A cyclist travels at a constanue,7lep; g qf.a75 grat speed of $22.0 \mathrm{~km} / \mathrm{hr}$ except for a 20 minute stop. The cyclists average speed was $17.5 \mathrm{~km} / \mathrm{hr}$. How far did the cyclist travel?

  Rank the magnitudes of the average acceleration during the ttha4 ,5u8tn*rc5pmlv en second interval.

  Rank the magnitudes of the maximum velocity achieved during the ten seconq9j4)66nec:k2t usq rx8rx qfd interval.t9k2fqr:6x eq )uq4scjrn 68x

  Rank the magnitudes of the)sc )bc.y stx d*- uf.yc47duy0wxw-v- :x jli distance traveled during the ten second interval.

  A crude approximation is that the Earth travels in a circu+g 2hf *elbzpo2uxi6 ujba,.: lar orbit about the Sun at constant speed, at bhoz luejf+b .gp :6 ,xi*ua22a distance of $150,000,000 \mathrm{~km}$ from the Sun. Which of the following is the closest for the acceleration of the Earth in this orbit?

  A child is sliding out of contrl m8kb*6b1qrl ol with velocity $v_{\mathrm{c}}$ across a frozen lake. He runs head-on into another child, initially at rest, with 3 times the mass of the first child, who holds on so that the two now slide together. What is the velocity of the couple after the collision?

  An ice skater can rotate about a vertical axis with an angular velocitylsv. fvd8 6n 7szs;*nj $\omega_{0}$ by holding her arms straight out. She can then pull in her arms close to her body so that her angular velocity changes to $2 \omega_{0}$, without the application of any external torque. What is the ratio of her final rotational kinetic energy to her initial rotational kinetic energy?

  When a block of wood with a wei1xm ucpuh+cq2 -8cp v*i.au3 w 4itk(hght of $30 \mathrm{~N}$ is completely submerged under water the buoyant force on the block of wood from the water is $50 \mathrm{~N}$. When the block is released it floats at the
surface. What fraction of the block will then be visible above the surface of the water when the block is floating?

  A spring has an equilibrium length of 2.0 meters and a spring constant ov pzkni aif6i c8*. mx1d5s0:zf 10 newtons/meter. Alice is pulling on one end of the spring with a force of 3.0 newtons. Bob is pulling on the opposite end of the spring with a force of 3.0 newtons, i 6ii8:nik f.*xvzcmad1z0 ps5n the opposite direction. What is the resulting length of the spring?

  Which of the following changes will result in an increase n;dcoqkwafa ss6me4in ; s()4xh0(j-in the period of a simple pend w -6h;xm)n4ao4;0(s aqsescjdn (fikulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with waj7y g1m;r1g zhc,o *kqter. The tap is placed over the cup and turned on, releasing water at a constant rate. Eventually the cup sinks to the bottom and is complete *ozgg k 1yhm7c1;rjq,ly submerged. Which of the following five graphs could represent the water level in the sink as a function of time?

  You are given a large collection of identicalcgm0o k luxtwb39un8:7ya5g 9 heavy balls and lightweight rods. When two balls are placed at the n70xoy:kut59c93g u l maw8bgends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the compressive force in the rod is $F$. Next, three balls and three rods are placed at the vertexes and edges of an equilateral triangle (as is shown on the right). What is the compressive force in each rod in the latter case?

  The apparatus in the diagram consists of a solid cylinder of radiopz/m 3 yq/o+pale8/ sk* a-jrus $1 \mathrm{~cm}$ attached at the center to two disks of radius $2 \mathrm{~cm}$. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle $\theta=90^{\circ}$ to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of $\theta$ for which it will not roll to the right when pulling on the thread?

  You have 5 different strings with myt5i v( fgso gsg244ei7w hj(b 5h43hweights tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights to fall. Whi 7st3oswygg5 vgbi2445e (m jf h(h4ihch one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-sprinz0ikas80 .sw qg oscillator is displaced $2.0 \mathrm{~cm}$ from equilibrium. The $100 \mathrm{~g}$ mass passes through the equilibrium point with a speed of $0.75 \mathrm{~m} / \mathrm{s}$. What is the spring constant of the spring?

  What magnitude force does Jonathan need to exert on the physics book to6d3vm;a )9 tu shep3vg keep the rmd)h esv 6 ua9p;33gtvope from slipping?

  Jonathan applies a normalwa)g8t9i+ q2fdco ug ; force that is just enough to keep the rope from slipping. Becky makes a small jump, barely leaving contact with th 8c gf)t i9+wq;daug2oe floor of the box. Upon landing on the box, the force of the impact causes the rope to start slipping from Jonathans hand. At what speed does the box smash into the ground? Assume Jonathans normal force does not change.

  A block of mass $m=3.0 \mathrm{~kg}$ slides down one ramp, and then up a second ramp. The coefficient of kinetic friction between the block and each ramp is $\mu_{\mathrm{k}}=0.40$. The block begins at a height $\mathrm{h}_{1}=1.0 \mathrm{~m}$ above the horizontal. Both ramps are at a $30^{\circ}$ incline above the horizontal. To what height above the horizontal does the block rise on the second ramp?

  After how much time will the particle first return trml*7)cx8q q2 6o tqvwo the origin?

  What is the maximum distance between the particle and the origin?ljk; oe*d4/kkr +y a(b

  An engineer is given a fixed volumhuo.qlc0oih pgrdm 1f01m ipm(3/ a *2e $V_{m}$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel; instead it depends only on $V_{m}$ (measured in $\mathrm{m}^{3}$ ), the temperature $T$ (measured in $\mathrm{K}$ ), the ideal gas constant $R$ (measured in $\mathrm{J} /(\mathrm{K} \cdot \mathrm{mol})$ ), and the
tensile strength of the metal $\sigma$ (measured in $\mathrm{N} / \mathrm{m}^{2}$ ). Which of the following gives $n$ in terms of these parameters?

  This graph depicts the torque output of a hngr; c.cdt1 ,bypothetical gasoline engine as a funcc.brtd;c ,ng1tion of rotation frequency. The engine is incapable of running outside of the graphed range.


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched from the *i6qif yv(+qhn9j/ nusurface of a uniform, stationary spherical planet at an angle to the vertical. The particle travels in the absence of air resistance and eventually falls back onto the planet. Spaceman Fred describes the path of the particle as a parabola using the laws of proj jfihi q (v+yunq/6n*9ectile motion. Spacewoman Kate recalls from Keplers laws that every bound orbit
around a point mass is an ellipse (or circle), and that the gravitation due to a uniform sphere is identical to that of a point mass. Which of the following best explains the discrepancy?

  A turntable is supported onk9i9kbn (yedprr *4u -o7tvj2 a Teflon ring of inner radius $R$ and outer radius $R+\sigma(\sigma << R)$, as shown in the diagram. To rotate the turntable at a constant rate, power must be supplied to overcome friction. The manufacturer of the turntable wishes to reduce the power required without changing the rotation rate, the weight of the turntable, or the coefficient of friction of the Teflon surface. Engineers propose two solutions: increasing the width of the bearing (increasing $\sigma$ ), or increasing the radius (increasing $R$ ). What are the effects of these proposed changes?

  A hollow cylinder with a very thin wall adjrtx7j 1jm5 a3)s)b(like a toilet paper tube) and a block are placed at rest at the top of a plane with inclinat1jb) 53ax7 rmsja) jtdion $\theta$ above the horizontal. The cylinder rolls down the plane without slipping and the block slides down the plane; it is found that both objects reach the bottom of the plane simultaneously. What is the coefficient of kinetic friction between the block and the plane?