HW01-solutions

# HW01-solutions - lee(cyl327 – HW01 – gentle –(56245 1...

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Unformatted text preview: lee (cyl327) – 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 (8 . 3 m ,- 10 m) and (- 10 m , 5 . 2 m). Find the distance between these points. Correct answer: 23 . 7893 m. Explanation: Let : x 1 = 8 . 3 m , y 1 =- 10 m , x 2 =- 10 m , and y 2 = 5 . 2 m . The distance is d = radicalBig ( x 2- x 1 ) 2 + ( y 2- y 1 ) 2 = { [- 10 m- (8 . 3 m)] 2 + [5 . 2 m- (- 10 m)] 2 } 1 / 2 = 23 . 7893 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: 140 . 287 ◦ . Explanation: The angle is θ = arctan parenleftbigg y 2- y 1 x 2- x 1 parenrightbigg = arctan bracketleftbigg 5 . 2 m- (- 10 m)- 10 m- (8 . 3 m) bracketrightbigg = 140 . 287 ◦ . (- 10, 5 . 2) (8 . 3,- 10) θ 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 Δ t for light to cover 1 m at the given speed. 1. Δ t ≈ 3 . 3 × 10 − 9 s correct 2. Δ t ≈ 3 × 10 − 8 s 3. Δ t ≈ 3 . 3 × 10 − 8 s 4. Δ t ≈ 3 . 3 × 10 − 6 s 5. Δ t ≈ 3 . 3 × 10 − 7 s 6. Δ t ≈ 3 × 10 − 9 s 7. Δ t ≈ 3 × 10 − 10 s 8. Δ t ≈ 3 × 10 − 6 s 9. Δ t ≈ 3 . 3 × 10 − 10 s 10. Δ t ≈ 3 × 10 − 7 s Explanation: d = c Δ t lee (cyl327) – HW01 – gentle – (56245) 2 Δ t = d c = 1 m 2 . 99792 × 10 8 m / s = 3 . 33564 × 10 − 9 s ....
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HW01-solutions - lee(cyl327 – HW01 – gentle –(56245 1...

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