A cyclist travels at a b: f4q8:f) nygrzhc( mconstant 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 during the ten second intervn ;rd9z16 v rm+ddo8flal.

  Rank the magnitudes of the maxiq l8l it0l; *7oguey3dmum velocity achieved during the ten second interq g3yll; 0doe7i8u t*lval.

  Rank the magnitudes of the distance traveled during the bf*: x(lb gb6ften second interval.

  A crude approximation is that the Earth travels in a circular orbit aboa3x7s q -jy/ca 4pkx nm1pxh45ut the Sun at constant speed, at a di p4 /nxa4ajy5pmxxsh-c317 kq stance 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 withixe wm*2u/yzg 7sq ;4w* ey0ir 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 ax1h,yo(ee7 -to hneu 6ais 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 weiqidvwt( ( kqqef( .5h(ght 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 ,c5i/xi0cehwj5 8cn nof 10 newtons/meter. Alice is pulling on one end of the spring with aieic5 n/hwn cj8x5,0c 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 following changes will result in an incjyg yz)-swj5x7i3d 6 qrease in the period of a simpl-jzqij d5s g7)w3y 6xye pendulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with wqlbg/ wm5 h (y),ibr9vater. The tap is placed over the cup and turned on, releasing water at a constant rate. Eventually the cl ,hi5r(b)g9b y/qmw vup 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 identi se/iu0;.dqp acdb8u78e dvm ;cal heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the u; 8b0ecvdm8dis. /aq;epu7d 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 the1-68broi u; rwfbzyz.*hj r v) diagram 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 various pop4zlbro4c*p)k u/v g 2tcv d-6int, all hanging from the ceiling, and reaching lpr t4 cvdgu2c/4)vok *z- pb6down 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 the floor?

  A vertical mass-spring oscillator is displaced h w26b 5vib2,gne* vpy2cy*s zpez (1p$2.0 \mathrm{~cm}$ 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 the physics book to kee (cqm-zr /+nznp the ropem q/r(nz +z-cn from slipping?

  Jonathan applies a normal force that is just enough to keep m 43+.bq*dbm, wrdk xr86luzythe 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 h w4yb. 8d+rdz xrmm6k3*luq,band. 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 r2-hr rwwb zl)4pwm65m2d +vhucb *n9 particle first return to the origin?

  What is the maximum distance betweene(sz 6mycpbg6v tk;: 2aq mb0 dskj+/, the particle and the origin?

  An engineer is given a fixed volume cdtt .um 64qhr8ed6 ;p$V_{m}$ 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 grn4/i +k2wwe 2nj2 )yo6ihs dhypothetical gasoline engine as a function of rotation frequency. The engine is incapable of running outside of6h/y2r d) sogk42i jewwnni+ 2 the graphed range.


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched frq8h :mm3w3lsf9j- unl2m uz q3om 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 path of the particle as a parabola using the laws of projectile motion. Spacewoman Kate recalls from Keplers laws that every bj qhf8wz-33 3m 2l muumqln9:sound 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 Teflon ring of inner k4-r ifuoje z 2:s/na8radius $R$ 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 (lpo 2 uea2wpg.xb03, moike a toilet paper tube) and a block are placed at rest at the top of a plane with io.gu 3w2ope ,mbxpa20nclination $\theta$ 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?