A cyclist travels at a constant sml ej*mevdb19z7 g)7t5z sb j)peed 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 theft ,-5q fj17tprr8x 7ga;4a uf ;pkovf ten second interval.

  Rank the magnitudes of ty 7 l jv6m:uh66yilns9he maximum velocity achieved during the ten second interval un6 sjmi 6yh97:l6yvl.

  Rank the magnitudes of the distance traveled d;5wchp 2oc v,ouring the ten second interval.

  A crude approximation is that the Earth travels in a circular orbit about th)v:8 vqxa)iyshfb 4r 4i7nu5ie Sun at constant speed, at a dish544r i:fnbi8vvqui sx)7)yatance 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 veloc5w ;o*v8mhbdeity $v_{\mathrm{c}}$ 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 xafg(*0,ah n2 zgc t+svelocity $\omega_{0}$ 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 itz5z3g*w 2 vawith 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 length of 2.0 meters and a spring constant of 105j+ 1suzy7os8e valdy03i8 a f 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 newt+is0auy8zvjol eaf 7 d135y s8ons, in the opposite direction. What is the resulting length of the spring?

  Which of the following changes will result i 49mk-gz:m huxf:e4-yhbz;m on an increase in the period of a simple pemf44m h;g o u:k :zhmbx9-ez-yndulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with w79 d9biehw8/rg irdz( ater. The tap is p(ge8 i9bz9 rddw7 rh/ilaced 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 in the sink as a function of time?

  You are given a large1db1w ;7oyl q )0cvkcf(qhjm, collection 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 shown on the left), the compressive force kqo,h0wq) lj;ccmb7(1f dv 1yin 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 diagoganh:)sl 5o ph s7-cbn z4fnm ti/3)2ram 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 tied at various 5o lq,o0z6 qedol b(jg+ti n88point, all hanging from the ceiling, and reaching down to the floor. The string is rele5 l6zoqqgt+j 8bi o0oe 8,(ldnased 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 dir 6u9csv(p.z jsplaced $2.0 \mathrm{~cm}$ 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 toyn zw+. 2 ip+6us9jrvp keep the rope from slippinjv+9rs .u+6i2z pyn pwg?

  Jonathan applies a normal force that is just enough b: w hr)w*e9b yph(v2; 0fdebvto 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 into tfe e: *bvw;hb92h0wr(dpv) byhe 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 retua. wzwc1h ( imkalioe/+*(en0 rn to the origin?

  What is the maximum distancen r5kcw +q:nw2 between the particle and the origin?

  An engineer is given a fixed /qp(1aj+yvn 7w tu,i zvolume $V_{m}$ 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 qso kexwuq67 3s4no+j v8o,k 8gasoline engine as a function of rotjs4kequ86oq8 3nvx,wo+7sok ation frequency. The engine 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 launched from the surface of a unif4ozea; s89q(u k0zq vborm, 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 laws of projec4 (vz98b0oe ;qsaq ukztile 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 of i* zu3+4usgpvuwka94 rnner 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 oa( c*x ltxk:2+9q:jhy+b r c(gze r;stoilet paper tube) and a block are placed at rest at the top of+yot2:b((* zaxe rc9j+ qsxhclk g:;r 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?