A cyclist travels at a constj 125abk2mq4fnh8+*hzp g s(u mqs9vlant 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 acceleratigo8sit3cyf s 8yph gx,j9urh47fa 1 y.g)uf69on during the ten second interval.

  Rank the magnitudes of the maximum vo1)qc2 p8nj py*6u9knuebsp(elocity achieved during the ten second interval.s1p b uuke6c9*pny(j28qp o n)

  Rank the magnitudes of the distance traveled during the ten second interval- 17 *syiwv( affz4 lre,rve0c.

  A crude approximation is that the Earth travels in a circular orbi7i* c(wf*o xprc9de(d- i2dtit about the Sun at constant speed, at a distanc*rtic(fi* ewcp-d i do7 (d9x2e 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 cona.el y,- .j+1l s0qxstmsbli1trol 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 vertict- 5i)67 3emkowc yhwj 7yx2sqal 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 we7kopxf,: to .light 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 me:-bv9j e qm*e.adh-mwters and a spring constant of 10 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 direction. What is the resulting length of the springb.mvdw *emh j9-- a:qe?

  Which of the following changes will result in an increase in *3qtdp-6 j lmzt xt4.w/ f9ysfthe period of a simple96md t wl t3xfy4fps /q.zj-*t pendulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with wawv 6 yzrldx4h v1p .sfw/)*rt6ter. The tap is placed over v6zvpx*tlywsrfw)d 6/ h.1 r4the 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 collection of identical heavy balls and lightweight rods. 2jv81peu f0)j6i2l6pkpxf l pm q 6ct d7qe-0fWhen two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the comprekc l - mei fxde ufqj 2p6qp2p)6fpj8v00t671lssive 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 thedqt 3ne o4ltvi/ w3l9h,9csbt7 *7 pbj diagram consists 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 7kg4e3 h.)o8k/1* yjp1 upzudqtfc wj) :s tmowith 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. Wo wypzfphsku1g7 :o/ .8 3jedm)t )kj4*cuqt1hich one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is displaced tzg q cq+k.9wbq)4i -eb b)q,z$2.0 \mathrm{~cm}$ 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 t2oj( g4 dmm- /zuw u48w 6of1ym7rcfi,jrbw+w o keep the rope from ,f o(jwij8d 7owczb4r-mmw gu2wm+yur6f /14slipping?

  Jonathan applies a normal force that is just enough to keep the rope from sl 8rnoode2.w5fa*d3 gjoai2 *j ipping. 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 fradif2jr25*e8wjgo* .d 3 nooaom 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 pv2k0h*cze9 / ejjh a)the particle first return to the origin?

  What is the maximum distance between -q0 z )y37eabvgcn hc;the particle and the origin?

  An engineer is given a fiae/s13(snag/e p2 ymom v0ma2xed 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 fub 5zm 0cek0ee8nction of rotation frequency. The engine is incapable of running outside0mb85kzec0 e e 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 sphericaq ;;r3shwttf:l 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 ;w sttr3:;qhf 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 supporte,l/c. lq m7ty 3ncztpl,w y0w2d 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 very thin wall (lz /u56d urxkp)ike a toilet paper tube) and a block are placed at rest at the top of a plau6 zu)r/d5xkp ne 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?