A cyclist travels at a con kwwg u;8low(r0i0v+hstant 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 accelera cyztfd+0;/jfi)fbs 0 tion during the ten second interval.

  Rank the magnitudes of the maximum velocity achieved during the tey*gc 3q1r4q m4ibwcf,6u1r p9a*lc zen second inter r cqf443,1pz 9cum wr1b aciye*6qgl*val.

  Rank the magnitudes of the distance traveled during the ten 8eod mplgh/hl0v/1;h second interval.

  A crude approximation is that the Earth travels in a circup 1f k(g 5,j:hwgagn6plar orbit about the Sun at cpg, kjapfhw1g :gn (65onstant 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 controc;r*w4swzygj 8u9n7i 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 rotate about a vertical axis with an angular3m akgx 5c pztrx(k(+q7 z97uba6 az*f vnw(,b 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 wev ph:m0vx j4 (ym b05duqga g(bin,4y5ight 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 of 1wm fa8b* 8f-.kmc :cgq5 w7eyt0 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 newtokbc q- .:wgec85 am8wf7* myftns, in the opposite direction. What is the resulting length of the spring?

  Which of the following changes will result in an increasgmz j eq8mx03;e in the period of a simp0xg qjm3ze m8;le pendulum?

  A large metal cylindrical cup floats in a rectangular tubf;:jv j8chl:r half-filled with water. The tap is placed over tjc lh8:jr;v f:he 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 as a function of time?

  You are given a large collection of identical heavy balh6v.u9 x/0px:v4j dcxwt8gpnyxm+a2 ls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown +8vx9 2/:ahmgc6vptpdynux0x w j4x. 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 consists of a solid cylindeuzzc: ju8jb70 r 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 poiny1fn-3 -,rjoa/ hs j)y+lorj dt, 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 weights hit th1+yj3j roh /dfsj,-y- rnalo)e floor?

  A vertical mass-spring oscillator isv*rp/wvpbx4hkd hxl 9: -9h,i 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 exa5 bxi8. 8xesdert on the physics book to keep the rope .8ex 5bx disa8from slipping?

  Jonathan applies a normal f um 5-z/(jyyvdorce that is just enough to keep the rope from slipping. 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(- dy/zjumv5 y 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 re/9vp2i lh vxh2turn to the origin?

  What is the maximum distance between the particle and the os)iwyxixkg4 b)+x0 v9rigin?

  An engineer is given a fixed va-d-+ w6 r;j6c 6rpruv +zeqsbolume $V_{m}$ 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 hj q cz12q9 w9kphfi,8gypothetical gasoline engine as a function of rotation f,cg9j pik9 w8qz2qf1h 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 surface of a unifoyns-j. 1x lmb31i(bdbq(s*uprm, 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 ts1sd1-b( jq 3 p *ilnb(xy.bumhe 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 7 0l*x 55jru doqz6hitTeflon 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 3cnzi .jj3 d; zw4y* mh,ngczd5c9x z+very thin wall (like a toilet paper tube) and a block are placed at rest at the top of a plane with inclxd3z3 *mz5,4.g zcjznhy9w+j ;cncdiination $\theta$ 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?