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# HW #1 - homework 01 FONTENOT BRIAN Due 4:00 am Question 1...

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homework 01 – FONTENOT, BRIAN – Due: Jan 21 2008, 4:00 am 1 Question 1, chap 1, sect 1. part 1 of 2 10 points Two points in the xy plane have cartesian coordinates ( x 1 , y 1 ) and ( x 2 , y 2 ), where x 1 = 9 . 3 m, y 1 = 10 m, x 2 = 10 m, and y 2 = 5 . 4 m. Determine the distance between these points. Answer in units of m. Question 2, chap 1, sect 1. part 2 of 2 10 points What is the angle between the line con- necting the two points and x -axis (measured counter-clockwise, within the limits of 180 to +180 )? Answer in units of . Question 3, chap 1, sect 6. part 1 of 1 10 points The velocity of a transverse wave traveling along a string depends on the tension of the string, F , which has units of force, and its mass per unit length, μ . Assume v = F x μ y . The powers of x and y may be determined based on dimensional analysis. The values of x and y for this problem are 1. x = 1 2 , y = 1 2 2. x = 1 2 , y = 1 2 3. x = 1 , y = 1 4. x = 1 2 , y = 1 2 5. x = 1 , y = 1 6. x = 0 , y = 1 7. x = 1 , y = 0 8. x = 1 , y = 1 9. x = 1 2 , y = 1 2 10. x = 1 , y = 1 Question 4, chap 1, sect 6. part 1 of 3 10 points There are roughly 10 59 neutrons and pro- tons in an average star and about 10 11 stars in a typical galaxy. Galaxies tend to form in clusters of (on the average) about 10 3 galax- ies, and there are about 10 9 clusters in the known part of the Universe. Approximately how many neutrons and protons “#” are there in the known Universe? 1. # 10 87 2. # 10 43 3. # 10 52 4. # 10 82 5. None of these 6. # 10 47 Question 5, chap 1, sect 6. part 2 of 3 10 points Suppose all this matter were compressed into a sphere of nuclear matter such that each nuclear particle occupied a volume of 1 . 401 × 10 45 m 3 (which is approximately the “volume” of a neutron or proton). What would be the radius of this sphere of nuclear matter? 1. None of these 2. R 10 25 m 3. R 10 23 m 4. R 10 12 m 5. R 10 14 m

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homework 01 – FONTENOT, BRIAN – Due: Jan 21 2008, 4:00 am 2 6. R 10 35 m Question 6, chap 1, sect 6. part 3 of 3 10 points Avogadro’s number is 6 . 023 × 10 23 mol 1 . How many moles of nuclear particles are there in the observable Universe? 1. # 10 54 mol 2. # 10 58 mol 3. # 10 35 mol 4. # 10 18 mol 5. None of these 6. # 10 56 mol Question 7, chap 1, sect 99.
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