A cyclist travels at a cong+u nlyv;e 8y p6n:2)pv h3linstant 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 acceleration1x3 2opajx.h4wu an/x during the ten second interval.

  Rank the magnitudes of the maximum vel otf1ul7ik --kocity achieved during the ten second interv1i- fklu-7t okal.

  Rank the magnitudes of the distance traveled during the te: ord 4f.11y wzi*qbyfn second interval.

  A crude approximation is that the Earth travels in a ca9aqap8rs74 pjah d 1)ircular orbit about the Sun at constas7p qa 9 rpa1jah4ad8)nt speed, at a 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 control witr mk.fh,s hmc ,80)fxmh 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 axx; dw3a;yd s+5 (gw3d6tvrbjm is with an angular velocity $\omega_{0}$ 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 weigc ap a6xk w5l8+f*t8jfht 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. tbvif4 0ck4*v wnf3e60 meters and a spring constant of 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, in the opposite direction. What is the resulting length of the spring?0ivewvf4 ck*b n4t36f

  Which of the following changes will result in an in gh-lh;v r)7tm,:+j npaxo, bscrease in the period of a simple p:h m,bgl +h7s-a tx rpv,);njoendulum?

  A large metal cylindc4 z.ku an2tpc pyb(f;qw*.s)rical cup floats in a rectangular tub half-filled with water. The tap is placed over the cup and turned on, releasing water at a constant rate. Eventually the cup sinks to the b(;uzswt* pnk)y cba2pq4cf. .ottom and is completely 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 identical heavy balls and lightweireg9 ;bs9/0x r. ae tu,nexyd1ght rods. When two balls are placex9as,/eg.nr e1beu y;r 9x0t dd at the ends 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 diagra*lsg 9 ewydmf:7g jb*,m consists of a solid cylinder of radius $1 \mathrm{~cm}$ 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 weights tied at various point, all hanb d3cobsy: +gp,ed6m( 3vpsn *ging from the ceiling, a+ ypmdp bgoe3*(cbvs s36d ,n:nd reaching down to the floor. The string is released at the top, allowing the weights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring os +rg8- ;hwbrpd fedo* -cs;bfm g2n0;rcillator 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 exertgtlhqex 1ns f6u ;2kza:q5j*( on the physics book to keep the rope from slilz*5qnj2u(gaft;hsxkeq6 1: pping?

  Jonathan applies a normal force that is jh s zap6xt,0;w+ fm2scust enough to keep the rope from slipping. Becky makes a small jump, barely leaving contact with the floor of the box. Upon landing on the box, the force of the impact causes the rope to start s0wpz26m f;, cxsahs+t lipping 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 f8pgjl.f-lz h)s9 fs1first return to the origin?

  What is the maximum distance betws9 ng7s0bq)m xa6rd q-een the particle and the origin?

  An engineer is given a fixed vo fhmf3u:fjvg,i,9 /ut1c. ywq jdg20 hlume $V_{m}$ 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 hypothetical gasolzzbld2-r 1oun,wh(r 0 ine engine as a function of rotation frequency. The enzr-un,ob( z0r h1wld2 gine 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 surfn- rd:9zgfgqcwt niz7 1 ,wz19ace 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 thew1ztgcwn,nq7z9girfd: 9 1-z path of the particle as a parabola using the laws of projectile 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 supportj0p jhe c62k122dl lweed on 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 (like a toilet paper t40yzuwoq mk4* ube) and a block are placed at rest at the top of ko0*zm w4 uq4ya plane with inclination $\theta$ 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?