A cyclist travels at a constant nxx/e2sk/ /sd 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 t dm7xbp1b k57bhe average acceleration during the ten second interval.

  Rank the magnitudes of the maximum velocity am q7 y ew+wtou.;1qqsur4, 8jhchieved during the ten second intervaq.hws;yu, qe 1 7ojtrmu 84qw+l.

  Rank the magnitudes of the distance traveled during the 039hy)wb yhk ften second interval.

  A crude approximation is that the Earth travels in a circulahucdj c4j(2 :uzw)8h ir orbit about the Sun at constant spe8cuj2ui hj4c( dw)h:zed, 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 velocityzj v(p0imyov3lkh 57yl)a;/)k 1ngfv $v_{\mathrm{c}}$ 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 an angular velocitj qk0:;lbvc+; bf9ed my $\omega_{0}$ 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;qo.knj8h1q x 3ck wn- 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 equilibriume zj m;p2bzhrceau5 e *m0)*.l c0lw)z length 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 ;muc*m5epwc 0*0zlrl2)zzb . )ehj ea resulting length of the spring?

  Which of the following changes will result in+rczrg88 t1k n an increase in the period of a simple pendulumtz8kcrg+8nr 1 ?

  A large metal cylindrical cup floats (264sy,s gb c 4peaztrin a rectangular tub 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 graphte srcyzps, a46g2(4b s could represent the water level in the sink as a function of time?

  You are given a large collection of identical heavy balls and lightweighq2v2ecm.ch bf :jt12 g5zqgt)t rods. When tc qjg22ze)qb:hv c 2 5m.g1tftwo balls are placed at the 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 a solid cyli ,qii5d -bpgpp ns:l 1+b;,h7rdk xv.r mvxr6/nder 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 varioh cecf6n ()/(iqo nk; 37reennus 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, ;7n)kn3/ rc6(ee qef ih nonc(uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is disp+2aw9 8vz7;a t/0fmk ) qcrljrjc ol7ilaced $2.0 \mathrm{~cm}$ 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 ,clgu+ 7epg8v, p( gehthe rope, p,ge p7g+v8legu(ch from slipping?

  Jonathan applies a normal force that o iq*+8itf2 gcis just enough to keep the rope from slipping. Becky makes a small jump, barely leaving contact with the fli i f*qt8+goc2oor 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)lqcv+ o9 /1rrnxi*thict j1 ( particle first return to the origin?

  What is the maximum distance between th. dzz+ ti,mhd wu:5m;le particle and the origin?

  An engineer is given a fixed volume 33ccdeon )ru3 $V_{m}$ 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 torqcdd4 musry d4y+n1u e6-: 2bk,onxc .o )wtlu*ue output of a hypothetical gasoline engine as a function of rotation frequency. The engine is incapable of running outside of the grapheru42wuco4 6 s1 b )*o.-ycelx dm:kt,n+ndd yud 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 z7 00h hwczvgx.6x(x8zd tvd4planet at an angle to the vertical. The particle t7 c z.4vx( w6d0ghxz8h0ztvxdravels 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 rib3h1 wx7lqnpm 6uj2v t(zwx(8ng 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 blocky 7wrd k ps ,a-5ohet2doi;-23nzatx+ :l;wlk are placed at rest at the top of a p,nd ot dz-wpre5y :xta 23lhos-w;+a i2l7kk ;lane 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?