Ch18-h1-solutions

Ch18-h1-solutions - pan(zp695 Ch18-h1 chiu(56565 This...

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pan (zp695) – Ch18-h1 – chiu – (56565) 1 This print-out should have 37 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points The vectors ± a and ± b both lie in the xz plane. The vector ± c is equal to ± a × ± b. Which oF these statements about ± c must be true? 1. None apply. 2. The y and z components oF ± c are zero. 3. The z and x components oF ± c are zero. correct 4. The x and y components oF ± c are zero. Explanation: ± c is to the plane oF ± a and ± b. Thus, ± c is in the ± y direction. ThereFore, the vector is only nonzero in the y direction. 002 (part 1 of 6) 5.0 points Avector ± C oF magnitude 10 lies along the x axis, and a vector ± D oF magnitude 5 lies in the xy plane, 28 From the x axis (±igure 18.71). ±ind the magnitude and direction oF ± A x ,A y z ² iF ± A = ± C × ± D . x y z 28 C =10 D =5 What is the magnitude and direction oF A x ? Correct answer: 0. Explanation: ± C = ± 10 , 0 , 0 ² and ± D = ± 5cos(28) , 5sin(28) , 0 ² so ± C × ± D = ± ( C y D z - C z D y ) , ( C z D x - C x D z ) , ( C x D y - C y D x ) ² = ± 0 , 0 , 23 . 4736 ² ThereFore, this vector is only in the + z direction and has a magnitude oF 23 . 4736 . 003 (part 2 of 6) 5.0 points What is the magnitude and direction oF A y iF ± A = ± C × ± D ? Correct answer: 0. Explanation: See Explanation 1. 004 (part 3 of 6) 5.0 points What is the magnitude and direction oF A z iF ± A = ± C × ± D ? Correct answer: 23 . 4736. Explanation: See Explanation 1. 005 (part 4 of 6) 5.0 points What is the magnitude and direction oF A x iF ± A = ± D × ± C ? Correct answer: 0. Explanation: ± D × ± C = - ± C × ± D = ± 0 , 0 , - 23 . 4736 ² ThereFore, this vector is only in the - z direction and has a magnitude oF 23 . 4736 . 006 (part 5 of 6) 5.0 points What is the magnitude and direction oF A y iF ± A = ± D × ± C ? Correct answer: 0. Explanation: See Explanation 4.
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pan (zp695) – Ch18-h1 – chiu – (56565) 2 007 (part 6 of 6) 5.0 points What is the magnitude and direction of A z if ± A = ± D × ± C ? Correct answer: - 23 . 4736. Explanation: See Explanation 4. 008 (part 1 of 3) 10.0 points ± A = ± 6 , 7 , - 2 ²×±- 5 , - 4 , 6 ² What is A x ? Correct answer: 34. Explanation: ± A = ± 6 , 7 , - 2 5 , - 4 , 6 ² = ± [(7)(6) - ( - 2)( - 4)] , [(7)( - 5) - (6)(6)] , [(6)( - 4) - (7)( - 5)] ² = ± 34 , - 26 , 11 ² 009 (part 2 of 3) 10.0 points What is A y ? Correct answer: - 26. Explanation: See Explanation 1. 010 (part 3 of 3) 10.0 points What is A z ? Correct answer: 11. Explanation: See Explanation 1. 011 (part 1 of 3) 10.0 points ± A = ± v × ˆ r .F ind ± A if ± v = ± 430 , - 450 , 333 ² m/s and ˆ r = ± 0 . 577 , 0 . 577 , - 0 . 577 ² . What is A x ? Correct answer: 67 . 509 m / s. Explanation: ± A = ± v x ,v y z ²×± r x ,r y z ² = ± ( v y · r z - v z · r y ) , ( v z · r x - v x · r z ) , ( v x · r y - v y · r x ) ² = ± ( - 450)( - 0 . 577) - (333)(0 . 577) , ( - 450)(0 . 577) - (430)( - 0 . 577) , (430)(0 . 577) - ( - 450)(0 . 577) ² = ± 67 . 509 m / s , 440 . 251 m / s , 507 . 76 m / s ² 012 (part 2 of 3) 10.0 points What is A y ? Correct answer: 440 . 251 m / s. Explanation: See Explanation 1. 013 (part 3 of 3) 10.0 points What is A z ?
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This note was uploaded on 02/21/2012 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas.

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Ch18-h1-solutions - pan(zp695 Ch18-h1 chiu(56565 This...

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