A cyclist travels at a c/ jzy g*i3h btru3zr97jbdsc7vit :90onstant 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 aw)x eiu0 /vzc3vfd9 y:ui 1kdl;)gnu( cceleration during the ten second interval.

  Rank the magnitudes of the maximum velocity achieved during the tewd o3 339t sofjgc-t0t,g.e thn second intervast3gtw -h3 gtet,0.j dc3oo9fl.

  Rank the magnitudes of the distanc1+cpdh15u1 xh e dbow*e traveled during the ten second interval.

  A crude approximation is that the Earth travels in a circular orbihq1h g f*ss0 a-t:m9wvt about the Sun at coag qs vf*h :m9tws-01hnstant speed, at a distance 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 9xxvl5 /el;nj+qpy 2sfz+q6r 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 angu8u.bacrvh upv98 (2ds 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 asju,z8 pqo8n9hddw(f.5u4c with 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 equilibriu4 bmoxtt+07tc o;ug 21wudh d-m length of 2.0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of the spr2+u4to7bm-0t1 ddchowg t ux;ing 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 followingtd;b.vnv z8s(,lj yg/ changes will result in an increase in the period of a simple penlzdv;/8g,tvb. yj ns (dulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with q00q.3wybtx x 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 level in the sink xyx3. tq0q0 bwas a function of time?

  You are given a large collection of identie/qg/c m)p t wom7n5:y*-jwiacal heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attractio j7t)-yqpmcgeon /: w*/a5mi wn (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 consistj0vp:o9:z m qmyl)x.fs 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 wem0am )y /a*s(rrq a:fdights tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing :* /dr(arsma a)qm0fythe weights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is displac ong0keuu1*d/nv )+tm ed $2.0 \mathrm{~cm}$ 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 ip+uy7w*zr*jzev9 b:exert on the physics book to keep thez vzry i wp*eju*+b:79 rope from slipping?

  Jonathan applies a normal force that is just enough to keep the rope from sli 7hvncwf9 pszuf yqn - g+54+enk/ad73pping. 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 the groh fuq+vadkpw +n 7 7e3y/f-snngc5z49und? 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 tq,c0s: ei2egnz4l9qu he particle first return to the origin?

  What is the maximum distance b(z31w dr/ phwl7prnz: etween the particle and the origin?

  An engineer is given a fixed volu wulqf98p y n*6org6yqo2+.su me $V_{m}$ 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 gasoline engine aa79n gl4:b(qqv.jxoa da w +j(s a function of rotation frequency. The enq+ . ajgqvoba4aj97:nd wl(( xgine 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 frofh qmm.gks)ap g17 zja1 dk8/1m the surface of a 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 p1d)/qa8g1 kmsf mjp1h 7g kaz.ath 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 supporl24sd) k clb.5ipd f-v0 gogi;ted 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 0vi-6qu):7jrvwi5 7 n h joas (ptqhi;paper tube) and a block are placed at rest at the top of a plane with inclinaiqj7 pvn7h)- oi5js: ih;avqt (6ru0wtion $\theta$ 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?