A cyclist travels at a constant spef4 w0h/km14bp6ezlk.p 6mlwr ag6n,t ed 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 in48mgied7f .jc terval.

  Rank the magnitudes of theoq:s)s6.n8d y8r* jc1 yr. tmbtc 9ipd maximum velocity achieved during the ten second intervsyc i:.cd8pd.ms9 8r tj n*yoqbt r1)6al.

  Rank the magnitudes of the distance traveled qg g sta292lyok4lg/6during the ten second interval.

  A crude approximation is that the 7 *p7 x2w45)mgit+lp cppz nj/qxjp8hEarth travels in a circular orbit about the Sun at constant speepwq/+x x*cm7hpi)j42 gplj7pzp5 t 8n d, 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 wit 2ys,y0bo* meth 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 vernh5 3rpj 2en,ytical 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.intf.*8hm2. iujzf bw ;xs(c with 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 leng8s vj flj5tp).th of 2.0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of the spring with a force of 3.0 newtons. Bob 5slj)fj8.vpt 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 wilbffp5-wh)h2fok2u b4bg)8 mm l result in an increase in the period of a simple pendulum?mfg2kbmbf)2 hpf )-u hb58wo4

  A large metal cylindrical cup floats in a rectangular tuk(tp.oe b78f(zwazgv+ mh 7bv. -btq3b half-filled 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 water level 8oz+tvh3 kq((7m zg aebfbbtwpv-.7.in the sink as a function of time?

  You are given a large collectmn,gsj p 0c-za9 y)3mf3 xg05,xqzy nhhvbi6/ion of identical 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 hznqm56x0c x 0,s)h -myb3f9 nv/j3z a, ggpiyshown 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 g y;p,vhfhvkp ieug88o n-5p4vv;,y-consists 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 tijnt4,/ u xd 6i4c52wya gdjqj)ed 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 weightdjncdj,qw / i5 yatgu4 46j2x)s hit the floor?

  A vertical mass-spring oscillato i0,bmaplwe)x5uo kr/vr-3 -br 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 +r w;-ug*rvnm keep the rope from slippir-uw; nrmg* v+ng?

  Jonathan applies a normal force that is just enough to keep the rope frsbontb,*7;u5xl 1/ d;mwrrp lom 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 t; /5rmulxt1 ns*;rwb7d,op lbhe 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 tc )t:hote kvzoeeqxce7t7b;h4; 2 :l -o the origin?

  What is the maximum distance bet qi,n:efs 492kihr d,eween the particle and the origin?

  An engineer is given a fixed ps5b4k1(n8 e3fpiso+avl h 7y 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 hypothetical gasoline engine as a fun.l*zdvmk-q3 fr,zc3 sction of rotation frequency. The engine is incapable of running o,3lf .*rsmvz-3q cdzkutside of the graphed range.


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

  A particle is launched from the surface./awz)7nn))zk ua kqpuq-i ,o of a uniform, stationary spherical planetuz/ pq)kk) aina.w o-,z)nu7q 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 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 kt ocnfduqa)nr9 63(kn+w,n3 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 tube) and a bloc48py9vj cub-ge.um)chcl6 a( k are placed at rest at the top of a pla)pj a.9g6hyu- bcle4cc m8v(une 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?