A cyclist travels at9xa p3pxgwv hjk2* 4b3 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 accelerati3guh hl7q.pt5on during the ten second interval.

  Rank the magnitudes of tnn 384dhopoef uy)m +:he maximum velocity achieved during the ten second intervao+ufhempdn4y n :)3 8ol.

  Rank the magnitudes of the diste s: men;y 8t,+2yohrt0zan/ pvow1b :ance traveled during the ten second interval.

  A crude approximation is that the Earth travels in a czokh+ka:.tn : 17z sqxircular orbit about the Sun at consk:xshtzz1+.onk qa:7 tant 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 o.jtp3va)1dqroo-u.n ut of control 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 velocfj:ff50oz,kp ity $\omega_{0}$ 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 weight o)ww;bx6l07+nx b m hjyf $30 \mathrm{~N}$ 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 len60 h+ :6fvt1u te3fo5tcgxlgzb)lci 2gth of 2.0 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. zgb:h 5f160l)3xfcvtu+ctig l ote62 What is the resulting length of the spring?

  Which of the following changes will result in an increase in thekde4 p.x4z-yb period of a simplezdp.4 xb-e4y k pendulum?

  A large metal cylindrical cup floatnvj z6 c**ks*rhnp((ns 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 to the bottom and is completely submerged. *n vc (kpn*j* rz6(nhsWhich 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 ioo3g dmdd3( frx((wo* v1:syhdentical heavy balls and lightweight rods. When two balls are placed at the ends of :( (oowxddr3 3dyf1 (vsom*ghone 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 consis3n8l7so ro.zate* 1axts 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 strinn xf kd*j7t;6hd;b*hd gs with weights tied at various point, all hanging from the ceiling, and reaching down to the floor. *t6j;hxd*hb dfkn 7;dThe 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 iv(w -j7tcyez7o 9dkz-s 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 nee95 +mlfj; gq4n iwv(bud to exert on the physics book to keep the rope v j ;umf(glqib594+wnfrom slipping?

  Jonathan applies a normal force that is just enough to k-3e l1uyf3ug s.0acyn 3-az.e-glifc eep 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 smasge3.-uu-c-3ac 1yflis3f z0eyng .a lh 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 retudo2gn+2r1 pez,v8ku grn to the origin?

  What is the maximum distance between the particle and the origifrz7b6uw) fr7nxz.1a tf .c-s n?

  An engineer is given a f eef3q*9e)n piixed 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 torque output of a hypothetical gasoline engine as a zm9 eq/km4l1 t+lo q8iux0lg8 )zo3ivfunction of rotation frequency. The engine is incapable9qlzmzl1v keiu m8/gq38x0 4o)o+itl 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 a uniform, statiy2yo5sz nm +g5onary 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 th smno+g 52zyy5e 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 Teflkz4xs5 xkpf 9l7bx6/w on ring of inner 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 paper tube) and a blockr0uj3awg2f( +oscb8x s6 wy2y are placed at rest at the top of a plane wi 3(bywfac0j6su gyw2 ox sr8+2th 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?