A cyclist travels at a constiu0v2*u1 3ra6* vzu/7y4 vzh dtsnpthant 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 average acceleration during the tl ybw(fs0/k +keno 3(t6jfl*s en second interval.

  Rank the magnitudes of the maximum velocity achieved duri jhogg 1(qa -70fdbn0tng the ten second interva7q gjd aoft h0(1-0bgnl.

  Rank the magnitudes of the di l z20pjhh:n4 de;zm1astance traveled during the ten second interval.

  A crude approximation is that the Earth travels in a circular orbit about t, , fgrzn3gy+2 au ;es;low8gnhe Sun at constant speed, at a di,s+2 , w;;ug3 glofr8 nznayegstance 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 w p(m ud a;b kw0j6v6u)* tzgwe4x3gwy8ith 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 an angut,dze/ 6 q+g4mnip7i 2aof.fugm3p* e lar 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 wei /h3, /.1ohjv juq u ae0bu)mgskay*g8ght 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 2wv*s;gawp 0h01kn; k u.0 meters and a spring constant of 10 newtons/meter. Alice is pullin;ks;u1ghpv* 0wak0n wg 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 spring?

  Which of the following changes will result in an increase in the peri 5p0wapx r7ih:od of a simple parw0p:ix5 h 7pendulum?

  A large metal cylindrical cup floats in :xj +c*6-dxw 2iu:e 0znnhlkua rectangular tub half-filled with water. The tap is placed over the cup and turned on, releasing water at a con 6j02izwn h n+ldxuk*xce u::-stant 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 identical heavy balls and lightweight rc2itg(wk89 s7/phkktods. When two balls are placed at the e8/t kgsi hkpt9 ckw27(nds 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 consistscdqtk,0z pzln6qi6p 1c;(lp 2 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 vari;kc(p.3rqoj4 p djlui /6b 5ygous point, all hanging from the ceiling, and reaching c rqlop5pd/ ;63 iy 4j.bujkg(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 weights hit the floor?

  A vertical mass-spring oscillator is 6/er)snvcn z tjw2:)i+b3gg fdisplaced $2.0 \mathrm{~cm}$ 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 ckg/4ocj hxs 9w3)cv 6to exert on the physics book to keep the rope from slippingsc/hg 6)4oc x 9w3cjkv?

  Jonathan applies a normal force that is just enough to keep the rope yf6)px+ 1 yzzmb l,xbsc1a2c( from slipping. Becky makes a small jump, barely leaving contact with the floor of yc 6xpmb1z c+1bly2f s( a)zx,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 km/j/brsz x4 /zc(y 9yhx;gd/k.nu-i particle first return to the origin?

  What is the maximum distance between the particle and the origin?ip b 5kek8k mmxe()5rf k418lrpkgn-.

  An engineer is given a *h0epnxgn/wz jy2 6u6fixed 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 ouvm 8,l4fk5cg stput of a hypothetical gasoline engine as a function of rotation fmg85,lvkf 4cs requency. 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 sureajt a) v6r,hnj jo/,c78gh8bface of a uniform, stationary spherical planet at an angle to the vertical. The particle travels in the absen6 8gvh tanb78cj /r hj,j)e,oace 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 ja/p4cvtf*z:mv au (,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 ontq0ici8 jpvb +)ypbe o6,v 2nk*f10a toilet paper tube) and a block are placed at rest at the top of a plane with incv00o oevqt8)n+1fpc6* bn ypibj,k 2ilination $\theta$ 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?