95.02: An object shown in the accompanying figure moves in uniform circulaiy cj).8j ls;,uoz p6fr motion. Which arrow best depicts the net force acting on the object at the i;c6j) uz,i ys.8opfjlnstant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockwf.8zu1 jrzx/e. :jhx rise at constant speed at a zjj1:/zxxhf r 8e..urn amusement park. At the location shown, which direction best represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular)m0v.j qm)r6 kvreu5x path at constant speed in a counter- clockwisexqer)0jmmk5).v 6ur v direction. Consider 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 moves in a circular path at constant speed in a-wgqa7 at5v, w 8grgl7 counter- clo-g87a a lgqr,vwg75t wckwise direction. Consider 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 clockwise with constant speed around thu;3x 5jw o)tebimyzn 31l1ojk4w v3/oe vertical circle shown. Which arrow best indicates the direction of the object’s instantaz yml3ko;xubt w w/j4e3 v3ijo1) 1n5oneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a string cou1y)tytf iv ry+9,pziq9wp.8 gnterclockwise in a horizontal circle above her head. The figure shows an outline of+yrypq1iwf tz, )99vty8ip. g 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 on the path should she let go of the string?

  15.23: A car moves with constant speed around a horseshoe-shaped path as sholc )0nju7p2uxg1qt4 twn with the arrows in the f) qup ttc70jun2glx14 igure. Which one of the following choices best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an experiment with a a7:bnng6l-grjq x : 2lsimple pendulum that is released from the horizontal position at rest. At the momenjx la7b g:g 2n-rqn:6lt 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) (kb.-ec h/o1 ecfv.j xpoint-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 kinetfv.ckx - (1jee/bh .ocic 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 object?

  07.19: What net forck q /4-qzosh h*g33(woodbz 0te is necessary to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frictionless surface with a speed of /3o4-qod(k hg0zz3htobq * ws 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) on r7ng)d1rbcz- the end of an 80-cm1gd r)rc7n -bz string rotating at a constant rate of 4 times a second?

  09.24: A point mass m r70tk :5qm-s6oe uecqoves along a horizontal circular path of radius 0.8m with a constant7:t 56msk0oqu-qeerc kinetic energy of 128J. What is the magnitude of the net force acting on the mass as it moves?

  96.24: A 2.0-kg ball is attached to a 0.80 m svnta9erb-hn*6 y q2*lqqh3 a*tring and whirled in a horizontal circle at a cbh a** thqq v63l2nq*a nre-y9onstant speed of 6.0 m/s. See figure to the right. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at the9;rb k-- .*zwlnyqmd l end of a rope, in a uniform circular motion. Which of thlm* rknylqz;.b-- w9 de following statements is NOT true?

  00.19: An astronaut in an orb b8.:m7r jniexuv )q;qiting space craft attaches a mass m to a 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 tensxriev qbnm.7q 8uj;):ion in the string is F. If 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 which it iqj0b8. p n5ck4p oub*ja+dx j9s attached makes a 90- degree angle with the vertical. The mass is released from rest and swingsbk 9a4bjoj+0d.j xqpu*c5pn 8 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 right.-.ng9lb)ekrg zi f15s Assume the car has speed v and the tops and bottoms of the hills have radius of curvature R. The driver of the car is most likely to fgs15lk-)i zb .erf9 ngeel weightless:

  17.10: A 2000 kg car moves over a hill at a constant speed of 12.0)l mlbtn/ tu:+ 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. Which one of the following choices best represents the magnitude of the upward)lb :tutm/ln+ force exerted by the road on the car?

  97.13: A small sphere is moving in a vertical circle at constaq639etd a5 hnznt speed. The magnitude95 qe dnz6t3ah of the net force on the sphere

  11.47: A simple pendulum of lengtpi*/fti d)l bu2 s0/wzq,+f )wrrdi* dh Lhasa point mass 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 on the mass by the earth, and F represent the magnitude of the net force acting on the mass. Which one ti/)uiqrr) wz/ps*20 dddb+f,li * w fof 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 pendu .hrqz,f.ad rpu- m47glum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices 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 .pfdrh-4z mugq., ra7 point?

  04.41: A centripetal force of 5.0 newtons is applied t0hr54y vaascu(x)ug . o a rubber stopper moving at a constant speed in a horizontal cirr04shu a 5 a.ycxg()uvcle. 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 fsu ) )2bz c15/fvb e(0felgukat rest on a frictionless surface, connected to an ideal horizontal spring that is upstretched. A person extends the spuf/ g0) 5bs2ev zkufe) flc(1bring 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 person to hold the mass stationary there?

  12.22: A girl swings a 4.0 kgak ec m8r)u,ze4 t0nt/m8z)b q mass with a constant speed of 3.24 m/s in a vertically-oriented circle of radius 0.75 m. What is the net force acting on the mass when it is at th8ean)zmkqu t8/t bc,ez4m )r0e lowest point of the circle?

  14.23:Two small identical coins (labeled X anzcv+qv-won+-a41o -g ou,oc v dY) are at reston a horizontal disk rotatinu1 q - oo o-,vgc4vz+ncawov-+g at a constant rate about an axis 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 of string and moves ax-uvrqs0 sl.c c/--li)*cjk jbout the string’s fixed end in a conical motion with a constacs) l* s rkjx-q --/cuijlv0.cnt speed of 4.0 m/s. The string has a length 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 motion as showp47l00zjc tq6d8/+ ceyigu fji:xwn.n in the figure. The string to which the maiqewpj0/uz +tc 0xf4nlc d7i:y.g68jss is attached has 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 11.0g is at -b( 9bl4w dk* 6qmfivwrest 30.0 cm from a horizontal disk’s center. The disk starts to rotdkf6 i 4mw9vblw(b- *qate from rest about its center with a constant angular acceleration of $4.50 rad/s^{2}$ . 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 massajd. ok(moa+ ) M = 2.0 kg is attached a distance R =1.75 m from the fixed centeraom +kdo)aj.( 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 speed9kr.e f0jfs/t 17.0 m/s. The object’s speej9 tk0rsf/e.fd increases uniformly until it has moved counterclockwise through an angle 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, starting at the top, with initi pxb0 i.a/2hb uzv;v0/-woiuz al speed 17.0 m/s. The object’s speed increases uniformiaz v0xb/2-iu zh.;/ 0opuwbvly until it has moved counterclockwise through an 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 b4y+p/ rvleqj gm+z xyec39t97ottom of a bucket. The bucket is spun in a vertical circle of radius L by a rope +gqj3re yt7p /c9x+zlmy4ve 9. When the bucket reaches the 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.