A cyclist travels at 3i,clo (t+z xe*du+eb a 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 duringezhfuo0-l*m+ 58fzg v4 : -wnr-fttlf the ten second interval.

  Rank the magnitudes of the maximum velocity achieved during the teco l;u+x3x1 f9nz+xg dn second interval. 9zu1xxf+ dlc;x +go3n

  Rank the magnitudes of the distance traveled durings-1 0wfih bs /cy:yrp7 the ten second interval.

  A crude approximation is that the Earth travels in ao6y8h-zmcctsz) 5 q0 w ag(hq+ circular orbit about the Sun5-q8(y0m c sha)zg+c wzhoqt 6 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 out of control with velo ze/zf3*o 42i6p znzi62lkmewcity $v_{\mathrm{c}}$ 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+x wls;3q x d7+nlhh7oz69i nd a vertical 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 with a weiv 7 3/lrugun)wght 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 constan6bonem47: st9vjgi c 1,wsy;bt of 10 newtons/meter. Alice is pulline,y t4bb7nomi;6j ssv1 gw :9cg 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 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 a sim z /rt 6z;llp/8auypn+ple penduzl/ayl+r 6pzp/8 nu; tlum?

  A large metal cylindrical cup floats in a rectangular tub han p1;h/jm0v75 thcfjblf-filled with water. The tap t0b jjh7v/fhm c5p;1nis 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 following five graphs could represent the water level in the sink as a function of time?

  You are given a large collectios /,mcdzytb k423ev r/*r )tjqn of identical heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact 2,)* rrt/e4ds vczmy/ 3bqjk tthrough 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 diagram consists of a solid cylinder of r7m)xb( 7 s*cm8 khkfppfn f2:p)4q8 usvj 6igoadius $1 \mathrm{~cm}$ 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 we con2/io9juy emsw8v if6p5yg,5awj48 qd *s.ights tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is releas2e5 o8w, 8 *g9.i5j 6jipyanso4 fsyv /ucwqmded 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-sprin:54iypbll5ip) nnh :wg oscillator 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 to keep2aid/fwa 4+2dul 1xfipnco ,1 the rop+fwf2d/nui l ixpcaod 1,1 24ae from slipping?

  Jonathan applies a normal force that is just enough to keep thtncymk (in,++ejjc7 .0n pog-e 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 g cn++n0n, o-yp.(j ctkije7mstart 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 the dkp-f5odso m:c6lya0.d 4jt2 d rr;h (origin?

  What is the maximum distance between the partic ybbk,t pox6*;le and the origin?

  An engineer is given7meou -ci2, zx a 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 a +cqbu(k 3rnl5s a function of rotation frequency. The engineb(3 krln+ q5cu 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 uniform, stationary spherical96(1/t uu(kwo1p itp-:wjo xtlhtg t , 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 lawj o(g1w/hotp6:,itt ( tuu lwx-pk9t 1s 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 inneq- bp;ke.+pds1i te0 jr 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 wall (like a toilet pape: qy97,u8 m4m5rd onbfl 1k4svfyqi7q r tube) and a block are placed at rest at the tom7v 4qn9f :uy7y sf id,l5qr8 kmbqo41p 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?