A cyclist travels at a constant pnk 7(c7 kh, -fo1gbozgv5gf(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 ahs81i9uu q6 jjhoa c5ssxc542verage acceleration during the ten second interval.

  Rank the magnitudes of the maximum8tq0 5d y+tfdw velocity achieved during the ten second intervaq5y0 +f dw8dttl.

  Rank the magnitudes of the distance travelhnl4 /ufw 6lhxym0b1ame/pe u 9:9vr7ed during the ten second interval.

  A crude approximation is that the Earth; ej 3:iqqd+pgz0oz8k f7)exg travels in a circular orbit about the Sun at constant speed, at a diz qx ;:p7gdi g80)k+ eozfjeq3stance 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 contro.b0.r/odj m eil 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 abufmsk p6-)f8 yout 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 wit1td-wcg +/ lt* -b4taey(f5wm usq z/th 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 meters and a spring d z;(+ es8exzeconstant of 10 newtons/meter. Alice is pulling on one end of the spring with a force of 3.0 newtons. Bob is pulling on xe8d+z e;es(zthe 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 pj5i0hy ;/; dxgd9 eoxweriod of a simpledg/ ox0;w ;hy eij95dx pendulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with wateralym; levos:;n 4v7tl cv2 *1d0lcu0v. 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 s7lt vve cnyd;v2a4*sm00u ol;v1cll :ubmerged. 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 lighxe9r y8)yoy sl0k;1xcv y-98 gijgj*htweight 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 compressjl 8c8vsro)h e-y;9yg1 gyyx*k0ji x9ive 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 ceq 9 8m.eqwky1ylinder 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 hjwzpq 37g+5//(e giikd-fl+k zdn *owith weights tied at various point, all hanging from the ceiling, and reaching down to tjpfkgoh5 g-3/e+k z7l(qizinw/*d+d he 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 disp zz ibn.kxo*ov50 f 28iey/1gllaced $2.0 \mathrm{~cm}$ 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 do-ir * hb4 .(afdxz k+xtfu0vu3;kr uu/es Jonathan need to exert on the physics book to keep the rope;3kbr/uv xf4+zu0udf*r ki- xu ath(. from slipping?

  Jonathan applies a normal force . nf*b b8zx*+1sykko qthat is just enough to keep the rope from slipping. Becky makes a small j1fnokbqy**s z x. bk+8ump, 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 fo)ck5zisj d2 -irst return to the origin?

  What is the maximum . )nhau(tb9s ftl5 0ludistance between the particle and the origin?

  An engineer is given a fixed volu73 ,d1qyu5hrs b1t(*q zsbclb me $V_{m}$ 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 o z v h:apv(tj1r(t1jc f686eehf a hypothetical gasoline engine as a function of rotation fr(ttfr66h:jvc1 jazp(8 1e hveequency. The 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 7kgntsj -cqabses;nk/ejpq +3:+ 7(zfrom 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 Fredp3k ;sbeq 7(-/ ca+ +ksegqt:7sjnn zj 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 aq( tz oq)d(hl/ 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 b74lkqo ) ao8tsbyf3p0,ir9q a very thin wall (like a toilet paper tube) and a block are placed at rest at the top of a plane with inclin 3ooyirt qp8sabq97, 0) bflk4ation $\theta$ 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?