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Ch1-H1-solutions - chauhan(mmc2762 Ch1-H1 turner(56910 This...

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chauhan (mmc2762) – Ch1-H1 – turner – (56910) 1 This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001(part1of7)10.0points A proton is located at: ( 1 × 10 10 m , 1 × 10 10 m , 7 × 10 10 m ) . Find vectorr , the location of the proton from the origin where vectorr = ( r x , r y , r z ) . What is r x in meters? Your answer must be within ± 5.0% Correct answer: 1 × 10 10 m. Explanation: The position of the proton is the vector from the origin to the location of the proton. In this case: ( 1 × 10 10 m , 1 × 10 10 m , 7 × 10 10 m ) 002(part2of7)10.0points What is r y in meters? Your answer must be within ± 5.0% Correct answer: 1 × 10 10 m. Explanation: The position of the proton is the vector from the origin to the location of the proton. In this case: ( 1 × 10 10 m , 1 × 10 10 m , 7 × 10 10 m ) 003(part3of7)10.0points What is r z 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: ( 1 × 10 10 m , 1 × 10 10 m , 7 × 10 10 m ) 004(part4of7)10.0points What is | vectorr | in meters? Your answer must be within ± 5.0% Correct answer: 7 . 14143 × 10 10 m. Explanation: The magnitude of vectorr is found by: | vectorr | = radicalBig r 2 x + r 2 y + r 2 z where: r x = 1 × 10 10 m r y = 1 × 10 10 m r z = 7 × 10 10 m therefore: | vectorr | = 7 . 14143 × 10 10 m 005(part5of7)10.0points What is ˆ r x , the x component of the unit vector in the direction of vectorr ? Your answer must be within ± 5.0% Correct answer: 0 . 140028. Explanation: The unit vector has the form: ˆ r = vectorr | vectorr | . This means that the x component of the unit vector is: ˆ r x = r x | vectorr | = 1 × 10 10 m 7 . 14143 × 10 10 m = 0 . 140028 006(part6of7)10.0points What is ˆ r y , the y component of the unit vector in the direction of vectorr ? Your answer must be within ± 5.0% Correct answer: 0 . 140028. Explanation: The unit vector has the form: ˆ r = vectorr | vectorr | .
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chauhan (mmc2762) – Ch1-H1 – turner – (56910) 2 This means that the y component of the unit vector is: ˆ r y = r y | vectorr | = 1 × 10 10 m 7 . 14143 × 10 10 m = 0 . 140028 007(part7of7)10.0points What is ˆ r z , the z component of the unit vector in the direction of vectorr ? Your answer must be within ± 5.0% Correct answer: 0 . 980196. Explanation: The unit vector has the form: ˆ r = vectorr | vectorr | . This means that the z component of the unit vector is: ˆ r z = r z | vectorr | = 7 × 10 10 m 7 . 14143 × 10 10 m = 0 . 980196 008(part1of5)10.0points A planet is located at vector P = (− 3 × 10 10 , 6 × 10 10 , 1 × 10 10 ) . A star is located at vector S = ( 4 × 10 10 , 5 × 10 10 , 1 × 10 10 ) . What is vector R , the vector pointing from the planet to the star? 1. vector R = ( 4 × 10 10 , 1 . 2 × 10 11 , 4 × 10 10 ) 2. vector R = ( 7 × 10 10 , 1 . 3 × 10 11 , 8 × 10 10 ) 3.
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