A cyclist travels at a constant speed o :hdw9/nhx)ylfoubp)6 38dhf+n/qui f $22.0 \mathrm{~km} / \mathrm{hr}$ 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 d9dh fc w0+ 4cml;ypgwr8; dc0puring the ten second interval.

  Rank the magnitudes of the maximum0k zn:fhih/d3 q xve3r,5)bi cih.n;m velocity achieved during the ten second interbqxh,0)z v/:ri 3km; nhi3 fcin5 h.edval.

  Rank the magnitudes of the dike) u03d-np tustance traveled during the ten second interval.

  A crude approximation is that the Earth travels g 4bec3(/u+)eqz avl ain a circular orbit about the Sun at4abqc ezagu (e)/vl +3 constant 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 ou cb1j +6(ua4 7nvyosihduri62t of control 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 vecly5y-cmc s3 /k7g9 rqrtical 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 mfex do/gcb1s 1*t7t(-l, uwy k-vl,gwith 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 metezqsxsg//x9e7 x/m8i0 rd 5qz xrs and a spring constant of 10 newtons/meter. Alice is s50g x eqr8 sm xzdzix7/x/9/qpulling 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?

  Which of the following changes will result in an increase inmkx o+k -.i29dasux4w the period of a simple pen xdk2w9-iousk4 x.+madulum?

  A large metal cylindrical cup floats in a recr w;x1/m6ippy tangular tub half-filled with water. The tap is p 6px/1ipy mr;wlaced 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 water level in the sink as a function of time?

  You are given a large collection of ideb, 1(d+ithjcgntical heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual graviit1,+dbc (j ghtational 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 s* gqp7wk9n* mpolid 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 varioup-ls.xju em., exn2.vs point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights to .n-sl2j xmue.xve . p,fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is displax 3p se6vn281j4e poovced $2.0 \mathrm{~cm}$ 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 dyy,z 4z wp xlgom:*g/;oes Jonathan need to exert on the physics book to keep the rope from slipp pgz:g,l;zmo x*yw/4ying?

  Jonathan applies a normal force :ajsm2gf59tjthat is just 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 slipping from Jonathans hand. At what speed does the box smash into the ground? Assume Jonath2afs mjjg9:t5 ans 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 to the or5rk)g1,lyhx am 7q )olo uk10qigin?

  What is the maximum distance betwea:y i(rym:e i9en the particle and the origin?

  An engineer is given a fixed volubnoz,f:as .y57g 2bo ime $V_{m}$ 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 hy1z o1x jl 27cqj3rdrj7pothetical gasoline engine as a function of rotation frequency. The engine is incapable of running o3 1177zjordjj2lr cxqutside of the graphed range.


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

  A particle is launched from the surb/ 5hibgna,a;face of a uniform, stationary spherical planet at an angle to the vertical. Tin ah,5b/a;gbhe 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 Tezejkw*b ,b4+c f0w8fc flon 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 t+4o sokpx8.f6 9lsvfqube) and a block are placedv.s f89k opxo6 slqf+4 at rest at the top of a 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?