A cyclist travels at a constant spet e7 ehc)olxi1 m-)+owed 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 o guw;-+ap by j7sh6a.yf the average acceleration during the ten second interval.

  Rank the magnitudes of the maximum velocity 4ng4nr ha 2;axq9ja/ xachieved during the ten second inter /ja4 rn4a;9a2gqx hxnval.

  Rank the magnitudes of the distance traveled during the 6ou1h3u.bpzo ,w2xoy.e ziw0 ten second interval.

  A crude approximation is that the Earth travelsxfy4j f1-g1t 0/k g1bb4th lrdpxx, 5s in a circular orbit about the Sun at constant speed, at a 1gs g p15fd,r j bx1xy/t0xbfk-44lhtdistance 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 controqptv31f(v zljyas9 54 l 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 vertical axis with an angular veloc;c/hnrxj*sc:of) to l(q5ux7xvr5 q1oi s6/sity $\omega_{0}$ 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 woodkt0:jat vj)yb*6 .tsn7 qd tn: with 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 2.08p ..- d2xcsgep/ouy7pn)u(+d ls b ls meters 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 re+ g /s7n82dly )epp-b..( uopxlcusd ssulting length of the spring?

  Which of the following changes will result in an in-y kjl,v37 97ise ifrmcrease in the period of a simple pendull9 ,rkj7i 3emyis-7fv um?

  A large metal cylindrical cup floats in a rey;po*dv 08p1 +rqes*mqqcw)xhd,j +dctangular 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 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? * w1+hm; cqev)+xpq,0 *dpsoy8rjqdd

  You are given a large collection of identical heavy balynynjyj .r 565ls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction yn5y y6nj j.5r(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 ser8x2 5e en2o 2wet tdbcmn33+4(svkmolid 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 at vario.*9derp+.)xgysw khp 8eib;hus point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights to fall. Whicxks.h;b yg*e)8.hdwp+p9r ieh one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-springoxt kv0s7pe/q 01tlq8m2g 9mi 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 the physics bo d+tr scmj).m5ok to keep the rope fromsd.c +)5trmj m slipping?

  Jonathan applies a normal force that is just enough to keeplsq5:ra7m9op qynaghg o- 7p*;9crt+ 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? Assumeao ;-tm9 +yqsc p795hl*oangq 7g prr: 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+1; dn wynkvm c8bj-7s the origin?

  What is the maximum distance between thz jno8 4pr0xe;xr4(eye particle and the origin?

  An engineer is given a fixed pzvmqgw6 - ;5zvolume $V_{m}$ 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 torqu(wj nxrkc+k -gz cv883e output of a hypothetical gasoline engine as a function of rotation frequency. The engine i-ncvj( cx8 krwzg3+k8s 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 surface f 7c,gx7hb0hf:eu e(d 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 onto0 (,fxh7 ugb:ee7hcdf 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 inner radias jeo)+2n olb*jj; ( /zgwlym tin+.7us $R$ 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,10r voirk4xkhin wall (like a toilet paper tube) and a block are placed at rest at the top of a plane wit4kx k ro,0i1vrh 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?