A cyclist travels at a co9xg(5 4i5hqetmpv x x4nstant 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 acceleration during the ten second intervk :quukvv5a. 8- k,mbqal.

  Rank the magnitudes ofzwp)r0kn/:lkxk 7i emlr*: f) the maximum velocity achieved during the ten second intervfzr0l /:kx:nmw*k i)rk e 7pl)al.

  Rank the magnitudes of the distance traveled during theb t1.bzi9ubbf (e/q3 n(-ug+rorx ydm71ao3c ten second interval.

  A crude approximation is th5 ej 02k.hpcliat the Earth travels in a circular orbit about the Sun at constant 0lc kj2.5ph iespeed, 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 with velocit3 f3n 8n3sznihy $v_{\mathrm{c}}$ 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 axis witimjik4b 0/ at3rnq0 2uh 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 ax;*ugpf5 oh tyxe c;6dm1+eu 9 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 mete6b +jueg 9zr3srs and a spring constant of 10 newtons/meter. Alice is pulling on one end of t+u gz6j9 e3rsbhe 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 in the per yj-x;+t-+xtx sz c1uriod of a simple pendulut-x1+xj ;+xczu- r sytm?

  A large metal cylindrical cup m gkw3dw6:qq5floats in a rectangular tub half-filled with water. The tap is placed over the cup and turned on, releasing water at a conw gqq 3:m5wk6dstant 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 identil+/ xm/4p,ik.pfyjm q cal heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their +p my mjl/pi.,f4/xqk 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 a solid cylinder of *bqm y8-.f lhuradius $1 \mathrm{~cm}$ 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 weiv63yvx6qi;ppmb ;iw nfwk)272vbgu7 ;o5 nvx ghts tied at various point, all hanging from the ceiling, and re;m v 6)pu5o;vn;vxiw 6b 7vyn2kg2xwi7 3qpbfaching 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 oscillator is diszjyhaoc 335 t, id4zw+placed $2.0 \mathrm{~cm}$ 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 onz6sx 4j8 gnvk7;vlv 6g the physics book to keep the rope from slipping?x;6 ln z6g48vj7vvksg

  Jonathan applies a normal force that is just enough)k;sye1t iz2z k6qbq, 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 i s1e2 kqi ;6ykz,qztb)nto 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 first return to the gb;y o h*eu4n1kte5,4 /atemg t+*gl uorigin?

  What is the maximum distance between the particle andz 3hx87xlfjv8c08 ao51 su.guznax)o the origin?

  An engineer is given a fixyd02.q z4tk fzb0ddn2ed 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 a hypotheticvxh +aynk(5z- al gasoline engine as a function of rotation frequency. The engine is incapable of running outside of5kx+n(va -yz h 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, stationary spherical plane. +xk zb; mpackq)xt:e3h ftyzs)u;- 1t at an angle to the vertical. The particle travels in the absence of air resistance and evt-z:yx;1pk;sz q))3fe .uhk +amxct bentually 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 suppor r5nt 4s9fa zb.5mo-hmted 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 l*iosf meh 0/ja +lkl;h2(x;mtube) and a block are placed e l+mx2*sm hk(l /jio0;ahf;lat 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?