A cyclist travels at a constant speed oynsf -*(/ md pd8fqcm4-jx 8eof $22.0 \mathrm{~km} / \mathrm{hr}$ 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 intervafxo /n+ eg:cu1l.

  Rank the magnitudes of the maximum velocity achieved during the ten0h8 oytp.fcg * second intervaltp8cfh *0 gy.o.

  Rank the magnitudes of the distance tri4ljty7hkfy 59f0 l5 m+0z hkoaveled during the ten second interval.

  A crude approximation is that v:6n).(- dkwwz,1j czg jo-wk-mek xu the Earth travels in a circular orbit about the Sun wezux6og.(kvjk-)1mj z,- w c-ndk w:at 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 outq il46hz8hf)5:omw ao of control 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 vernan k5 s-.e)v/9sg3 jpvkr xy5tical axis 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 1p1bzx9;1vas9 rh s;oxtb,y wwith 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 length of 2.0 -4ungx/pj0jx meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of the spring wit0j ujgx 4nx/-ph 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 will196wxhz tcooote :vxk7r8,c;.x9g ma result in an increase in the period of a simple pendulumk . ,8gh6e ;z ov1wcttm9oox9xrc: a7x?

  A large metal cylindrical.d7 .2g:i 0hbutepodf cup floats in a rectangular 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 bottf 7 pb2 i0:dh..goeutdom 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 balls and lightweighhpag79 xyy*ta 6 /zww/t rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the comy/zaw/* pha 79xtgwy6pressive 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 ov b ihu1p(th4*f 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 st2mry2xxh6 )gijji4lzz a4 q*i / (x.ttrings with weights tied at various point, 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 beazm 2r4 t/y6(x xli*.4 2iajzth) gxqijting sound as the weights hit the floor?

  A vertical mass-spring oscillator is displacda:6z g8 cmw7yed $2.0 \mathrm{~cm}$ 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 thea vr/jjr fo1j9vhccb8 9dj ;io (7**ri physics book to keep the rope from slippiovair*fj rj8 ovj 9c(9dbc1;/hi*jr7 ng?

  Jonathan applies a normal force that is just enov,-0qr +npc ohugh 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 hand. At what speed does the box,v0phn+q -rco 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 po xbgib* 3b 7 jpbb qg2f2rg-+b3*-sl2okg-lbarticle first return to the origin?

  What is the maximum distance between the partic 0q xn6nnj6*cmle and the origin?

  An engineer is given a f 9aqg1ing65o3((2kri aex:pce,ycjcixed 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 a49 8zt1xfghrhie u(m :x .z/oe hypothetical gasoline engine as a function of rotation frequency. The engine is incapable of running ouhxexfe4h8ozt :r . m1zi 9g/(utside 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 uniform, stationav vruq/4o;9sri7i m90pvj1ubry 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 urri9v;qv 17 9is m4j0ovpbu/ 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 Teflon ring of inner rg xbdk*zg/*9 p5 50m+.dkupsjfoh4yp adius $R$ 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 paper tub/ 8i2n2n/*fk5.g mpdxz zdtbce) and a block are placed at rest at the tc* fz 5dg.nk/z2 2 b8xd/pitmnop 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?