A cyclist travels at a eq*,s+ x j6kqb o x,f6isb16jvconstant 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 ten second inter, 5,5 xdbxjjirval.

  Rank the magnitudes of the maximum velocity achieved dut5g(h*u3hj,mc (tirog,r f o3ring the ten second interval o3rm(g(h gth5trj3*fiou,, c.

  Rank the magnitudes of the mxwv j8wtvi,x6c)3d n+ ev 2p4distance traveled during the ten second interval.

  A crude approximation is that the Earth travels in a circular orbit about the Sma v tb )jd 13wszbhqy:l(bz-995 9p6ygi9uyeun at constant speed, at a distance ofz hjy65id9)yp:y lg s quvb-9zbwb39a e91m(t $150,000,000 \mathrm{~km}$ 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 ve/p7lmm) ek/ajc(0pselocity $v_{\mathrm{c}}$ 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 axisjwcy x 3a5i/i/ 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 sp /ua feqmdc/ yp0i,vlu*/49a 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 25;ny aew(qyd. .0 meters and a spring constant of 10 newtons/meter. Alice i.da5(n;we yqys 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 spring?

  Which of the following changes will result in an increase in the perib3ecnsvq+d4j,;q avj jiq89(od of a sims(b9j q;+j 8jiad,qc3 ve4qvnple pendulum?

  A large metal cylindrical cup floats ic9; knbl0ifl( x l;a.cn 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 follol; ci9(n.c;x0flbk al wing five graphs could represent the water level in the sink as a function of time?

  You are given a large collection of identical heavy b6),ge:zklxj q-ra n7.;gya nb1sl uh4alls and lightweight rods. When two balls are placed at the7n:uab qk6,)y ar l1s-zxlg.eh jng;4 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 cow8+*qip4jn el9h c3 vdk: 7-e )yksxqknsists 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 ponqh22+4grk5rq q lv)bint, 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, uni )vnqkqh4+2g5br2rl qform beating sound as the weights hit the floor?

  A vertical mass-spring os rv of dkz*j,9gy.f;t)cillator 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 force does Jonathcbiu 790fxuxgs51 /cu)se01/d fb wptan need to exert on the physics book to keep the rope from slippic)0 xu1sp 7 sd9feiw0cg1/fu5u tbx/bng?

  Jonathan applies a normal force that is just enough to keepweve -pej,-pk5nvl(d1j x r5: the rope from slipping. Becky makes a small jump, bareld e p:vexkljv1-5,r enwj5-(p y 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 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 retu8 (lrbno p9 rpvae61rzl,k i+bp 0h+n/rn to the origin?

  What is the maximum distance between the particle zdgtre :1ac-)and the origin?

  An engineer is given a fix 6a 0jo .h:x:vlfhkej8ed 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 of a hyp2h,g.e86lfn c3efi8d )hx dblp 5 woe;othetical gasoline engine as a function of rotation frequency. The engine is incapable of running outside of th6 , 2 e5eidwlh8behd8onflgf.c)3; p xe 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, sta b ey44yosz2;vtionary 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 o4zv4 ;esyy2bthe 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 ring of inner k x. yrrh-xy)q1l99x 2,setqqradius $R$ 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 c rjk(jq0-qoenqit c;i(/ t*,paper tube) and a block ar qtkt-(qe0ij*,/ ncoqi(jcr; e placed 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?