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homework 02-solutions

Course: PHY 303l, Spring 2009
School: University of Texas
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Word Count: 1472

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(xw788) WANG homework 02 Turner (59070) This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points Four point charges, each of magnitude 14.96 C, are placed at the corners of a square 31.8 cm on a side. The value of Coulombs constant is 8.98755 109 N m2 /C2 . If three of the charges are positive and one is...

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(xw788) WANG homework 02 Turner (59070) This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points Four point charges, each of magnitude 14.96 C, are placed at the corners of a square 31.8 cm on a side. The value of Coulombs constant is 8.98755 109 N m2 /C2 . If three of the charges are positive and one is negative, nd the magnitude of the force experienced by the negative charge. Correct answer: 38.0751 N. Explanation: Let : ke = 8.98755 109 N m2 /C2 , d = 31.8 cm = 0.318 m , and Q = 14.96 C = 1.496 105 C . 1 + F14 + 3 The forces are F34 = F24 = ke F34 2 + = = 1 +2 2 1 +2 2 F34 (19.8907 N) 1 = 38.0751 N . 002 10.0 points A charge Q is spread uniformly along the circumference of a circle of radius R. A point charge q is placed at the center of this circle. What is the total force exerted on q as calculated by Coulombs law? 1. Use R for the distance. 2. Use 2 R for the distance. 3. The result of the calculation is zero. correct 4. None of these. 5. Use 2 R for the distance. Explanation: By symmetry and using the fact that the charge is uniformly distributed along the circumference, the total force on q is zero. For example, consider a small element of charge Q on the circle. The force on q is along the vector connecting Q and q . But on the exact opposite side there is another element of charge Q which exerts an equal but opposite force on q . This is true for every point on the circle, so the net force is zero. 003 10.0 points A charge q1 of 4.00 109 C and a charge q2 of 2.10 109 C are separated by a distance of 39.0 cm. Find the equilibrium position for a third charge of +17.0 109 C by identifying its distance from q1 . Correct answer: 22.6143 cm. Explanation: Let : q1 = 4.00 109 C , F24 4 Q2 d2 = 8.98755 109 N m2 /C2 (0.318 m)2 = 19.8907 N 1.496 105 C 2 ke Q 2 1 1 ke Q 2 F14 = = F34 = 2 2 d2 2 2d The vector sum of F24 and F34 is in the same direction as F14 , so F = F14 + F34 2 + F24 2 1 = F34 + 2 F34 2 2 WANG (xw788) homework 02 Turner (59070) q2 = 2.10 109 C , r1,2 = 39.0 cm , and q3 = 17.0 109 C . Equilibrium is possible only if q3 is between q1 and q2 , so r2,3 = r1,2 r1,3 . q1 q2 r2 The net electric force on q3 is zero, so Felectric = kC F1,3 q1 q3 2 r1,3 q1 2 r1,3 q1 2 r1,3 = F2,3 q2 q3 = kC 2 r2,3 q2 =2 r2,3 q2 = (r1,2 r1,3 )2 2 Let : q = 35 C and qe = 1.60218 1019 C . The charge is proportional to the number of electrons, so q = n |qe | q 35 C n= = |qe | |1.60218 1019 C| = 2.18453 1020 . kC (r1,2 r1,3 )2 q2 = 2 q1 r1,3 r1,2 r1,3 = r1,3 005 (part 2 of 2) 10.0 points If each water molecule donates one electron, how much water is ionized in the lightning? One mole of water has a mass of 18.2 g/mol. Correct answer: 0.00660204 g. Explanation: q2 q1 q2 q1 = r1,2 Let : r1,2 r1,3 = r1,3 r1,3 1 + Thus r1,3 = r1,2 1+ = 1+ q2 q1 39 cm q2 q1 M = 18.2 g/mol and Na = 6.02214 1023 /mol . Mass is proportional to the number of atoms in a substance, so for m grams in N atoms in the water and M grams in Na atoms in one mole, we have m N = M Na m N= Na M Since every water molecule donates one electron to the discharge, the total number of transferred electrons ne equals the total number nH2 O of ionized water molecules, so the total mass of the water ionized by the lightning bolt is ne M H 2 O NA 20 (18.2 g/mol) 2.18453 10 = 6.02214 1023 /mol = 0.00660204 g . = 22.6143 cm from q1 . 2.1 109 C 4 109 C 004 (part 1 of 2) 10.0 points A strong lightning bolt transfers an electric charge of about 35 C to Earth (or vice versa). How many electrons are transferred? Avogadros number is 6.02214 1023 /mol. Correct answer: 2.18453 1020 . Explanation: Mtotal = nH2 O mH2 O = WANG (xw788) homework 02 Turner (59070) 006 10.0 points A negatively charged balloon has 2.4 C of charge. How many excess electrons are on this balloon? Correct answer: 1.5 1013 electrons. Explanation: 3 What is its charge after 14000 electrons have been removed from it? Correct answer: 2.24 109 C. Explanation: Let : n = 14000 and qe = 1.6 1019 C . Let : q = 2.4 C and = 1.60 1019 C/electron . The charge density is q N q N= = = 1.6 1019 2.4 106 C C/electron The removal of n electrons leaves a positive charge on the balloon of q = n qe = (14000)(1.6 1019 C) 1 106 C 1C = 2.24 109 C . 