A cyclist travels at vpc 7q:ndrh7b0q.i*ca 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 pdd)kpn:ay9i*l 0sg x.6rg t8acceleration during the ten second interval.

  Rank the magnitudes of the maximum velocity achievemt0kbcewnm x2 yj+. /1 rm(gy-d during the ten second intervyxg1(ck/ -ny0remmj2t .w m+ bal.

  Rank the magnitudes of the distan)mp n 29 u3sb+;vratxtce traveled during the ten second interval.

  A crude approximation is that the Earth noq)r 3,0jh4 i,b9gnchf i*yltravels in a circular orbit about the Sun at constant speed, at a dist*hn)4, ljhq igr cfb0yi9 3o,nance 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 vri /f3 scf4.lselocity $v_{\mathrm{c}}$ 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 vertica cjgi p/n ta2t6yf,.zx24fa,b l 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 (o -lp .pi4xv:u isymy8ld :p- b-4tvbweight 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 lengt1 zt8a ydm/.uph of 2.0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of thaudm zt/yp1. 8e 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 si .6fqg e(k gvprniqwq4y-x+);mplei ew +qgk(r.)vnxq46 ;-fypqg pendulum?

  A large metal cylindrical cup floats in a rectangular tub half-filled with waterm-3 crawpv 29l zd.t5c. The tap is placed over the cup and turned on, releasing water at a constant rate. Eventually the cup sinks to the bottom tm2d. l-9c w5zvapr3c 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 idas74t0k (wefdh 1 ;lcyentical heavy balls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational atth fysce(a1 7;w dtl4k0raction (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 cylindks: 7w1 hv ;6 xi5cedprx9,yjcer 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 at variokofy +s509mdco(dr vpr5l7 ,thu0 ex*us point, all hanging from the ce* dlo5k9ce r,y +prfu( 0h50mstx7dvoiling, 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-spring oscillator is displao5olox,yq sogpvm)m:0 as+/ 6n crf2 or dn+2,ced $2.0 \mathrm{~cm}$ 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 bklj-xc s+8 cy(ook to keep the rope from xjlc+(sck- y8 slipping?

  Jonathan applies a normal force that is just enough to 86c)nf0i 1uef 9dsy8b 5 q6hpktinu d0keep the 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 start slipping from Jonathans hand. At what speed does the box smash into the ground? A 861n0 yfpdt 5u8iid6sbnuf0)q e9khc ssume 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 origin?k hu2 z/ y:1ddre6-tlt

  What is the maximum dqxx+ad*:a ;l )1q hkqmistance between the particle and the origin?

  An engineer is given a fixed v0 eqwmv )5, fi):qpnfuolume $V_{m}$ 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 thep b 3vx5rs,8fx torque output of a hypothetical gasoline engine as a function of rotation frequency. The engine is incapable of runnibx58r3svxp , fng 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, st 16s gx7sp xzm7h8dtt0ationary 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 Fred describes the path of the particle as a parabola using the laws of projectile motion. Spacewoman Kat8 dt thx16s07s pgz7xme 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 inner3oqsem0pzrg 5+ 0pvw7 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+8nz4bzf80w cme j1so toilet paper tube) and a block are placed at rest at the top of a plane with inclinajo4 e+8bn80 cwf m1zsztion $\theta$ 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?