A cyclist travels at a constant speed/d. sx9rgtjnz6- v3jr 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 im1zst / g.s08oce hj,(q9eqht nterval.

  Rank the magnitudes of the maximum velocity achieved durin d8w -b8+iv,yh pxaq5c6o0(bqmu6dbgg the ten second interval ,p58g+mdcvqaohb (biqx 0bd6yu6w 8 -.

  Rank the magnitudes of the distance traveled during 4xu*xua ktt,w74efr, the ten second interval.

  A crude approximation is that the Earth travels inkkt1dx)w3p) cs ,z/j ;pi * c:rwulrd; a circular orbit about the Sun :d;ldkwpxc)z r)uj /ri;s1kt,p w*c 3at constant 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 velocm*dn7;to 7rxl 9 2toyrmv v lgel8 xkz353f6k9ity $v_{\mathrm{c}}$ 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 anh1lcqur18 ym1ogc52 g gular 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 woodxmzm3lgq:0m + 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 equilibrium lengthzsfw l8ons5/7 of 2.0 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 sprlosw/sz8 f57n ing 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 period of:erg,hj4 vs,k a simpl ,e4sjkr, ghv:e pendulum?

  A large metal cylindrical cup floats in a rl6:je*i hl 7 2vbkoar3ectangular 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 compo* i2h:ak63ble l7 vjrletely 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 collecti3ric( sf:h5l mla+ )eeon of identical heavy balls and lightweight rods. When two balls are placed at the en(l:ise ) l+ hmr3ae5cfds 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 dqmo: h.ud1y0 k w6wjt4iagram consists 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 va ()lf8ps+w coly4ea2 nrious point, all hanging from the ceiling, and reaching down to the floor. The string i+pfn ws l8)( oyc2lae4s released at the top, allowing the weights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is displaced9.4dz)g6 uretz6i szs 28ke8h bo2lfd $2.0 \mathrm{~cm}$ 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 Jon 3y6mrrpjuv2ebr w;:)athan need to exert on the physics book to keep the rope6rrpu: b 3mer;yv j)2w from slipping?

  Jonathan applies a normal force that is just enough to keep t03 j-xc iy*zsthe rope from slipping. Becky makes a small jump, barely leaving contact with the fj-zcxy*is 0t3loor 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 fi4ciz uj))gk0rrst return to the origin?

  What is the maximum distance between the particle and the o2l;bqx,0j (cue6oldh)i :o eorigin?

  An engineer is given a fixed volumdma e chdyu:f4e.p ;(x568mjy e $V_{m}$ 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 as a fun5sa ;jpl+ vt()fi yz7qction of rotation frequency. The enginefi5)+lzy(7 ;qv s aptj 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 su4wgkqfkaoe )6wu 6b: ix6cc/u;jl 47jrface of a uniform, stationary spherical planet at an angle to the vertical. The particle travels in the absence of ai:iq;u)bjlwku/ 7xfj66cek6c4a wog4r 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 supported on a Tef /rywl uzco3*d g,k5*tlon 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 wallo:) h phrzn,o17at-xn (like a toilet paper tube) and a block are placed at rn r-p)hanho1, z7xt:oest 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?