A cyclist travels at a constan9* jcjnyiw -,ev8y3z pt 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 seconfei9:or r31 r hd-iu4nd interval.

  Rank the magnitudes of the maximum velocity achieved during theuww0z4aq iq zo+8a 7 +h5*piec ten second inter5wi4chqo7q*ew+zp 0 a 8+aziu val.

  Rank the magnitudes g)emr7ar / q 7o jw(-hgylhon3nu,;:y of the distance traveled during the ten second interval.

  A crude approximation is that the Egub qx;,/e 85s;i hokbarth travels in a circular orbit about the Sun at coxqgu ;;hb /,i5k8ebso nstant 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 ou nel1t:w,gg( grjr/p-ed:+ o st 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 quo/l1h;at- (5z:ky:ttyw9 oqyx 0 ql 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 with a weighjr4w lr,s)pny8jlp-* t 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 constant of 31+dbp ixcbadq58s o30x7pxj10 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 3.0oppb3x8c js30+x1ba 7 dd5xi q newtons, in the opposite direction. What is the resulting length of the spring?

  Which of the following changes will result i7iq 9daw9/6 krnxu muo(g3lb0n an increase in the period of a simple pen99aq7 n6ld w0/m3 i(kxug broudulum?

  A large metal cylindricad(tm3i6lg nmg1i- 7 gkl cup floats 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. Which of the following five graphs could renm (igg6m3tdlgi 71k- present the water level in the sink as a function of time?

  You are given a largpls +1cenj 5 wy+;8vqle collection of identical heavy balls and lightweight rods. Ww+eq5sp1vj8; l c+nly hen two balls are placed at the ends of 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 consistsb(sv;s2i8m)ox5txh lh 0(zgg 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 strings with weights tied at va/v nu lit1;a9erious point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the wvutn9 ;ael/1 ieights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillh; /cgq4s. cvfhiz, y:qgq :9gbq.*+7 einiwiator 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 oums- 7 (6lbrs-p4 qr8zrl nol9n the physics book to keep thel67-sp4 ulmz 9nblqso-rr( 8r rope from slipping?

  Jonathan applies a normal9mgp6- s7/yfcv n by4o force that is just enough to keep 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 thgs v c 7o/fm-4y9by6pne 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 the orbhtj9zbzu 77f h3*vl6 igin?

  What is the maximum distance between the particle and they,-ix4g2*cwcgq oljw yv(( h4 origin?

  An engineer is given a f;8ti:bi7z0 qhzyvyc 5ixed 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 t :ewb2qxjg*;9f8jdya srg8 7o+1r lwnhe torque output of a hypothetical gasoline engine as a function of rotation frequency. The engine is incwqlbx*ar+9f2:e ynsj gorg1;8w7j d8apable 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 surf/do1i0hz4l9kqq or76sif ic9ace 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 bou4 i9/ 0 qco1hfo i6rq7d9siklznd 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 T2usnvhr - 4e0y wc vykk9(5u inrgb:;:eflon 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) bkzdsvyb)-rwf (+ /,pand a block are placed at rest adrfy bk)/(s p- ,bzwv+t 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?