1 vector solutions - liu (ql744) vec rev chiu (56565) This...

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This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 of 7) 3.0 points Aprotonislocatedat: ± 4 × 10 - 10 m , - 7 × 10 - 10 m , 5 × 10 - 10 m ² . ±ind ± r ,th eloca t iono Fth ep ro tonF romth e origin where ± r = ± r x ,r y z ² . What is r x in meters? Your answer must be within ± 5.0% Correct answer: 4 × 10 - 10 m. Explanation: The position oF the proton is the vector From the origin to the location oF the proton. In this case: ± 4 × 10 - 10 m , - 7 × 10 - 10 m , 5 × 10 - 10 m ² 002 (part 2 of 7) 3.0 points What is r y in meters? Your answer must be within ± 5.0% Correct answer: - 7 × 10 - 10 m. Explanation: The position oF the proton is the vector From the origin to the location oF the proton. In this case: ± 4 × 10 - 10 m , - 7 × 10 - 10 m , 5 × 10 - 10 m ² 003 (part 3 of 7) 3.0 points What is r z in meters? Your answer must be within ± 5.0% Correct answer: 5 × 10 - 10 m. Explanation: The position oF the proton is the vector From the origin to the location oF the proton. In this case: ± 4 × 10 - 10 m , - 7 × 10 - 10 m , 5 × 10 - 10 m ² 004 (part 4 of 7) 2.0 points What is | ± r | in meters? Your answer must be within ± 5.0% Correct answer: 9 . 48683 × 10 - 10 m. Explanation: The magnitude oF ± r is Found by: | ± r | = ± r 2 x + r 2 y + r 2 z where: r x =4 × 10 - 10 m r y = - 7 × 10 - 10 m r z =5 × 10 - 10 m thereFore: | ± r | =9 . 48683 × 10 - 10 m 005 (part 5 of 7) 3.0 points What is ˆ r x ,the x component oF the unit vector in the direction oF ± r ? Your answer must be within ± 5.0% Correct answer: 0 . 421637. Explanation: The unit vector has the Form: ˆ r = ± r | ± r | . This means that the x component oF the unit vector is: ˆ r x = r x | ± r | = 4 × 10 - 10 m 9 . 48683 × 10 - 10 m =0 . 421637 006 (part 6 of 7) 3.0 points What is ˆ r y y component oF the unit vector in the direction oF ± r ? Your answer must be within ± 5.0% Correct answer: - 0 . 737865. Explanation: The unit vector has the Form: ˆ r = ± r | ± r | .
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This means that the y component of the unit vector is: ˆ r y = r y | ± r | = - 7 × 10 - 10 m 9 . 48683 × 10 - 10 m = - 0 . 737865 007 (part 7 of 7) 3.0 points What is ˆ r z ,the z component of the unit vector in the direction of ± r ? Your answer must be within ± 5.0% Correct answer: 0 . 527046. Explanation: The unit vector has the form: ˆ r = ± r | ± r | . This means that the z component of the unit vector is: ˆ r z = r z | ± r | = 5 × 10 - 10 m 9 . 48683 × 10 - 10 m =0 . 527046 008 (part 1 of 5) 10.0 points Ap lanetislocatedat ± P = ±- 4 × 10 10 , 8 × 10 10 , - 5 × 10 10 ² . Astarislocatedat ± S = ± 7 × 10 10 , - 6 × 10 10 , 5 × 10 10 ² . What is ± R ,thevectorpo int ingfromthestar to the planet? 1. ± R = ± 9 × 10 10 , - 1 . 4 × 10 11 , 6 × 10 10 ² 2. ± R = ± 8 × 10 10 , - 1 . 6 × 10 11 , 6 × 10 10 ² 3. ± R = ± 1 . 1 × 10 11 , - 1 . 4 × 10 11 , 1 × 10 11 ² correct 4. ± R = ± 6 × 10 10 , - 1 . 1 × 10 11 , 9 × 10 10 ² 5. ± R = ± 9 × 10 10 , - 1 . 6 × 10 11 , 1 × 10 11 ² Explanation: This is a vector subtraction problem. To Fnd ± R ,wesubtract ± S - ± P by respective com- ponents: S x - P x =7 × 10 10 - ( - 4 × 10 10 )=1 . 1 × 10 11 S y - P y = - 6 × 10 10 +8 × 10 10 = - 1 . 4 × 10 11 S z - P z =5 × 10 10 +( - 5 × 10 10 × 10 11 So ± R = ± S - ± P = ± 1 . 1 × 10 11 , - 1 . 4 × 10 11 , 1 × 10 11 ² .
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This note was uploaded on 10/24/2011 for the course PHY 303L taught by Professor Turner during the Spring '08 term at University of Texas at Austin.

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1 vector solutions - liu (ql744) vec rev chiu (56565) This...

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