A cyclist travels atqmipd-y5rl *9fnx-4 e a 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 acceleration during the ten secon.8uj / e+5piirhotzj c4/35a /iib yvnd interval.

  Rank the magnitudes of the maximum velocity achievmv*yq(k :pri:vmx:i *5w0kk h ed during the ten second interval:* ikvm:r h *wm yx(ivqpk0k5:.

  Rank the magnitudes of the diydj6w t/22ymt w+s a.zstance traveled during the ten second interval.

  A crude approximation is ths0*/vxs: f)8bzpq(bsw f6qx(e oar;x at the Earth travels in a circular orbit about the Sun at const;sb)e*xpxw:voaszf(( / 60xr8q bfs qant 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 6cv im7y .4hgpcontrol 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 v.lkq1q2 2jbbey5l )1mczun+wertical 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 w;yxhyf(li)8elw x - t7eight 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 wc ezn9eqs;40r 22 vdmxtx1x+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. What9sx22 vdx cn t1e4+0x qr;wemz is the resulting length of the spring?

  Which of the following changes will result in an increase in the periodx6+(cxsow 7kf of a simple pendulum?wos6c k7xx+ (f

  A large metal cylindrical cup floats in wjw8y8 4htsd(, 3xrz;mv(4v pqj bu-xa 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 sw; j,(jus hp8xrq-y83x4 vbztmw(v d4inks 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. p5 7deqio;.fi9 lsd a:When two balls are placed at the ends 9.aofdpieqi 5l ;s 7:dof 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 diagram consists of a s0sb m5z 2nctc3olid 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 various point, all hanging qo mrz;u0;h2 fd,q-+d5 mpn.va2dm h jfrom the ceiling, and reaching down to the floor. The strinm d2n q -a.zu0oqv5j;m+ h2d;p,mrh fdg 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 imch m:i0:.fj ls 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 tunb 6y+kp-g c-o exert on the physics book to keep the ro gk6-p+ynb cu-pe from slipping?

  Jonathan applies a normal force that is just enough /umm:p8mt zp2to keep the rope from slipping. Becky makes a small jump, pt mpz/8mm:2u 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 wixf5) ot*m)5om /u2aqosq v8anll the particle first return to the origin?

  What is the maximum distance between the particle and tood y6v -fy s9r;sv,c6he origin?

  An engineer is given a fixed volum*vf5eno p5c (y9hs c2re $V_{m}$ 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 tcoq(wz8yb fa h g q:q (725b-xdo7m(*6qkanltorque output of a hypothetical gasoline engine as a function of rotation frequency. The engine is in: w6g(k(5q*dqmqn8-b(tlyaoqhz2xa fco 77b capable 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 of /9 6g7rvra9rhci m9pca uniform, stationary spherical planet at an angle to the vertical. The particle travels in the absence of air resistance and eventually falls back9p c9 9mrargrcv67/ih 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 inner r,ei2no +r )x jr:np e62jc0xutadius $R$ 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 toilet pafw;q23yln-y n2 i7thu1ka )j bper tube) and a block are placed at rest at the top of bw2) juhyn-kli2 n3fyt1;q 7a a plane 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?