A cyclist travels at a constant speed et n 27p.3orb6ua( pj pho90xcof $22.0 \mathrm{~km} / \mathrm{hr}$ 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 avgmw2 lsy3- .ko iz57lterage acceleration during the ten second interval.

  Rank the magnitudes of the maximum velocity 2agm*ywrm; h/e3 ijt8achieved during the ten second interv2myergmti;3 a*/w 8hjal.

  Rank the magnitudes of the distance ,hx /q3*r09duwgpaxvtraveled during the ten second interval.

  A crude approximation is that the E+f -l qupvnu.5arth travels in a circular orbit about the Sun at constant spp5nlqu+.u f-veed, 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 co8xw2t o:iit unv22 s)vntrol 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 rotat9;)bufaes(;e0 2t;l ug wdst3( gldp;v b za5ge about a vertical axis 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 wei4mwc s)u crdl:g)ej(( ght 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 ofh;4 0.xfm9wa 9shggbq 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. Wh0h gws ;m49 x.g9abqhfat is the resulting length of the spring?

  Which of the following changes will result in an increase in the pers6f-caa hay:,ntnag0 )sqa 4 6iod of a simple pendulum,nts6 a6qn0ca)hf4 ag-y asa:?

  A large metal cylindrical cup floats in a rectangular tub half-fitcz.miju(3p0 fa si6u.qp: -o lled with water. 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 completely submerged. Which of the following five graphs could represent the a: iu.jpzqcf3 o u0pt-6 (msi.water level in the sink as a function of time?

  You are given a large collection of identicf.x-9a*r6mhy7ut2 t ven/ lmxq h1i1gal heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the compressivvy q29 /1xn-7m1aurf6 g lt.x*them ihe 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 consistbg +42uffir x,:. ttg+*f/deuuaghe 4o sze::s 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 tzu2 w)7vh cvm5ied 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. Which one will create a regular, uniform beating sound as the weights hit the floo 75hc mvzuvw2)r?

  A vertical mass-spring oscil di;jdbk +l2x+lator 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 Jon/8wq -/+oe4 pgkm am/p p5giikathan need to exert on the physics book to keep the rope from pkq/ao5ep+/m/-i84wp ig kmgslipping?

  Jonathan applies a normal force that is just enough to keep the rope from sli*b7q0z i8h rd lcu(hlkj cw( o7(*vsa3pping. 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 slipping from Jonathans hand. At what speed does the box smash into thv zl7h8c0alocriu sd*( (q(j3b7 * hwke 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 th m9 (.l(mbfvtue particle first return to the origin?

  What is the maximum distance between th18jltujutd168zdi7 lr ) 8 zajq7 sz9pe particle and the origin?

  An engineer is given a fih5lq)79uavx f9b :yf 0g hbj 9d/xpy,gxed volume $V_{m}$ 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 l3 5sfvfr8vnlx41yg5 a hypothetical gasoline engine as a function of rotation frequency. Theyr5v 8f31 vn gf4l5sxl 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 surface otpnq-slk(d;* fm 5ubp;. 8ndp f 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 projectile motion. Spacewoman Kate r.mnpsqfd5ku (b-p;t8dn l*p;ecalls 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 on a Teflon 8gghh: 0o vc4y;c+.w/x qsmyfepw,+k 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 zwj,x; o:fd3 uz8xca1tube) and a block are placed at rest at the top of a plane with incliuw:1cxo; dz zx8a,3fjnation $\theta$ 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?