A cyclist travels at a constant speed nac919e0 k5ub:ki puj; :pjryof $22.0 \mathrm{~km} / \mathrm{hr}$ 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 ao4 k58lkcf 2t6gk+ afpkd( n p j(epqb2)p*hp8verage acceleration during the ten second interval.

  Rank the magnitudes of the max4jiqcxkyb on7. ;,l:b imum velocity achieved during the ten second interbx.yj ;,4lno:c 7ibqkval.

  Rank the magnitudes of the dista r:7q0rsbq;c ance traveled during the ten second interval.

  A crude approximation is that the Earth travel0, gx:wdprto:9rnxt *s in a circular orbit about the Sun at constant speed, at a distance of*d:tg rrn xt0,op:xw9 $150,000,000 \mathrm{~km}$ 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 contr:ezf 3mu2n:obywbz0, cyee(tz75. 9jb od j/ pol 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 vertical2rq a gfdgg. zf0hs(28 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 w;;x sgei/ux;t je oz;kp9wr1/ith a weight 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 const d7*ulyj (z4b5r(br,yqo9w tyant 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 sprw,br57l*uyo(by4jdrz9( tqy ing with a force of 3.0 newtons, in the opposite direction. What is the resulting length of the spring?

  Which of the following changes will result in an increase in the period of a kw7ynin5dxgzeak a h hc-lg:65) 6 4pi0:u j7esimple pgean7niyh6azu7 l 6 jcxw05::) ki4hg5-pkedendulum?

  A large metal cylindrical cup float+29tywa9e. lmunj ic,u(zza ..z *q rhs in a rectangular tub half-filled with water. The tap is placed over the cup and turned on, releasing water at a constant rate.z2au tc*., whz uem(l .in.y9qza9+j r Eventually the cup sinks to the bottom 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 identeu8iv6*prcde9 h20s 4gqgf s5 ical heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as v fce 8s4hg5i*sg qe6p dr902uis 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 solid5lu1xr t e derf6.3o*p(xuzo2 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 hanging froxvhla3 )9fmb2m the ceiling, and reaching down to thea3v f m)2b9lxh 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 oscillator is displacspp117bdp s3km 3k2sra9 ,ql led $2.0 \mathrm{~cm}$ 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 p((*f drtmyzz 3hysics book to keep the rope frodmr* (z(zfy3 tm slipping?

  Jonathan applies a normal force that is just eno. lcwtl/n7 7s-6mraozugh 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 impac/a-z rllm76ocs 7wn t.t 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 wiluy5g qhhh: o8ra*;kh-l the particle first return to the origin?

  What is the maximum distance between thbi3 *jf7u 8 x/.zjcukte particle and the origin?

  An engineer is given a fixed volda++wmf ,,g o6(ujtux vg9mt4ume $V_{m}$ 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 gasoline engb6k: c s (od9s bi6cmi/j(j7xbine as a function of rotation frequency. The engine is incapab66 cbji9/sdisc jbkx:ob7((m le 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 of a uniform, statiom76d 5h*d. c o2xpmxt8gq j9 z1seaarkh9tf 25nary spherical planet at an angle to th78t sk2tcd2eoz9hd r. xhp15jmgfm a956* xaqe 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 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 on a Teflon ring of inner radius /pz8fhrgfd1-:pp/a wd y4,b j $R$ 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 thzv 2g;))bav tbin wall (like a toilet paper tube) and a block are placed at rest at the top of a plane with inclination ) abt;)vgbv z2$\theta$ 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?