A cyclist travels at a c750uvi tn*2uetye dd3onstant 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 du;r2lig / m9z/k4eqtvdring the ten second interval.

  Rank the magnitudes of the maximum velocity achieved *0 s ogr8w4,m2v*w uc.n95gzatwz:xylosy1o during the ten second interxznlmr,1*o 05g2wuoot89as. :v*y szw4 gcwyval.

  Rank the magnitudes of the distance traveled during the t z,3+8blxahf0u wlp*nen second interval.

  A crude approximation is that the Earth travels in a ci2 2qi,1j mwgdmrcular orbit about the Sun at constant speed, at a dista2q1i2g m jdm,wnce 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 contro2cw 4m*n7466 h tzi8wvq nsoxut(fyk.l 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 rotatexr8b u g4:ekq*ww6 8jq about a vertical axis 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 a we l6b0qr(xbpc7 ight 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 1utf1gj,r om8h2v2c, d/zzix 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 resulting length of the spu2vjmg81 ifzrhtz1c /d 2,x ,oring?

  Which of the following changes wil-vojm(c va4rl) h:lj9iei,+l l result in an increase in the period of a simple pendu4:celm il9 +vo(l-r jaivj,)hlum?

  A large metal cylindrical cup floats in a rectangular n. dxsexx(h8wtw24 .gtub 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 completelyx8gsewx 2.4 wxd t.n(h 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 2f9t atj) fmj.tc28ev rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the lef2.jmftttea8cj) 92vf t), 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 cyvj*g7z)7)ewl5l tyy cn*iv1 jlinder 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 point, alvhw:h9 .hm1)arfq8ji l 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 weights :9ir1hq hmfawj8. h)vhit the floor?

  A vertical mass-spring osix0ba1o2z unz-ffe l 5k65p2 ucillator 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 Jonathan need to exerrd v8+xup.hn(7ja ,8 0)bv kx ee+elrst on the physics book to keep the rope from slipping?,)akl devxse.7 e( nh08ur++b8vx jr p

  Jonathan applies a normal force that is just enough pee8q kc86v5tto keep the rope from slipping. Becky makes a small jump, barely leaving contact with the floor of the box. Upoetp8 65qek8cv n 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 c ;315zg;n0n2btfko 9uuo sgh to the origin?

  What is the maximum dk5iyb+/w iem3 istance between the particle and the origin?

  An engineer is given a fixed n/h4m0wa.af i 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 hypothetical gak q;ggmqfqr * -r 2cuszo;u+9*hayl9-soline engine as a function of rotation frequency. The eo;2y au9g*r ;z+qq g*qu -msc-krf 9lhngine 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 -loh rr /;e2ye vhh45ca uniform, 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 tro/hh-vlherey; 4c5 2he 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 elurgo7w-7 qsw*8bq4 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)bg u.x )ls6ze6 and a block are placed at relu)geb6.6szx st 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?