A cyclist travels at a constant spey 1k;z;,s qr rnkt4o0f-ov3zved 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 interb3x3mra4lfke9 0 hgn (4y 5udlval.

  Rank the magnitudes of the maximum velocitt.i:q . 2balrplxae0 uz368 xny achieved during the ten second interval3a l0np:qi8tarel.bx z 62.x u.

  Rank the magnitudes of the distance tybi9v 7uwc3a:rj)5d z raveled during the ten second interval.

  A crude approximation iypb yu3y ww0 17fcd 6psr6h;3qs that the Earth travels in a circular orbit about the Sun at constant speed, at a d3hwb6ryp1d;p f60ucwqy3 7s yistance 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 c/ ys3ad zr b 8i7-w+k*kiolfa)ontrol 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 rotatee7+bn,s1jq4 gyh6m 7jylj e.i about 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 weighem9sh dy 9)x2zt 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 sr): 7 qx(hlle( vi6-yq5srfe tpring constant 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 spring with a force of 3.0 newtons, in the opposite direction. What is the resulting length -(rsvylq:lh xt 6q 5e)i (r7feof the spring?

  Which of the followinsauf;8c2 q)(whacp9i g changes will result in an increase in the period of a simpl)up9fa s q(;chi82awce pendulum?

  A large metal cylindrical cup flot3;-09jw zsszoqo 4olu6 tj4 cats in a rectangular tub half-filled with water. The tap is placed over the ss-l93q6cujj0ozt;o 4zt4wo 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 identicaltuup w4 n/(zi1w8lt z5i,: sfe heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational atu1f(w :t8i, s5t l4uzz/eipnwtraction (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 soli90vdfb*m - gppt0x: lhd 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 stringsk4 cdflbv hq9wcuhv sr.4lw3+:t37o0g nj6c5 with weights tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the t 375krlsdc.g0t boj+c3h v:fvq94whcu 64nlwop, allowing the weights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillautgigb:t:u* 2+j j,f btor 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 forcepz(c(s p s*h ,tzse cv 4wuk+t019tfy: does Jonathan need to exert on the physics book to keep the f s 9zt*wchk p(0zc1,:t(y tu4+svsperope from slipping?

  Jonathan applies a normal force that is just h .j38mbo qp ,s,v,d.roul(gie6tot 8enough to keep the rope from slipping. Becky makes a small jump, barely leaving contact with tuh,6,,t8p3 o.8ojq d rm.gt svoebil( he 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 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 thb//rwn gh. c :pi2*cxje origin?

  What is the maximum distance between the particle and+2 n(zbt j)jpc the origin?

  An engineer is given a fixemu;ojm-f) e y/:u1fl ed 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 oyb my.lp:p;)d,7zocg f a hypothetical gasoline engine as a function of rotation frequency. The engino;y:m, pd 7gpb.l)ycz e 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 launch2;vxcos0g 8n 6epv p7ued from the surface of a uniform, 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 lawsx0ups vv72poecgn ; 68 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 suppotfgif,dz)g ge(2b0k:w p -/ubrted 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 walld0 2ige17 zwtt (like a toilet paper tube) and a block are pz21 it7td ewg0laced 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?