95.02: An object shown in the accompanying figure moves:9z 4svzul qc; in uniform circular motion. Which arrow best depicts the net force acting on the object at c4 zs;l vqu:9zthe instant shown?

  05.31: A child is belted into a Ferris Wheel seat tkj o voyc/w/p8trh +9+hat rotates counterclockwise at constant speed at y9ho/r /w8 t+vcokpj +an 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 mod. 27wbyne3d f s1q*ckves in a circular path at constant speed in a counter- clockwise 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 d1c27qn* db3we yks. fPoint P.
What is the direction of the average velocity during this time interval?

  08.15: A particle continuously move; :e84z4;loc sczkpx os in a circular path at constant speed in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular pate:sczz cl4;x k4;po8o h 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 the vwnau*:wbxmbq u 1g9*)ertical circle shown. Which arrow best indicates the direction of the object’s insnam9 ) :g1 xw*ubbq*uwtantaneous
acceleration at the point labeled X?

  12.11: A girl twirls ;iski+df+r4 gt* 5b7 owbx5d da small mass connected 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 girlr w 4d++5btdd5i;bko7gsxif* 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-shx2 p1ur1 u(pciaped path as shown with the arrows in the figure. Which one of the following choices best describes the direction of the average acceleration ofr( 1 puuicx2p1 the car in traveling from Wto X?

  08.35: Astronauts on the Mmmx yf3t 3)kh;tr+ ) 7ulxg)pmoon perform an experiment with a simple pendulum that is released from the horizontal position at rest. At the moment shown in the diagram )33xrmlt xg)k; p7yum+ ft mh)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) point- f mx ydc9vs3e/6b6g3zlike 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/zc9dvfe 6 yx3s 63gmb of the force of friction acting on the object?

  07.19: What net force is necessary to keep a 1. 0 kg puck m6ji,r z)obewm6m9lc ::y7ba uoving in a circle of radius 0.5 m on a horizontal frictionless surface woirl:b6au:6 we9m, )b7jzy cm ith a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 5 u /7s1wwlquhh71x p3g0 g) on the end of an 80-cm string rotatin1swg1 7uhuq7 l3hwx p/g at a constant rate of 4 times a second?

  09.24: A point mass moves along vmmhbbwag*ya,9o)*y 15 2k;r u0uwnk a horizontal circular path of radius 0.8m with a constant kinetic energy of 128J. What is the magnitude of the net force acting on thn 1u0*ym52y)g kbvm* koaw,hw;a9urbe mass as it moves?

  96.24: A 2.0-kg ball is attached h3vs i6xe lb9t-:bx/nto a 0.80 m string and whirled in a horizontal circle at a constant speed of 6.0 m/s. See ntlv:b-x /s3 xh9ebi6 figure to the right. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at the envxphabq fg5f s7)b3 ul05ynh.s-s / nskm18x3 d of a rope, in a uniform circular motion. Which of the following statements is NOT n n1)0vsusy7 .khspq-5l3b bx ahgf m/5f8s 3xtrue?

  00.19: An astronaut in an orbiting space craftv7f xx. fcx96/ht ze)a 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 tension in the string is F. If thehf. tv/6 zexa xf7)cx9 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 stbj09nofbmms9*1 xhb +ring of length L to which it is attached makes a 90- degree angle with the vertical. The mass ifh01b99n mmsjbxbo* +s 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 itv :fz28kx( 9(qde. olh(twy xbv2,tright. Assume the car has speed v and the zb(koy 9 h8eft(ilvw xxtd .q:t2v(,2tops 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 hillg qkdwpf0)yv(0.pj)hbo p5 57phk y 7t at a constant 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 gbq7 dhoj tvypp kw0yp 5k f0p7.5)()hradius 25 m, as indicated in the figure. Which 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 circucwk-:ng 0z7 mle at constant speed. The magnitude ofw7znk m:c0-g u the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mass M released hkyfu::j+ o;jcvx* -2des 4l (/w hiom-sfk 5ufrom rest from the horizontal position shown. In the absence of air resistance and friction, th-: /ykmej ;24uosfu ijv5 (: lfhwxks-+ch*ode 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 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 for4dnv l7yjq5dwe9,p i:)xft8 mwd h*hz89xrq)ms a simple pendulum. 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 txe,r7 f9w hq 4vl9z)mi:wyt8 8 5dxqhd*p)jndhe 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 rubber stowxzg;8r.ekd.hyh19j9dc 5;lriw 4c vpper moving at a constant 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 freqdhr4;9r.jewy z5 19 .8kcigcw ;dhlxv uency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connectedn qp:g6u pci x2kn/54r to an ideal horizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and holds it at this 6kn uxp2:npc/g5ri q4 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 kg mass with a constant speed of 3.24 m/s in a vertyn3awq6t*gae s7wl(5 -tn z +aically-oriented circle of radius 0.75 m. What is the net force acting wg t73z+a qly -*aas5ten6w n(on the mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) are n,. .zfhh0nnk at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of t.fnzh , hn0.knhe 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 abouu .udxw( -ys 6qgz+wpx+h-tw1t the string’s fixed end in a conical motion with a constant speed of 4.0.d1wqg +u6 wxhutyp-- sz(xw+ 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 shown in the ficpa:o,7-bew 4n0fegb9x*h awgure. The string to which the mass is attached has a length of L = 3.00 m and formso hgb90e,:wapb fwae* c47 -nx 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 rest 30.0 cm from a horizontal du.n5q , e p6/kcfmc3adisk’s center. The disk starts to rotate from rest abke 6u c5pd/,.naf3qmc out 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 mass M = 2.0 kg is attached7xt cg48hu nedbt 82c-ew;fhyx2m:: p a distance R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating from rest with con:etxcg: 78 dyxmbhcuw4 -2fep nth2; 8stant 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 ci .re8ji9mhu m+ou(o)dyt+m66m :bilhrcle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an angle +i :r ml6 heh9tj)6dyi+.8ubom(moumof$55^{\circ}$. 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,x+x-1e iu; ;n6 .fzp7isvz cyj with initial speed 17.0 m/s. The object’s speed increases ipvsi.z 6x;-e1x zyjnu+cf7; 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 time for this motion?

  17.38: A small 2.0 kg block rests at the bottom of l6 *yctj5d e,ph jzi3.b 9(qi jey,.aaa bucket. The bucket is spun in a vertical circle of radius L by a rope. When the bucket,chdp6e yqa3jilzj j9 btia.*y 5(,e . 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.