009 10.0 points Two metal spheres that are initially uncharged are mounted on insulating stands, as shown. = 1.5 1013 electrons . 007 10.0 points the Calculate net charge on a substance consisting of a combination of 3.9 1013 protons and 6.3 1013 electrons. Correct answer: 3.84 106 C. Explanation: Let: X Y Np = 3.9 1013 charges , Ne = 6.3 1013 charges qe = 1.60 1019 C . Qnet = Np qp + Ne qe Qnet = (3.9 1013 )(1.6 1019 C) + (6.3 1013 )(1.6 1019 C) = 3.84 10 6 qp = 1.60 1019 C , and A negatively charged rubber rod is brought close to but does not make contact with sphere X. Sphere Y is then brought close to X on the side opposite to the rubber rod. Y is allowed to touch X and then is removed some distance away. The rubber rod is then moved far away from X and Y. What are the nal charges on the spheres? Sphere X 1. Negative 2. Positive 3. Positive 4. Negative 5. Zero Sphere Y Positive Negative correct Positive Negative Zero C 008 10.0 points You have a neutral balloon. The charge of an electron is 1.6 1019 C. WANG (xw788) homework 02 Turner (59070) Explanation: The force is repulsive if the charges are of the same sign, so when the negatively charged rod moves close to the sphere X, the negatively charged electrons will be pushed to sphere Y. If X and Y are separated before the rod moves away, those charges will remain on X and Y. Therefore, X is positively charged and Y is negatively charged. 010 10.0 points 1) Two uncharged metal balls, X and Y, stand on glass rods and are touching. X Y correct 4. Balls Y and X are both positive. 5. Balls Y and X are both negative. 4 Explanation: Basic Concept: Electric induction caused by nearby charges. Solution: When a negative ball is moved near a metallic object (Y and X), the negative charge will attract positive charges, causing Y to have excess negative charge and X to have excess positive charge (Y and X are in contact, so the total net charge on Y and X should be zero). + 2) A third ball, carrying a negative charge, is brought near the rst two. X Y Later, Y and X are separated, retaining their charges, so when the third ball is nally removed, Y will have net negative charge and X will have net positive charge. 011 10.0 points Two uncharged metal balls, X and Z, stand on insulating glass rods. A third ball, carrying a negative charge, is brought near the ball Z as shown in the gure. A conducting wire is then run between X and Z and then removed. Finally the third ball is removed. conducting wire Z X 3) Then the rst two balls are separated from each other, X Y 4) and the third ball is nally removed. X Y When this is all four steps are done, it is found out that 1. Balls Y and X are still uncharged. 2. Ball Y is positive and ball X is negative. 3. Ball Y is negative and ball X is positive. When all this is nished 1. balls X and Z are both positive, but ball X carries more charge than ball Z. 2. balls X and Z are both negative. 3. balls X and Z are both positive, but ball WANG (xw788) homework 02 Turner (59070) Z carries more charge than ball X. 4. ball X is neutral and ball Z is negative. 5. ball X is neutral and ball Z is positive. 6. balls X and Z are still uncharged. 7. ball X is negative and ball Z is positive. correct 8. ball X is negative and ball Z is neutral. 9. ball X is positive and ball Z is negative. 10. ball X is positive and ball Z is neutral. Explanation: When the conducting wire is run between X and Z, some negative charge ows from Z to X under the inuence of the negative charge of the third ball. Therefore, after the wire is removed, X is charged negative and Z is charged positive. 012 10.0 points When combing your hair, you scu electrons from your hair onto the comb. Is your hair then positively or negatively charged? What about the comb? 1. Both are negatively charged. 2. Neither is charged. 3. Both are positively charged. 4. negatively charged; positively charged 5. positively charged; negatively charged correct Explanation: Excess electrons rubbed from your hair leave it positively charged. Excess electrons on the comb give it a negative charge. 013 10.0 points When one material is rubbed against another, electrons jump readily from one to the other. Why dont protons do that? 5 1. Electrons are easily dislodged from the outer regions of atoms, but protons are held tightly within the nucleus. correct 2. Electrons travel at the speed of light while protons move very slowly. 3. Electrons are much lighter than protons. 4. Electrons can attract each other while protons repel each other. 5. Electrons are much heavier than protons. Explanation: Protons are held tightly within the nucleus.
