A cyclist travels at a9i8jv1tc b: n6:fswhy- qqp g2 constant 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 duri6p -s(pe z;5etob)c8w3. *vs nknkhoeng the ten second interval.

  Rank the magnitudes of the maxi n+)c,9cwpvt t* -( hwtmjy*nsmum velocity achieved during the ten second intervcn+ w t-yt)ncj*9(tv p*s,hmw al.

  Rank the magnitudes of the hlb bgh093z) pdistance traveled during the ten second interval.

  A crude approximation is that the Earth travels in a circular orbit at c) 8gkbmj-b7bout the Sun at constant speed, at -t kg8)b7cj bma 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- ;u56zm;tkke a wdzl4 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 angt:l) pt hr7c/tular 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 we1o oh, ep,eq5vight 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 constantnt,7 gitx 1mdhc i2 j-it3m70t of 10 newtons/meter. Alice is pulling on one ,tn mii72gi0h1txc3m-td7 tjend 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 spring?

  Which of the following changes will result in an increase iu8 q//*uuwkveg,ur+f n the period of a simple pendulumwu/r,*g+ fkeuq/8 v uu?

  A large metal cylindrical cup floats in a rectangular tub ha4pakb;0(s zye0h )k8 q;qc( epaqd/ uxlf-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 completely submerged. Which of the fose (qe(84dxq/)ay c ph 0uqa;zb;kk0 pllowing five graphs could represent the water level in the sink as a function of time?

  You are given a large collection of identical heawi /+:fjblo9aw9a , 9ci*vjd zvy 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 o9:,dcljaz9jb wv*iafw / 9i+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 cylinder of rr 5ye5l.h :d9iany:jz adius $1 \mathrm{~cm}$ 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, all ha9xr/ae pxp m*5- xovh,nging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights tox9x*pvr / -a,mehpx 5o fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscibsr8djp(+*2r 9fx i ftllator 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 exert on the physics book usbxo,3k(vwd 4 y 43lvto keep the rope from slipping?ub4ow kv33dy,sl 4v x(

  Jonathan applies a normal force that is just enough 2lou:hba 7r33*humdoto keep the rope from slipping. Becky makes a small jump3 r mbaulh*d2h7:3 uoo, 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 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 to thes 13hrv 7)2q4pnvu+q6 sgfc kw origin?

  What is the maximum distance between the part+gu6*ch 7 hpn;i rnkowiatdd7c; 9u70icle and the origin?

  An engineer is given a .;nixzt8nly leukjyedi96-p8)h.n3 fixed 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 gasoline engine as a func x 2l4h5fphf e0z/n-ecf ugzso(jo(/ 5tion of rotation frequency. The engine is incapable of running outside of thj(-uole5hg 5fo0/z x (cf pzfesn24 /he graphed range.


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

  A particle is launched from the surface of a uniform, vbdu+k *;tz*o3 u6yy vstationary 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 t* vok;+y*z6ut db3u yvhat 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 supportedvbgq*z3 n)qp1 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 ve(q2a(q: r)tut iy2dq cry thin wall (like a toilet paper tube) and a block are placed at rq c)qat:u i 2rtqd(y(2est 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?