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### Online Homework 4 Solutions

Course: PHYS 221, Fall 2007
School: Iowa State
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Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
August28. Quiz for Tuesday, VersionA: are Two vectors givenasA:3i + 2j + k andB=2i+ 2i+ 2k. Whatisthe angle A between andB?-r-*:t)jSt\E\ cos = N*\* oN:R.r N?Rz + l-\.\5== CcrS-[A: 22,2&quot; VersionB: are Twovectors givenbyA:3i + j andB:2i-i.comp
Iowa State - PHYS - 221
August30. Quiz for Thursday, VersionA: of A car hasa speed 50 km / hr. Whenthe driver breaksashardashe canit takes4 give the is seconds cometo rest. (a) Assumingthat the acceleration constant, to process? (b) How far doesthe car moveduringthe stoppin
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Quiz for Tuesduy,SeptemberI 1.A particle undergoescircular motion. It is 50 cm from the axis or rotation Version A: -Z1s-21t2. At t :2 s,what is the (a) and it moving in the x-y plane. 0(t) - 6 + 5(s-11t particle's velocity? (b) At t : 2 s, what is
Iowa State - PHYS - 221
13. September Quiz for Thursday, VersionA: Thetotal forceon a 10kg mass givenby F - (4lD i. If the mass is starts att - 0 s, at rest,at the origin,what is its (a) velocityand(b) positionat t: 4 s?/=;iF: f :q\rrrr6L--?1 r2f= J-t: ,J \
Iowa State - PHYS - 221
Iowa State - PHYS - 221
25. September Quiz for Tuesday, uniform circularmotionon a A,Zkgmass,tied to a string,undergoes version A: periodofthemotion is 4 s' If The radiusof the circle islz5r*-uod the table. horizontal is the between massandthe table'what is a coefiicientof
Iowa State - PHYS - 221
27. Quiz for Thursday,SeptemberHow fast would a 7A kg person have to climb stairs to conzumethe same Version A: amount of power as a 1000W light bulb? Give answerin km / h.= p=+{pr.o = rn?\&quot;1 =r ., ' r =(c&quot;tr\(tr ' \&quot;)t\t) TEKw d\t 6583- = \1.,0
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
October16. Quiz for Tuesday, aboutana:ris VersionA: A solidsphere with massl0 kg andradius15cm is rotated its thattouches edge. (a) Whatis the sphere's moment inertiaforthis rotation?(b) Ifa of pointinginto the page, forceof 15N is applied whatis the
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Iowa State - PHYS - 221
30. October Quiz for Tuesday, A sphere VersionA: with a radiusof 20.0 cm anda massof 2.00 kg is hungsothat it point on its edge. What is the periodof the sphere's motionif it osc,iltalgg rotatesaboutawitha small amplitude? t- N FoPU&quot;t\CALi\EtJs
Iowa State - PHYS - 221
Name: _ Section: _ Tuesday, November 6 Quiz 15A A positive point charge is brought near the tip of an uncharged metal bar. a. Explain what happens to the charges in the metal bar as the point charge is brought in. Sketch the final distribution of cha
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Quiz for Tuesday,November 27.Two solid, metal spheresare connectedby a thin copper wire and Version A: separated 5 m. A total chargeof +5 pC is placed on the two sphereI wire system. If by the radius of the larger sphereis 20 cm and the radius of t
Iowa State - PHYS - 221
Iowa State - PHYS - 221
Worksheet A: Units, orders of magnitude.1. The bottle of peanut oil in your kitchen says: 709 cm3. You weight it in your kitchen scale and get 680 g. A few days after, the bottle is empty and you weight it. The scale reads 58 g. What is the mass in
Iowa State - PHYS - 221
Worksheet B: Vectors.1. Let A = 2.0 i + 5.0 j - 1.0 k = (2.0, 5.0, -1.0) B = -1.0 i + j + 3.0 k = (-1.0, , 3.0) (Both notations will be used throughout the course). a. Find the magnitude of A.A=( 2.0 ) + ( 5.0 ) + ( -1.0 )2 22= 5.5b. Find
Iowa State - PHYS - 221
Worksheet C: 1D motion1. The following graph describes the motion of a toy train. It starts moving forwards.vx (m/s) 4246810121416a. The speed of the train is zero at t = 0, 8 s and 16 s b. When does the train move forwards? 0 &lt;
Iowa State - PHYS - 221
Worksheet D: Free fall and projectile motion.1. A person standing on a 3 m-tall elevator at rest tosses a coin vertically in the air. The coin leaves the person's hand at 1.5 m from the elevator's floor, with an initial speed of 4 m/s. Right at the
Iowa State - PHYS - 221
Worksheet E: 2D motion.1-I. A particle moves along the trajectory shown below at constant speed in the clockwise direction. 3 1-3 v1 v3 v2 11-2 v1 v2va. On the figure, draw vectors to represent the velocity of the particle at points 1 and 3.