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University of Texas - PHY - 303l
WANG (xw788) oldhomework 01 Turner (59070) This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Two uncharged metal balls, Z and X, stand on insulatin
University of Texas - PHY - 303l
WANG (xw788) oldhomework 02 Turner (59070) This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 (part 1 of 3) 10.0 points In an early model for the atom the nucleus
University of Texas - PHY - 303l
WANG (xw788) oldhomework 03 Turner (59070) This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 4) 10.0 points A uniformly charged circular arc AB of r
University of Texas - PHY - 303l
WANG (xw788) homework 03 Turner (59070) y This print-out should have 11 questions. Multiple-choice questions may continue on - A - - the next column or page find all choices - r - before answering. - - - O - 001 10.0 points - - The diagram shows an isolat
University of Texas - PHY - 303l
WANG (xw788) oldhomework 04 Turner (59070) This print-out should have 8 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 The figure below shows the electric field
University of Texas - BIO - 325
Bizarre Deviants!Non-Mendelian inheritance Pt. 11Last TimeBreaking the Law of Independent Assortment What is linkage? Creating maps Frequency of recombination Determining the order of genes on chromosome2Bizarre deviants!The Maternal Effect Genetic
University of Texas - BIO - 325
Linkage and genetic mappinghttps:/www.llnl.gov/str/May01/gifs/Stubbs2.jpg1Last TimeOverview of gene interaction Epistasis - the masking effect Complementation - two genes, one phenotype Modifying genes - tweaking phenotypes Gene redundancy - the backu
University of Texas - BIO - 325
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University of Texas - BIO - 325
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University of Texas - BIO - 325
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University of Texas - BIO - 325
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University of Texas - BIO - 325
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University of Texas - BIO - 325
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University of Texas - BIO - 325
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University of Texas - PHY - 303K
Husain, Zeena Homework 6 Due: Mar 1 2004, 4:00 am Inst: Sonia Paban This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page find all choices before making your selection. The due time is Central time. 001
University of Texas - PHY - 303K
Bautista, Aldo Homework 14 Due: Dec 7 2005, 4:00 am Inst: Maxim Tsoi This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of
University of Texas - PHY - 303K
homework 24 BAUTISTA, ALDO Due: Mar 29 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 3. 10 points. Three particles of mass 8 kg, 5 kg, and 8 kg are connected by rigid rods of negligible mass lyi
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homework 11 BAUTISTA, ALDO Due: Nov 13 2006, 4:00 amGravity^ F21 = -G m12m2 r12 ,r121for r R,g(r) = G M r2G = 6.67259 10-11 N m2 /kg2 Rearth = 6370 km, Mearth = 5.98 1024 kg2 Circular orbit: ac = v = 2 r = r2 2 r = g(r) T M U = -G mr , E = U + K
University of Texas - PHY - 303K
Overton, Mays Homework 5 Due: Feb 3 2005, 4:00 am Inst: Turner This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 2) 10
University of Texas - PHY - 303K
homework 05 ALIBHAI, ZAHID Latest unpenalized work: Feb 19 2007 Monday 04:00 (after this date you can not make a perfect score). Work cutoff: Feb 21 2007, 4:00 am. Question 1 part 1 of 4 10 points A box of mass m with an initial velocity of v0 slides down
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practice 07 ALIBHAI, ZAHID Latest unpenalized work: Mar 4 2007 Sunday 04:00 (after this date you can not make a perfect score). Work cutoff: Mar 4 2007, 4:00 am. Question 1 part 1 of 1 10 points Two identical stars, a fixed distance D apart, revolve in a
University of Texas - PHY - 303K
Husain, Zeena Homework 6 Due: Mar 1 2004, 4:00 am Inst: Sonia Paban This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page find all choices before making your selection. The due time is Central time. 001
University of Texas - PHY - 303K
Bautista, Aldo Homework 3 Due: Sep 20 2005, 4:00 am Inst: Maxim Tsoi This print-out should have 26 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of
