A cyclist travels at a constant blfkl w04(,yu1 +;ig*fzcqn mu; qx(x 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 aveqe f8p8c)nzlc3u0 p9lrage acceleration during the ten second interval.

  Rank the magnitudes of09vs*sk +-hnba1 mqwp the maximum velocity achieved during the ten second intermvqwbh kp1sns+* a-9 0val.

  Rank the magnitudes of the distance trav :kyk*mws3)kl 1 mwrp)pdj8c: eled during the ten second interval.

  A crude approximation is that the Earth travels in a circular orbit ahg/8 wus4tdz.bout the Sun at constant speed, at a distance h .sutd8/z4wgof $150,000,000 \mathrm{~km}$ 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 contns91 o3 y*aixxrol 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 aboud- hsbg8u u*a(t 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 weight okv 2har k. p8d/wsm3,i5ppyo0f $30 \mathrm{~N}$ 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 of2;9lfq*ungprmq or tjixf1g i,: k.): 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 thpftr:j.x n* 12r i o;i)lg9:fkgu,qmqe resulting length of the spring?

  Which of the following changes will result in an increase in the perio. t8( e8.jbjt/t:qog. vlant wd of a simple pendul t. o: el.jnq8(ttj/8wtab.vgum?

  A large metal cylindri9af 8k5/ a6mfha;eizx cal cup floats in a rectangular tub half-filled with water. The tap is placed over the cup6m e ak85 aif;afhzx/9 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 otaauvql3xi5 t ;rsfp:w15e 15 f identical heavy balls and lightweight rods. When two balls are placed at thesx5:irl35t t1qeap; av5 uf w1 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 diagram consists of w *vq1odv rjiow2 92,va 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 atgm6qy8dk1 ;u o various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, alldu61mo 8g q;kyowing the weights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-sprinutds6 8mpo:e j(b+(os g 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 to keep 9 i5av6znlmt ru6fk;w19;t u mthe rope from slippingtt1uz ;5 6rilfuka m6m9v9;nw?

  Jonathan applies a normal force that is just enough to keep t;a8pdm 57-) jjh pxbclhe 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 wha5 7blhx d-jm;p 8pa)jct 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 fihgx,hr,3qbqx x /a4sm4 e8ze w ;5b4ourst return to the origin?

  What is the maximum distance between the particle and the origin?:y,e br7(vz t + +mq u (.evv0bmjo41elxgs0od

  An engineer is given a fixed; egrjpp:fs jye9pk j(*.sm5: 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 torc k cb f784cxj;9jff)mque output of a hypothetical gasoline engine as a function of c9xfk847;fjcc mjbf)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 surface of a u 2k drju g30u:u5/y pqxpa h6ixx)g-e4niform, 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 recalls from Keg2/x hx au )ux jdre 36k5:-q0y4piugpplers 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 khoq:/ygx - b7a 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 ,o6wg:)e an: mekk9 in zrph()paper tube) and a block are placed at rest at the top of a plane with in)) 9r6e:z:e gk(okwnhai,m p nclination $\theta$ 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?