 1 2 2x 2 2 8 3 2 4 9 . 2 ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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