95.02: An object shown in the accompanying wgyzd;o3 h-t ,figure moves in uniform circular motion. Which arrow best depicts th-3owhg d,zy;t e net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotate6u. isrx/f.0owefr(w s counterclockwise at constant speed at an amusement park. At the location shown, whic/frur w oxf.es06iw(.h direction best represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuously movesoezsr ddt /ra,q9g:( 4+zjo+e zs,;bf in a circular path at constant speed in a counter- clockwise direction. Corz t;o+ d+se:rze bf,, jdazq/s9(4gonsider 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 zocua/et1swl 0nh 4)sa-j70qt3cgl2circular path at constant speed in a counter- clockwise direction. Con lga )/oeq1jcush0 n 02 74tcas3-wzltsider 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 movei+k/m: mgu j7ws clockwise with constant speed around the vertical circle shown. Which arrow best indicates the directio j/:7+wiu gmmkn of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a string odct2gd 3ae;e,/64il4 dv2zq+ yt 5dn dor2b mcounterclockwise 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 on the path should s/d262dg4;yled eq3,v2co4+z tr5ntmo d ib adhe let go of the string?

  15.23: A car moves with const )nna:j2ka wb6agk9c9ant speed around a horseshoe-shaped path as shown with the arrows in the figure. Which one of the following choinbc a9j9n6g)k2 a awk:ces best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on t5x z4*9bl o6gvoa:dablnf(a 5he Moon perform an experiment with a simple pendulum that is released from the horizontal position at rest. At the mozb:l bf van a45gld ax69(oo*5ment 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) point-like object rests 2.0m from the center of a roug7kzzvkrmf* 3p .1f1),cg*xuz co/etkh turntable as the turntable rotaozzk 1tc)7m rgk pfuc*kz, *3xv .f/e1tes. 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 object?

  07.19: What net force is necessary to 9c3 g1w j/er wq(9f7nnaod+vgkeep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontav j e(3onfn1adw qgr7g9w+ /c9l frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripe .wbss 7l5ft a7+/vnqital acceleration of an object (mass = 50 g) on the end of an 80-cm string rotating at a constant rate of 4 tib77w5stqls.i vf+ na /mes a second?

  09.24: A point mass moves alon)i mcelm;ki(da1; 1vfg a horizontal circular path of radius 0.8m with a constant kinetic energy ova;e 1m dci1)( fmkl;if 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 string and whirled in a horizontal 5c +rk:q;r tzzyljv+u44 wf/ 8yu5 clccircle at a constant speed of 6.0 m/s. See figure to the right. The work done on the ball during each revolution ic ;yr5q4 lvu+ uy/cc45kl:r8 jztz+wfs:

  99.22: A child whirls a ball at the end of a rope, in a unifor,dn y oe)7krmag-fos6u8;5u ym circular motion. Which of the following ya)go rks87ue5u;dfyn,- 6o mstatements is NOT true?

  00.19: An astronaut in an ; ir5 8 cr/kqsta-ovz-4buj7kj ,kg.t orbiting 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 tks8;-u ajir-7.qrg t5 j4ob vkk/zc,tension 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 wh+y 9as/w37iett0l me mich it is attached makes a 90- degree angle with the vertical. The mass is released from rest and swings through a circular arc. What is tm a3w/t9y0lse7t ime+he 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 figurep1l gqt sbbv6p)/hmuph f .:2- to the right. Assume the car has speed v and the tops and bottoms of the hills have radius of curvature R. The driveglmtvus61:h/.)ppq -bfpbh 2 r of the car is most likely to feel weightless:

  17.10: A 2000 kg car moves over a2xol8sl )k x(n hill 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 radius 25 m, as indicated in the f2s x(nk8x)ll oigure. 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 circle at constant speed. The n-9l:ge*vps *7pqj n,m0u,jcqxuqk /magnitude of the net force on thxc,7p9,m0eus k/-qvlgn * nqj *qjup: e sphere

  11.47: A simple pendulum of length Lhasa point mass M released from rest fromvg/n y)v0ndfw+) l1fi 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))fgnv v0iy1fnl + /wd 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 s9hnde ty)dx)it* k y;)imple pendulum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranke)tty ;kny )9*)i xhdds 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 rub2uq ,qkukcq4/ ber stopper 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 freqqkcu4 k/qq2u, uency f, of the stopper?

  05.28: A mass, M, is at rest on a+c9 zm kj78sp8r7kkitl ,gwl - frictionless surface, connected to an ideal horizontal spring that is upstretched. A perc97- 8kiw zj lptkksrml g+,78son 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 person to hold the mass stationary there?

  12.22: A girl swings a 4.0 kg mass with a vh) vv-4 ra s(r5xiiqe8h:wt 3constant speed of 3.24 m/s in a vertically-oriented cqsea:i5vhi(rv3x8 4w thv -)rircle of radius 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) are at r n wqcf*zo06i.n/2;avxen8 w weston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. The distanxn;w iv a/zowcn8*qfen6.w 02 ce 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 about the strprdqj9j1)bl 8xr duf01urg,1x ,5rxj ing’s fixed end in a conical motion with a constant speed of 4.0 m/s. The string has a length of 2 j j9urul1rx8j1x qdr,0pd1 xr,b)f5g.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 unix8xgt 276g h-pz b18 watvesk)form circular motion as shown in the figure. The string to which the mass is attached has)7exspaggk 6w 2bxzh8tvt8 -1 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 rest 30.09v woekz67 l6gcpi2* u cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant angular acce6p26ck7 viuw*ozl ge9 leration 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 wit8 5yt.tzbfi -ah mass M = 2.0 kg is attached a distance R =1.75 m from the fixed centf.tbt5ay z-i8 er 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, startnmkh7u(cmtmr .cyhe l t q/(: e4oi.0)ing at the top, with initial speed 17.0 m/s. The object..i:oeenhc /y(lktmr q t(mum4)c0h 7’s speed 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,zkpx 8(k qfub98c0i :u starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved ckip:( 8qfcx9bu0kuz 8 ounterclockwise 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 a bucket. The bucket is spuu rrijk60va6wyd (z1viw.2 t. n in a vertical circle of radius L by a rope. W0rd 62 y1 uvkwzr(tv.ia6iw j.hen 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.