A cyclist travels at a constant speed of ud6;mc7w v9..4v 0piii6 kj7fb k lipa$22.0 \mathrm{~km} / \mathrm{hr}$ 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 accelernqw ecce /579g1x4flzation during the ten second interval.

  Rank the magnitudes of the uz. .ewh*b.k u57w;hgq flb5mmaximum velocity achieved during the ten second intervbmz5h 7 5b e.w *lqkfg;huw.u.al.

  Rank the magnitudes of the distance traveled during the ten second intervo9jw/1x ba * v ,r:6 vuflyxb3w(;vpqeal.

  A crude approximation is that the Earth travels iqs) (ox xk fzwqg)h bi:;if-l0fw/u47n a circular orbit about the Sus khlf0igbfq(: - 4)oix7u/qww; z)fxn 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 cont83y5x0sn r jdrr aua1*rol 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 ugpfy u8 yu1+x l*4f;b(nxe1d 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 wei;a0 5jwe 6wte,fv-u nxght 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 of 102z j *d6erfhi 19onw4a 8c1ifi 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 spring with a force of 3.0 newtons, in the opposite dired2fh*w c n4a1rifo68zjeii19 ction. What is the resulting length of the spring?

  Which of the followin iki i c6)65wegu78o6f rdvo)ng changes will result in an increase in the period of a simple penduluurfinkcod) i76 6 )og58wiv e6m?

  A large metal cylindrical cup floats in a rectangular tub half-filled with watiqicq+t(t:1 i ccv(kc20 hpx0 er. The tap is placed over the cup and turned on, releasinpc0x1qh ctvi0kq ( + (iticc:2g 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 collection of identical heavy balls and lightweighv l c-8c37v0 nauqy9cw7v/wib t rods. When two balls are placed at the ends of one c wu9bi/clc 7a0 3n8wvvy7-vqrod 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 diagram con)0d+a/ l ka)oz,vcyfisists 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 bej a4f64ua7udw-,gojhzj 7 6at various point, all hanging from the ceiling, and reaching down to the floor. The strb7d-j7g ef,6u4 jw4 uaz6ho ajing 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 .bwp +iu:sm:-z dp7zg$2.0 \mathrm{~cm}$ 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 6p nt r2,/zulwxoe8v-the physics book to keep the rope from sllu -/xv zw28,6r tenopipping?

  Jonathan applies a normalfnj +l wjax*uu,9ej85u xau6s d1b 4k/ force that is just enough to keep the rope from slipping. Becky makes a small jump, barely leaving contact with the floor of the jj1eku5s,n*6jw xx+ud laa 8 u49f/ubbox. 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 thevjbi5ml-/9 vt*9fezi origin?

  What is the maximum distance+efz5qgc:- k ; j.pl fsmxy0,g+ e,zma between the particle and the origin?

  An engineer is given s96c(sa7 qx uia 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 fuwjckl9aw n/+m/ riu j. bjd,-+nction of rotation frequency. The cjwk+dj/iwn ,/9 ljam -u br+.engine 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 surf90) ws m6hbmr*m (fzjface of a uniform, stationary spherical planet at an angle to the vertical. The particle travels in the absence of air resistance and eventually falls h9mfms* f(m6wz)0 rjb 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 Teflon ring of innei*4/kud*x8u xva;v dir7 4mat r 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 with4d41 f.wd,yk )ujm tspi,r x(o a very thin wall (like a toilet paper tube) and a block are placed at rest at the top of a plane with incowj .x )df,4p riusm4td, y(k1lination $\theta$ 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?