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# General Physics Hwk 2 Answers - huynh(hph268 HW#2...

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huynh (hph268) – HW #2 – clark – (56485) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points A physics book is moved once around the perimeter of a table of dimensions 1 m by 3 m. If the book ends up at its initial position, what is the magnitude of its displacement? 1. 6 m 2. 3 m 3. 2 m 4. 4 m 5. 1 m 6. 5 m 7. None of these 8. 7 m 9. 0 m correct 10. 8 m Explanation: Since its final position is the same as its initial position, the displacement is 0. 002 (part 2 of 2) 10.0 points What is the distance traveled? 1. 1 m 2. 6 m 3. None of these 4. 3 m 5. 4 m 6. 7 m 7. 5 m 8. 0 m 9. 2 m 10. 8 m correct Explanation: The distance traveled is the perimeter of the table: d = 2 + 2 w = 2 (1 m) + 2 (3 m) = 8 m . 003 (part 1 of 2) 10.0 points Consider the two vectors vector M = ( a, b ) = a ˆ ı + b ˆ and vector N = ( c, d ) = c ˆ ı + d ˆ . What is the value of the scalar product vector M · vector M ? 1. a - b 2. a 2 - 2 a b + b 2 3. - 2 a b 4. a 2 + b 2 correct 5. radicalbig a 2 + b 2 6. a + b 7. 2 a b 8. a 2 + 2 a b + b 2 9. a 2 - b 2 Explanation: ˆ ı · ˆ ı = ˆ · ˆ = 1 and ˆ · ˆ ı = ˆ ı · ˆ = 0, so vector M · vector M = ( a ˆ ı + b ˆ ) · ( a ˆ ı + b ˆ ) = a 2 ı · ˆ ı ) + b a · ˆ ı ) + a b ı · ˆ ) + b 2 · ˆ ) = a 2 + b 2 .

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huynh (hph268) – HW #2 – clark – (56485) 2 004 (part 2 of 2) 10.0 points What is the value of the scalar product vector M · vector N ? 1. a 2 + b 2 + c 2 + d 2 2. a d - b c 3. a d + b c 4. a b c d 5. a c + b d correct 6. a c - b d 7. a b + c d 8. radicalbig a 2 + b 2 + radicalbig c 2 + d 2 9. a b - c d Explanation: vector M · vector N = ( a ˆ ı + b ˆ ) · ( c ˆ ı + d ˆ ) = a c ı · ˆ ı ) + b c · ˆ ı ) + a d ı · ˆ ) + b d · ˆ ) = a c + b d . 005 10.0 points A little boy is running along the aisle of a train moving at constant velocity. A man standing at a station sees the train go by and through its windows measures the velocity of the little boy as vectorv b . The passengers on the train, sitting quietly in their seats, measure the velocity of the little boy as vectorv t . What is the velocity of the train itself with respect to the station; i.e. , the ground? 1. vectorv t - vectorv b 2. vectorv b - vectorv t correct 3. vectorv t + vectorv b 4. zero Explanation: vectorv bt + vectorv ts = vectorv bs vectorv ts = vectorv bs - vectorv bt = vectorv b - vectorv t . 006 10.0 points Let A = i , B = i + j and C = j .
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