A cyclist travels at2g* x-7bghf3jqnh/v elof( w* 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 duyo4ml j*o5g7kkm ( pyc. xb2(nring the ten second interval.

  Rank the magnitudes of the maximum velocity achieved during the te3 vjoif2e6d( 3s g dur3wj::vin second intervajuv2:6d3s:3 j3if do irvwe (gl.

  Rank the magnitudes of the distance 4z9xxhl wf i/*4qfm2mtraveled during the ten second interval.

  A crude approximation is that the Earth travels infbegr 5qydi c*0/s9-z a circular orbit about the Sun at constanz5s9id-e0bgq/y rfc *t 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 cafx6u8q ra78nw(xv dn,39 ofrontrol 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 a;bxgbpy04 piac dz/ utc.i3g-70 w,awbout a vertical 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 wte4lkt4)vz 4-g z :cxic;h /ibith 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 2.0 meters and a spring consu32sudk gwr h .t2 /:ixct/7xbgfsc(:tant of 10 newtons/meter. Alice is pulling on one end of the spring with a force of 32u uwct xhgd:s2(tr :7xk/g / fbc3is..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 m le; nb8k3yta9g 6, 7/iwnzwwan increase in the period of a simple pendulum?b3e7k98;tawny w ilwmgz /6n,

  A large metal cylindrical cup floats in a rectangular tub half-fil.b t wufx*qh c6baka,2tay( y r0qs1.k4wb44aled with water.a.k4stabqt (wyb ,20 cwu.4qh b4 ryf6k a1a*x 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?

  You are given a large collection of identical heavy balls and lightwei(*f lup-( h9pgfvs4 2h0dvzt8 g;zg wught rods. When two balls are placed at the ends of onv2t gpz(hp0( l;9 8sg*-fduw ughv4zfe 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 solid - rwki9 rq3y ,9wcg9v)s .acybcylinder 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 t6..jr62:q v b:izbq hila0bcg ied at various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the wej h66qcr. :bgv0bilib.z q2:aights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator r3wpf3et 0h4: mzjoe5+2ddfg 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 Jmx, ioonj7n(m:c ts(1onathan need to exert on the physics book to keep the ts7o1j, :oxn( mmcn( irope from slipping?

  Jonathan applies a normal force that is just enough to keep the rope from6cg0k7va cp(ap8q: dz slipping. Becky makes a dgcvqp07(a :ka p8zc6 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? 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 the particle first return to nq x/ m(4+h9mtbe9 amothe origin?

  What is the maximum distance between the para k2:gig0n7 uxticle and the origin?

  An engineer is given a fixed volume z)4e sziat7+g3/q 4totavl1j $V_{m}$ 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 lvbon3)9:upffunction of rotation frequency. The enginb3:)onf luv 9pe is 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 suy e.1 e7jli0nas.2b oqrface 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 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 orbitbjeqiaes..n o07yl1 2
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 i-3j1j p sxbou9nner 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 toilet papelug.r*0/e o17simsci r tube) and a block are placed at rest at 1rc /sil7moi0 eus.g* the top of 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?