95.02: An object shown in the accompanyinmlkdh*tb 4l5 r 1ozc,9g figure moves in uniform circular motion. Which arrow best depicts the net force acting on the object at the instant sholrzk d 51,obtch* 4l9mwn?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockws87cx6p 1aeg udyqx/ 5x 6pmv g7q5om1ise at constant speed at an amusement park. At the location shown, which direction best represents x75 xcm1mep6q 5gdq18ay76suv/ pxgo the total force exerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular path at con 1/5oz.j uqa3ikibv4nrre e 9m8*; vzgpqx:4ostant speed in a counter- clockwise direction. Consideraexojzr1*.4i vi3unzr8:ob/5k e p4 qmv9 g q; a time interval during which the particle moves along this circular path from point P to point Q. Point Q is exactly half-way around the circle from Point P.
What is the direction of the average velocity during this time interval?

  08.15: A particle continuously mowwcuips em:q +lx;tb q3lpnl:7 5 /6qcuf)6w4ves in a circular path at constant speed in a counter- clockwise direction. Consteu/ )qmnp6 cs74q36ucpb l5il x wwwl:qf+:;ider a time interval during which the particle moves along this circular path from point P to point Q. Point Q is exactly half-way around the circle from Point P.
What is the direction of the average acceleration during this time interval?

  15.07: An object moves clockwiseod6g,r0va sj 6(5hy be with constant speed around the vertical circle shown. Which arrow best indicates the direction of the object’s instantaneo beyjo6av(h6r,d05 sg us
acceleration at the point labeled X?

  12.11: A girl twirls a small mass 3k)6xk lrhr:,ej(q geconnected to the end of a string counterclockwise in a horizontal circle above her head. The figure shows an outline of the mass’s path viewed from above the twirling mass. If the girl needs the mass to pass through the point labeled P in the figure, at which lettered point o xrj)re:,3( e6k hlqkgn the path should she let go of the string?

  15.23: A car moves with constant speed x9s3ykl( yo .hqamj-+around a horseshoe-shaped path as shown with the arrows in the figure. Which one of the following choices best describes the direction of the average accelerationkqy+3.(smj -a9 xhl yo of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an experiment with a simple pendbts9 51ngcn o-ulum that is released from the horizontal position at rest. At the 9 cntn-s51obgmoment shown in the diagram with $0^{\circ} < \theta < 90^{\circ}$ , the total acceleration of the mass may be directed in which of the following ways?

  03.19: A heavy (2.0 kg) pyp 3wx 3;xfaeuo,3yw (6r ep8qoint-like object rests 2.0m from the center of a rough turntable as the turntable rotates. The period of the turntable's rotation is 5.0 seconds. The coefficient of kinetic friction between the object and turntable is 0.50, while the coefficient of static friction is 0.80. What is the magnitude of the force of friction acting on the 3o8pwxu q6efp;33y e,ryaxw(object?

  07.19: What net force is nemb)uk,(i f7lnp h:,f ln pwj89cessary to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frictionless surface with a speed p)nh9 f7b nlpfl8wj(i uk:,,mof 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) on t f +j6k5 ur22iq:nygwphe end of an 80-cm string rotating at a constant rate of 4 times a s2 u5wpkgn:ryj2q i+f6 econd?

  09.24: A point mass moves along a horizontm sr,)7y /tpnkal circular path of radius 0.8m with a constant kinetic energy of 128J.ysk /pn7mr, t) What is the magnitude of the net force acting on the mass as it moves?

  96.24: A 2.0-kg ball is attabo*7xd*pmwuzb2:: t pched to a 0.80 m string and whirled in a horizontal circle at a constant speed of 6.0 m/s. See figure to thexwzpbpm*tb* 2u 7:o :d right. The work done on the ball during each revolution is:

  99.22: A child whirls vjw9wolz ,x6ftr,;- lzk khc0-v 2,z(fgne* wa ball at the end of a rope, in a uniform circular motion. Which of the follow ,vkr;ftgf9ze- c2(hv*x w -llzzwn6k o0,j,wing statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to aa5 ms:rdhj3 5o string and whirls it around in uniform circular motion. The radius of the circle is r, the speed of the mass is v, and the tension in the string is F. I3r shm oaj55:df the mass, radius, and speed were all to double the tension required to maintain uniform circular motion would be

  07.22: A mass m is pulled outward until the string of length L to whic6g 46ogeo xemx+d ,aipo1fy)q4d,ub /h it is attachedageou66 g,bi+ om xd1,4 4)/def oqyxp makes a 90- degree angle with the vertical. The mass is released from rest and swings through a circular arc. What is the tension in the string when the mass swings through the bottom ofthe arc?

  94.15: A car is traveling on a road in hilly terrain, see figure to the righq8 y(t(q vy8)pmlehg,t. Assume the car hayp8q(vy ,gqeh8(tml )s speed v and the tops and bottoms of the hills have radius of curvature R. The driver of the car is most likely to feel weightless:

  17.10: A 2000 kg car moves over a hill at a constan59 dec*p)zywr ve7 r:gt speed of 12.0 m/s. At the very top of the hill, the shape of the road can be approximated as a circle with radius 25 m, as indicated in the figure. Whiche5zc9: rrv* e7ypg wd) one of the following choices best represents the magnitude of the upward force exerted by the road on the car?