University of Texas - PHY - 303K
homework 13 BAUTISTA, ALDO Due: Feb 22 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 3. 10 points. A block starts at rest and slides down a frictionless track except for a small rough area on a
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practicework 07 BAUTISTA, ALDO Due: May 9 2006, 10:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 1. 10 points. Two iron spheres, of mass m and 2 m, respectively, and equally spaced points r apart are sh
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homework 03 HELD, ETHAN Due: Feb 6 2007, 4:00 am Question 1 part 1 of 2 10 points A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 33 m/s. At the same time, it has a horizontal velocity of 55 m/s. At what spe
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midterm 04 ALIBHAI, ZAHID Due: May 2 2007, 11:00 pm Question 1 part 1 of 1 10 points The diagrams below show dierent standing waves on a 49.5 cm string. Which of these waves has a 33 cm wavelength? 8. 1. correct17.2.9.3.4.5.6.Explanation: A stand
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practice 02 ALIBHAI, ZAHID Due: Jan 28 2007, 4:00 am Question 1 part 1 of 2 10 points A person travels by car from one city to another. She drives for 31.2 min at 69.8 km/h, 8.5 min at 112 km/h, 47.4 min at 42.3 km/h, and spends 16.5 min along the way eat
University of Texas - PHY - 303K
Husain, Zeena Homework 13 Due: Apr 27 2004, 4:00 am Inst: Sonia Paban This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page nd all choices before making your selection. The due time is Central time. 001
University of Texas - PHY - 303K
homework 02 BAUTISTA, ALDO Due: Jan 25 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 1. 10 points. The graph below shows the velocity v as a function of time t for an object moving in a straight
University of Texas - PHY - 303K
homework 34 BAUTISTA, ALDO Due: Apr 24 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 2. 10 points. A satellite with mass m is orbiting around the Earth on a circular path with a radius r. Denote
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Shie, Gary Oldquiz 1 Due: Sep 13 2004, 1:00 pm Inst: Turner This print-out should have 26 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 poin
University of Texas - PHY - 303K
Mechanics - Basic Physical ConceptsMathematicsb Quadratic Eq.: a x2 + b x + c = 0, x = b 2 a4 a c Cartesian and polar coordinates: y x = r cos , y = r sin , r 2 = x2 + y 2 , tan = x Trigonometry: cos cos + sin sin = cos( ) sin + sin = 2 sin + cos 2 2 2
University of Texas - PHY - 303K
homework 10 ALIBHAI, ZAHID Latest unpenalized work: Apr 2 2007 Monday 04:00 (after this date you can not make a perfect score). Work cutoff: Apr 4 2007, 4:00 am. Question 1 part 1 of 1 10 points A flywheel of radius 0.53 m and moment of inertia of 17.5 kg
University of Texas - PHY - 303K
practice 12 ALIBHAI, ZAHID Latest unpenalized work: Apr 15 2007 Sunday 04:00 (after this date you can not make a perfect score). Work cutoff: Apr 15 2007, 4:00 am. Question 1 part 1 of 1 10 points Consider a car engine running at constant speed. That is,
University of Texas - PHY - 303K
Husain, Zeena Homework 5 Due: Feb 23 2004, 4:00 am Inst: Sonia Paban This print-out should have 38 questions. Multiple-choice questions may continue on the next column or page nd all choices before making your selection. The due time is Central time. 001
University of Texas - PHY - 303K
Bautista, Aldo Homework 13 Due: Dec 2 2005, 4:00 am Inst: Maxim Tsoi This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of
University of Texas - PHY - 303K
homework 23 BAUTISTA, ALDO Due: Mar 27 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 3. 10 points. An air puck of mass 0.353 kg is tied to a string and allowed to revolve in a circle of radius 0
University of Texas - PHY - 303K
homework 10 BAUTISTA, ALDO Due: Nov 6 2006, 4:00 am1Mechanics - Basic Physical ConceptsMath: Circle: 2 r, r 2 ; Sphere: 4 r2 , (4/3) r3 b2 Quadratic Eq.: a x2 + b x + c = 0, x = -b 2 a-4 a cCartesian and polar coordinates: y x = r cos , y = r sin , r
University of Texas - PHY - 303K
