A cyclist travels at a constag ;-frkyv3/w8j to i:ytz;9eant 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 8o1)0rl;bu ajp2mdeh average acceleration during the ten second interval.

  Rank the magnitudes :v8/bujk0jsh of the maximum velocity achieved during the ten second inter8k 0bjs:v/juh val.

  Rank the magnitudes of the distance j8s f85j*jyuxtraveled during the ten second interval.

  A crude approximation is that the Earth travels in a circular orbi5e o+sp4au w3nt about the Sun at constant speed, at a dn5auo pe4+s3 wistance 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 ww,50fgnd 19i je +gcgxith 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 vertical axis with aneh: 09h .v:uqjj0:j 0 nq zxwrxjdds59 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 opm5bxh1m, jr.0f 2 rk.z.pjaqf $30 \mathrm{~N}$ 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 lekb3kfc-wa2 ad 2 io1 l60-z:c,:zkgyjwvybd4ngth 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 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 sprinzwjy2ca-a z :d6 4132 kbokyc0-wibfvld:, gkg?

  Which of the followitro9r-qf,7psp mjn *1ng changes will result in an increase in the period of a simp n1o*prr-7smp,t9 qjfle pendulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with wated ez(3l(:w-gjla --rpzun4ofr. The tap is placed over the cup ulnpr(z-:e 3 afldo-gz(w j-4and 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 i-6 qube ni*:x2f:ivxddentical 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 shown on the left), the c :x-ix6vqe*uf:2nd ib ompressive 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 consiststkcgzp3 3ue , x28q9juv8o6-wqhine7 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 tied at vart4f;j. 9ja/l2rr gz8g+.sf cf5gfxyaious point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top/.9c5jya l8rfa4ftfgs+g2z. f x; rjg, 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 dis ;xb :kv7,gsocplaced $2.0 \mathrm{~cm}$ 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 td u1tle:/ kc;k*tloet y4)v.fx 23obto exert on the physics book to keep the ropc*of4 k/dt1)x lt u:eb 2t lvtye;k3o.e from slipping?

  Jonathan applies a normal force that is just enough to keep the rope from slippiq/+c)t.4ltg n r(u/0 adg;zfi6iuhltng. 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 what0u)lcgi g(aq/+r.t fud ;l4hit n/t6z 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 part(e6b n d*kf6qjicle first return to the origin?

  What is the maximum distance between the particlqffzf-3 c g5z;e and the origin?

  An engineer is given a fixed v)0vq, )-eclp /:eyycx,crglfw*t 5s a-gtf8wolume $V_{m}$ 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 g;p;j7h oyz6 cdxg,(xihga m*5asoline engine as a function of rotation frequency. The engine is incapable of running outside of the ( do hxmp6higzg,5xcy;j7a *; 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, stationars (/;c 2llh (0m.rdacfotz:vls11nj vy spherical planet at an angle to the vertical. The particle travels in the absence of air resistance and eventually falls bllvst (lm0h1o2 jr;(z cvfc/.snd:a1ack 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 c 9zs+jx+hilo5:k h 2ha 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 ys+z o09x hu3qa toilet paper tube) and a block are placed at rest at the top of o q39+szuxyh0a 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?