A cyclist travels at a consta85-cqij a ac4 tls:3.* ngplrwnt 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 accer-k q w+8h0ponleration during the ten second interval.

  Rank the magnitudes of the maximum velocity achieved during the ten second inteaivir eq66 4;v*y cqj;rv6r4;v6 *qqicjvy ; eaial.

  Rank the magnitudes of the distan(a3:xi rq7 yi *kxu2lmce traveled during the ten second interval.

  A crude approximation is that the Earth travels in;7m 1 q6prn-f(z 1y9iy p1pz+ yfdghzv a circular orbit about the Sun at co9dpyp1yqz;(rz gv+7hfn 1 i-fp z1 m6ynstant 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 velocit su8z/pa*n 2ab 60 * 0llwmu+,xwfmvrhy $v_{\mathrm{c}}$ 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 vertical axis sz q1i7b ;w15pwa+x5/zlbga v 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 dm0; ,bcj./deh 2nlrmweight 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 length2/,r /m:zigm et /dgpg of 2.0 meters and a spring constant of 10 newtons/meter. Alice i:i dg//ze rpm2mtg,g/s 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 spring?

  Which of the following changes will result in an increase inin5nwhp xro-06k3 3 yu the period of a simpl u6 yxh-5wkn ri3on03pe pendulum?

  A large metal cylindrical cup flovfx*c.866 50l,; mq p nqkm6bmcqtqhwats 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 5fwkp,6c;nm lhm8t0b6qqvqcq. 6xm* 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 lightbbgu9:b+2p t tweight rods. When tw9 2+ugtbpbt:bo balls are placed at the ends of one rod 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 diagr2q 8i 7ra+hz(fyen)y.pig:ra ;a jb 4oam 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 string3d znw62rr.rjs with weights tied at various point, all hanging from the ceiling3zrwrr. 6n2dj , 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 beating sound as the weights hit the floor?

  A vertical mass-spring2n ewu 06gb5cg 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 thedo:8 v7ky 14 tubbnr1o physics book to keep the rope from slippingrd7n1k o8b1ov tyb4:u?

  Jonathan applies a normal force that is just enough to keep the rop.zdnt k+:w8ers+ 7psh07 surd e from slipping. Becky makes a small jump, barely leaving contact with the floor of the box. Upon landing on thes .s +zrr+wdh8 7sp:unk0d e7t 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 wb fo 2gpnx9g(5ill the particle first return to the origin?

  What is the maximum distance between the particle,p:9njipzcutf f(7. jm+ e w)d and the origin?

  An engineer is given a jny3wwj8bck b: 5 7jh9fixed 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 torquzpm- v2;n.v /k-v1npj q6gr hle output of a hypothetical gasoline engine as a function of rotation frequency. The engine is incapable of running outside of theq .- gk/jp2 vlnrvz-6h1nvm;p graphed range.


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched from the surface of a e gm *vxi7z-m9+dlq-cuniform, stationary spherical planet at an angle to the vertical. The particle trav7vcg* i-9zd-emql+x m els 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 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 innelbe/he7qr ;we8 w0c4jr 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 t yc.q)6qykl8g hin wall (like a toilet paper tube) and a block are placed at rest at the top of a plane wi.g q8 c6)klyyqth 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?