Mechanics - Basic Physical ConceptsMathematicsb Quadratic Eq.: a x2 + b x + c = 0, x = b 2 a4 a c Cartesian and polar coordinates: y x = r cos , y = r sin , r 2 = x2 + y 2 , tan = x Trigonometry: cos cos + sin sin = cos( ) sin + sin = 2 sin + cos 2 2 2
University of Texas - PHY - 303K
homework 05 ALIBHAI, ZAHID Due: Feb 21 2007, 4:00 am Question 1 part 1 of 4 10 points A box of mass m with an initial velocity of v0 slides down a plane, inclined at with respect to the horizontal. The coecient of kinetic friction is . The box stops after
University of Texas - PHY - 303K
practice 07 ALIBHAI, ZAHID Due: Mar 4 2007, 4:00 am So we obtain Question 1 part 1 of 1 10 points Two identical stars, a fixed distance D apart, revolve in a circle about their mutual center of mass, as shown below. Each star has mass M and speed v. G is
University of Texas - PHY - 303K
Husain, Zeena Homework 5 Due: Feb 23 2004, 4:00 am Inst: Sonia Paban This print-out should have 38 questions. Multiple-choice questions may continue on the next column or page nd all choices before making your selection. The due time is Central time. 001
University of Texas - PHY - 303K
Bautista, Aldo Homework 2 Due: Sep 13 2005, 4:00 am Inst: Maxim Tsoi This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of
University of Texas - PHY - 303K
homework 12 BAUTISTA, ALDO Due: Feb 20 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 1. 10 points. Given: g = 9.8 m/s2 . Consider a boxcar accelerating up a 15.9 slope. Inside the boxcar, an obj
University of Texas - PHY - 303K
practicework 06 BAUTISTA, ALDO Due: May 8 2006, 6:00 pm Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 6. 10 points. Asteroids X, Y , and Z have equal mass. They orbit in the same angular direction around a pl
University of Texas - PHY - 303K
homework 01 HELD, ETHAN Due: Jan 23 2007, 4:00 am Question 1 part 1 of 1 10 points A piece of pipe has an outer radius, an inner radius, and length as shown in the figure below. Question 2 part 1 of 1 10 points14.5 cm 2.5 cmm 36 cOne cubic meter (1.0
University of Texas - PHY - 303K
midterm 03 ALIBHAI, ZAHID Due: Apr 4 2007, 11:00 pm Question 1 part 1 of 1 10 points Consider the collision of two identical particles, where the initial velocity of particle 1 is v1 and particle 2 is initially at rest. v1 1 21A 23.4 kg person climbs up
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practice 01 ALIBHAI, ZAHID Latest unpenalized work: Jan 22 2007 Monday 04:00 (after this date you can not make a perfect score). Work cutoff: Jan 21 2007, 4:00 am. Question 1 part 1 of 1 10 points A newly discovered giant planet has an average radius 19 t
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Husain, Zeena Homework 12 Due: Apr 20 2004, 4:00 am Inst: Sonia Paban This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page find all choices before making your selection. The due time is Central time. 0
University of Texas - PHY - 303K
homework 01 BAUTISTA, ALDO Due: Jan 23 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 1. 10 points. A newly discovered giant planet has an average radius 18 times that of the Earth and a mass 792
University of Texas - PHY - 303K
homework 33 BAUTISTA, ALDO Due: Apr 21 2006, 4:00 am Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 2. 10 points. Two satellites A and B orbit the Earth in the same plane. Their masses and radii have the relat
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Nguyen, Don Final 1 Due: Dec 8 2004, 5:00 pm Inst: Charles Chiu This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 1) 1
University of Texas - PHY - 303K
Mechanics - Basic Physical ConceptsMathematicsb Quadratic Eq.: a x2 + b x + c = 0, x = -b 2 a-4 a c Cartesian and polar coordinates: y x = r cos , y = r sin , r 2 = x2 + y 2 , tan = x Trigonometry: cos cos + sin sin = cos( - ) sin + sin = 2 sin + cos -
University of Texas - PHY - 303K
homework 10 ALIBHAI, ZAHID Due: Apr 4 2007, 4:00 am Question 1 part 1 of 1 10 points A ywheel of radius 0.53 m and moment of inertia of 17.5 kg m2 rotates initially at a rate of 7.3 revolutions/sec. If a force of 3.1 N is applied tangentially to the ywhee
University of Texas - PHY - 303K
practice 12 ALIBHAI, ZAHID Due: Apr 15 2007, 4:00 am For the problem at hand, Question 1 part 1 of 1 10 points Consider a car engine running at constant speed. That is, the crankshaft of the engine rotates at constant angular velocity while each piston mo