  97.13: A small sphere is moving in a vertical circle at cvz 9qiqxe)7 jlt opfyr1 10:r.onstant speed. The magnitude of the net force on the sot9:qj fr7yvqlx 1) .01zriepphere

  11.47: A simple pendulum of length Lhasa point masr0ys6o ys,p y j udz39z*9q:uss M released from rest from the horizontal position shown. In the absence of air resistance and friction, the mass swings through the arc of a circle. Let T represent the magnitude of the force from the string on the mass (tension), G represent the magnitude of the gravitational force acting ozz6:y3puj0yysro99 u,* s qsdn the mass by the earth, and F represent the magnitude of the net force acting on the mass. Which one of the following choices describes the relationship among these forces when the mass swings at the bottom of the arc (point P)?

  16.32: A mass connected to a string forms a simple pendulum. The ykia)1 t7dpjqiq*c5 c81f7g)b5 fvevmass is released from rest and undergoes simple harmonic motion. Which one of the following b id8fc) qk1yjg )75cv 1vaq5peft i*7choices correctly ranks the magnitude of the tension in the string (T), the gravitational force on the mass (W), and the net force acting on the mass (F) when the mass swings through its lowest point?

  04.41: A centripetal force of 5.0 newtons is applied to a rubb x i u17(nx(lft9os kx6o:;obrer stopper moving at a clbo( ixx1:f; x9( 6nsk7rootuonstant speed in a horizontal circle. If the same force is applied, but the radius is made smaller, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, (skh( o)h+ivuconnected to an ideal horizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and holds it at this location by applying a 10 N force. The spring is brought back to equilibrium and the mass connected to it is now doubled to 2M. If the spring is extended back 30 cm from equilibrium, what is the necessary force applied by the( h+)uoivksh( person to hold the mass stationary there?

  12.22: A girl swings a 4.0 kg mass wit yo, x *o6wwl 3gr:xk;z7).pju /wxderh a constant speed of 3.24 m/s in a vertically-oriented circle of r/ gzw7 6y3 :okoprl)*x.xr x,;euwdwjadius 0.75 m. What is the net force acting on the mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) b+nsp* .8 t64e ,pd8haxeaniku9 8lrp are at reston a horizontal disk rotating at a constant rate about an ax4pnlnh* 6rp a8keu.tdpas9e,x 8+bi 8 is perpendicular to the plane of the disk and through its center. The distance of the coins from the center of disk is related by $d_x=\frac{1}{2}d_x$. Which one of the following choices correctly identifies the relationship between $f_x$and $f_y$ , the frictional force on coin X and on coin Y, respectively?

  15.40: A 2.0 kg mass is connected to the end wnu e1ko/wd j8 .dp).zof string and moves about the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. The string has a lengtkupdozndw)e.j/18 w .h of 2.50 m and forms an angle of $θ$ with the vertical. What is the tension in the string?

  17.26: A 4.00 kg mass is in uniform circular motioz45 ,if 5,hg vepw)yvzn as shown in the figure. The string to which the mass is attached has zivgz) 5,f5 eypv4w h,a length of L = 3.00 m and forms an angle of $θ=50^{\circ}$with the vertical. What is the speed of the mass?

  13.23: A small object of mass 11.0* tqdy3n*mcx: g is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant angular acceleration ofn t xyq:3**cdm $4.50 rad/s^{2}$ . What is the magnitude of the net force acting on the object after a time of t=1/3 s if the object remains at rest with respect to the disk?

  10.35 A point object with)prrgz6pbx* ::n (nsy7vwtk0 mass M = 2.0 kg is attached a distance R =1.75 m from theg(tr np6znr*:y7s x0:wp)vbk fixed center of a disk as shown in the figure. The disk starts rotating from rest with constant angular acceleration $α =5.00 rad/s^{2}$ about an axis perpendicular to the plane of the page through the disk’s center. After how much time (in seconds) is the tangential component of the point object’s acceleration equal in magnitude to the centripetal component of the point object’s acceleration?

  16.39: An object moves in a circle, starting at the top, with initial speed 17.on0 li rpev:ih vhs a;1sq)c wz)66bx:b-f4q20 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an al2z6;haih) 4vsp0o:q)1w bnqvb -se rx 6f i:cngle of$55^{\circ}$. The average acceleration for this motion is $9.8 m/s^{2}$directed straight downward.
What is the final speed of the object?

  16.40: An object moves in a circle, starz+ecnon:f.r5( o cfn 7ting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through ano.+n 5nfz (:rnc7coe f angle of$55^{\circ}$. The average acceleration for this motion is $9.8 m/s^{2}$directed straight downward.
What is the time for this motion?

  17.38: A small 2.0 kg block rests at the bottom of a bucy k1 k/swpad0wxe.n )-ket. The bucket is spun in a vertical circle of radius L by a rope. When the bucket reaches thwyk -n./e) kap1x0dsw e highest point in its motion, it moves just fast enough for the block to remain in place in the bucket. When the bucket is at an angle $θ=30^{\circ}$from the vertical, as seen in the figure, what is the magnitude of the normal force (perpendicular to the surface) provided by the bucket onto the block? Note that the direction of the gravitational field is indicated in the diagram byand that the block does not touch any sides of the bucket aside from the bottom of it.