HW01-solutions

# HW01-solutions - Le (tl8426) HW01 gentle (56245) 1 This...

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Unformatted text preview: Le (tl8426) HW01 gentle (56245) 1 This print-out should have 18 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 Two points have cartesian coordinates (10 m ,- 10 m) and (- 10 m , 3 . 1 m). Find the distance between these points. Correct answer: 23 . 9084 m. Explanation: Let : x 1 = 10 m , y 1 =- 10 m , x 2 =- 10 m , and y 2 = 3 . 1 m . The distance is d = radicalBig ( x 2- x 1 ) 2 + ( y 2- y 1 ) 2 = { [- 10 m- (10 m)] 2 + [3 . 1 m- (- 10 m)] 2 } 1 / 2 = 23 . 9084 m . 002 (part 2 of 2) 10.0 points What is the angle between the line connect- ing the two points and the x-axis (measured counter-clockwise from the x-axis and within the limits of- 180 to +180 )? Correct answer: 146 . 775 . Explanation: The angle is = arctan parenleftbigg y 2- y 1 x 2- x 1 parenrightbigg = arctan bracketleftbigg 3 . 1 m- (- 10 m)- 10 m- (10 m) bracketrightbigg = 146 . 775 . (- 10, 3 . 1) (10,- 10) 003 10.0 points The modern standard of length is 1 m and the speed of light is approximately 2 . 99792 10 8 m / s . Find the time t for light to cover 1 m at the given speed. 1. t 3 10 8 s 2. t 3 . 3 10 6 s 3. t 3 10 9 s 4. t 3 . 3 10 10 s 5. t 3 10 6 s 6. t 3 . 3 10 7 s 7. t 3 . 3 10 9 s correct 8. t 3 . 3 10 8 s 9. t 3 10 10 s 10. t 3 10 7 s Explanation: d = c t Le (tl8426) HW01 gentle (56245) 2 t = d c = 1 m 2 . 99792 10 8 m / s = 3 . 33564 10 9 s ....
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## HW01-solutions - Le (tl8426) HW01 gentle (56245) 1 This...

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