Iowa State - PHYS - 221
Worksheet F: Newton's laws.1-I. Three identical blocks are pushed across a table at constant speed as shown below. The hand pushes horizontally. There is friction between the table and the bricks. We shall call the stack of two bricks system A and t
Iowa State - PHYS - 221
Worksheet G: Free-body diagrams1. A 30-mg spider hangs from two threads from the ceiling as shown below. 40 30T1T2y xmga. Find the tension on each thread. x : T2 cos 30 - T1 cos 40 = 0 y : T1 sin 40 + T2 sin 30 - mg = 0 T2 = T1 2 equations
Iowa State - PHYS - 221
Worksheet H: Friction and dynamics of circular motion.1. A box of mass m = 1.2 kg sits on a plane whose inclination can be changed. The coefficients of friction between the box and the plane are s = 0.40 and k = 0.20.fs m mgNa. Draw the free
Iowa State - PHYS - 221
Worksheet I: Work and energy.1. A 10.0-kg crate is pulled 15.0 m up along a frictionless incline as shown in the figure below. The crate starts at rest and has a final speed of 6.00 m/s.motorT N15 mmg a. Draw the free-body diagram for the cra
Iowa State - PHYS - 221
Worksheet J: Conservation of energy.1. A small bead of mass m = 30 g hangs at one end of a string of length l = 10 cm. The other end is attached to the ceiling as shown in the figure below. The bead is pulled up, so the string makes an angle 0 = 70
Iowa State - PHYS - 221
Worksheet K: Energy Diagrams1. A particle of mass m = 2 kg moves in a region of space with the following potential energy function.60 40 20 U (J) 0-20 -40 -60 0(part b) (part i) (parts f, g, h)24681012x (m) a. The force at x = 2 m
Iowa State - PHYS - 221
Worksheet L: Linear momentum; center of mass1. A big, fat asteroid floats happily in space unaware that another asteroid of mass m = 200 kg is heading towards it at 150 m/s. The big asteroid is initially at rest. The collision breaks the big asteroi
Iowa State - PHYS - 221
Worksheet M: Rigid body motion (I)1. Indiana Jones runs for his life escaping from a huge spherical rock of mass M = 5000 kg and radius R = 1.5 m that rolls down an inclined rectilinear cave. The rock started at rest at a height h = 4.0 m above the
Iowa State - PHYS - 221
Worksheet N: Rigid body motion (II)1. Several forces F are applied to the 2D objects below. All forces have equal magnitude. All the objects have the same mass, uniformly distributed.[A]r(Same r for both) ddr[B]r = 0 for the vertica
Iowa State - PHYS - 221
Worksheet O: Rigid Body Motion III: Angular Momentum. Statics.1. A stick (4.0 m long, 2.0 kg) hangs from a wall as shown below. One end of the stick rests against the wall and forms a 75 angle with the wall. A cable is attached to the stick at its m
Iowa State - PHYS - 221
Worksheet P: Oscillations.1. You are baby-sitting little Nicole who plays with a toy of mass m = 0.200 kg that hangs at the end of a vertical spring of constant k = 9.80 N/m. The system is initially at rest and in equilibrium.k = 9.80 N/m m = 0.20
Iowa State - PHYS - 221
Worksheet Q: Gravitation1. Uranus has a radius of 25,560 km and a surface acceleration due to gravity of 8.86 m/s2. Its moon Miranda is in a circular orbit about Uranus at an altitude of 104,000 km above the planet's surface. Miranda has a mass of 6
Iowa State - PHYS - 221
Worksheet R: Coulomb's force. Electric field.1. Two positive charges q and Q (Q &gt; q) are held in place a distance d apart. Draw the electrostatic force exerted on each charge by the other. q d QTwo extra charges are added to the system as shown be
Iowa State - PHYS - 221
Worksheet S: Gauss's law.1. Three spherical Gaussian surfaces enclose a charge +Q. In case C, there is another charge -6Q outside the surface.-6Q r +Q 2r +Q r +QCase ACase BCase CConsider the following conversation: Student 1: &quot;Since each
Iowa State - PHYS - 221
