A cyclist travels at ae93yv9*gk 29up.2u bg,, p wzezdnoal constant 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 accele7- jp.t60pypnpzn6fa 3 lc* qlration during the ten second interval.

  Rank the magnitudes of the maximum velocity achi7 a3 hu1 iyggdin(8iw3eved during the ten second intervaai73uig(iy1wh8ndg 3 l.

  Rank the magnitudes of the distance traveled during the ten /ocd;29 64 4bvxgsbmafb.0sna7l r 8vlcg1 eysecond interval.

  A crude approximation is that the Earth travelsuf.mwuzesy p( f:wt yp17f ,/8 in a circular orbit about the Sun at constant speed, at a distancy e:p.7/ zff, fu1pwmusw 8y(te 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 outy) ;kq;jfe+5hc vz) fu of control with 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 angular velocity k,9 )b*qlhap c$\omega_{0}$ 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 weighx;wa efuj8p8 9t 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 2oe(rb9l5i fl6 3.h 3ls-qc rbd.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 for9qe3olrs-bhdrlf. 5 6(3blic ce 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 period o1)lnyw(c;s1z32 xywxhen x (zf a simple1znn(sw3 h( )1xxzl2y ce;xw y pendulum?

  A large metal cylindru(i ctz-7p soamsf4y 0jm87 8rical cup floats in 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 graphs could represent the water lever ssa( m78f04 iujoz8y pct-7ml in the sink as a function of time?

  You are given a large collection of identical heavy bacy87nkluwn4u nd x426 lls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual grn7n4 8w 2luu6xd4 cknyavitational 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 yfl8w. ib8j0jl uaq/j9va. .s b mm.5kconsists 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 w 7/wcgpmywkbh7 77s4 o1fdc*yith weights tied at various 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, uniform beating sound as the weigh7k7bcfw7w dg /hc*7 p14s moyyts hit the floor?

  A vertical mass-spring oscillator isl ar-;z864c o*hixe yoh2qoey9vf*9m 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 Jonathan need to exert on (aitb;n; t7/xmvb bl of4*lo)the physics book to keep the rope from slipbal;tt o(*i/;mb )nb vo x4lf7ping?

  Jonathan applies a normal force that is just enoug.is skm45 :*lnvav5 hnihtu z0q;qq)*h to keep the rope from slipping. Becky makes a small jump, bar5sk.n s qut4v):;l*5i ihqza nqvm0h *ely 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 return to the o 1 -pjlvsz1kwyk 11dh0rigin?

  What is the maximum distance between the particle and the or.8 rih8dcuv3cigin?

  An engineer is given a fixed volumk,tgj 5y:a4+0 5d 3scksuf uaue $V_{m}$ 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 hypotheticsar -6xr.z8v+ b6 wxofzd:8j fj9k;e0y q9gbcal gasoline engine as a function of rotation frequency. The endy j0k f-8r s+b.a z9b9re:xzc6q68ovjx f wg;gine 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 uniform, stationnq55npxj /u3qary spherical planet at an angle to the vertical. The parnx p35uqjn5 /qticle 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 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 supported4( j+3g gf8, - 0tjvlpchpdapa on a 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 a toilet paper tube) and a blo0ba gf2gic9 p)ck are placed at rest at the top of a plane with incbg 2)i9c0a gpflination $\theta$ 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?