Worksheet T: Electric potential.1. A metallic sphere of radius a is at the center of a metallic shell of radii b and c. The net charge of the sphere is q (q &gt; 0). The net charge of the shell is -3q. Using Gauss's law, one can prove that: E=0 (r &lt; a)
Iowa State - PHYS - 221
Worksheet U: Capacitance.Two thin plates of area A with charges +Q and -Q are kept fixed at distance d from each other. The distance between the plates is much smaller than the sides of the plates. a. Write expressions for: The surface charge densi
Iowa State - PHYS - 221
Worksheet V: Capacitor circuits.1. Three ideal capacitors C1 = 1.0 F, C2 = 2.0 F and C3 = 3.0 F are connected as shown in the figure below to a source that provides a potential difference V0 = 30 V.AC1 C B C2 V0 + - C3a. Compare the electric p
Iowa State - PHYS - 221
Worksheet W: Resistor circuits1. A bulb A is connected with ideal wires to an ideal battery as shown below. a. Compare the potential difference across the bulb to the potential difference across the battery. AVA = Vbatteryb. Now two bulbs B and C
Iowa State - PHYS - 221
Physics221Fall2007August28 Written HomeworkdueTuesdayequalslOa physicsis the stutce.Oneshake A unit of time usedin microscopic l-thanthereare (or less)shakes in a second are seconds.(a) How manytimesmore is the whereas universe years, haveexisted
Iowa State - PHYS - 221
Physics221Fall2007Written HomeworkdueTuesdaySeptanber4this fails. In the vastmajorityof cases is fatal. a Sometimes skydiver'sparachute l-with deepsnow whenthe diver doessurvive,uzually associated Thereareraf,eoccasions of that the humanbody can
Iowa State - PHYS - 221
221Fall2007 Phvsics11 September Written HomeworkdueTuesdayof a 1- You headdirecttyacross straightriver ofwidth 100r4 surimmingataspeed bankhavingbeenswept You arriveatthe opposite 1.5nrlsrelativetothe water. of a downstream distance 50 m. (a) How
Iowa State - PHYS - 221
Physics 221Fall2}0718 September Written HomeworkdueTuesday1-A 3.5 kg block is pushed alonga horizontalfloorby a forceF of mqgnitude15N with respectto the horizontal(as shownin sketch). The at an angleof 40 degrees the coefficientof kinetic fricti
Iowa State - PHYS - 221
Physics Fall2007 22125 Septernber WrittenHomeworkdueTuesdayEach sketchbelow describesthe one dimensionalmotion (in a horizontal plane) 1-of a 5.00 kg systemduring a4.00 s interval. For eachcase,what is the work doneonthesystem the total forceon
Iowa State - PHYS - 221
22lFa1l20o7 PhysicsOctober02 Written HomeworkdueTuesdayIn the sketchbelow, a massslides along a track from an initial lwel to a higher l-level by moving through an intermediateminimum. The track is frictionless until the tnassreachesthe higher le
Iowa State - PHYS - 221
Physics221Fall2}07October09 Written HomeworkdueTuesdayAn S0kg painterfalls offof a scaffoldthat is 8.0 m abovethe ground. Assume l-to that asthe painterhits the groundhe comes restin 0.15 s. (a) What is the average &quot;hitting the ground&quot;? (b) What
Iowa State - PHYS - 221
Physics 221Fall2A07October16 WrittenHomeworkdueTuesday(a) Calculate momentof inertiaof eachparticlesystem the sketch below l-the in (b) aboutthe indicated axisof rotation. For sketch what is the minimumpossible [DJ momentof inertiafor an aris wit
Iowa State - PHYS - 221
Physics 221Fall2007October23 WrittenHomeworkdueTuesdayl-A girl of mass kg, runningtangentially a speed 5.00m/s,jumpsonto a 30 of at playground disk shaped, merry-go-round, initially at rest(seesketch below). (a) If the is mass the merry-go-round
Iowa State - PHYS - 221
Physics 221Fall2007October30 Written HomeworkdueTuesdav1-In the sketchbelow,a block weighing 14.0N slides without friction on a 40.ff incline andis connested the top of the incline by a massless to springwith hasan lengthof 0.450m andspringconsta