95.02: An object shown in the accompanying filqcatkp7j)xlc46nnh pq* 817gure moves in uniform circular motion. Which arrow best depicts the net force acting on *c8q)7a pqh6tjln p71l kx cn4the object at the instant shown?

  05.31: A child is belted into a Ferris q). d2e-e-5 3:pcil6ckgxr cdxt(p qeWheel seat that rotates counterclockwise at constant speed at an amusement park. c.-26x:3tlpgq(eiec cd5q-edkxp )r 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 mov eydh( uv/g 18:j ))sy3ftnzlees 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 poyh g :/euens3)ft lj dvy(z8)1int 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 sbk qvz76, wlk2;0b-nez w -nifc4d( cepeed in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path frowq i-z6f2wen - ( ;vdzbe 0ncc4l7kbk,m 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 (y o:x4gmrjasv 2(s4pvertical circle shown. Wh:apvr 24 ymsxj(s g4o(ich arrow best indicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the -/qfn gq: (jl--pgn(ysqwh 4kend of a string counterclockwise in a horizontal circle above her head. The figure shows an outline of thnpgn q(/(s- qh:jwg- y k-4qfle 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 allms8vgbfx2 s9o,( k7 horseshoe-shaped path as shown with the arrows in the figure. Which one of the following choices 2 s9lsgf( vk 8obmxl7,best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an ex4.xef67f m6r) bmo bgiba3z(u;cu6wr periment with a simple pendulum that is released from the horizontal position at rest. At the moment shown i64ffubmagb6.br6e)i 3cr 7; x(mzowu n 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-likn ,m1c-dk* b ng,lkw+uk3 a3dil+ n)dhe 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.nlkhnn ,k u,b *m- cgd3k13)diwlad+ +80. What is the magnitude of the force of friction acting on the object?

  07.19: What net force is necessary to keep a 1. 0 kg puck moving in a circlaa (-fk)gpv :ue of radiakgf:a)-u v(pus 0.5 m on a horizontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal s/cs jz;1z4f sbyw*/w acceleration of an object (mass = 50 g) on the end of an4f bsz1/w/z*s;jyw cs 80-cm string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal circular path of radius 0.eb/, lo e7r;oa8m with a constant kinetic energy of 128J. What is the magnitude of the net force acting on t /bor; ,a7oleehe mass as it moves?

  96.24: A 2.0-kg ball is attached tocy7lqdc f0we 6512f,u( b uyiy a 0.80 m string and whirled in a horizontal circle deufqi5 yc yl(6y ,b7w f0uc12at a constant 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 ta- hf.ljg9) czhe end of a rope, in a uniform circular motion. Which of thelf.jg-z 9 h)ac following statements is NOT true?

  00.19: An astronaut in anep( i56i*9q:6haf70drnvrdakf da j8 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 tension in the string is F. If the mass, radius, and dv8 67*fhraianfp9ki(a6e 0r5d:j d qspeed 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 lengxyocoog)).o +f0pyq hz *pj *1th L to which it is attached makes a 90- degree angle with the vertical. The mass iszo*c o1o.f0po) pgjxy )yq* h+ 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 rop wejq8lk+qdnrh 2l 2fvoxf7v) 9i+22ad in hilly terrain, see figure to the right. 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 likelvwvq8rh)qj fp22dk9e+ 2 l xl27nof +iy to feel weightless:

  17.10: A 2000 kg car moves over/ +chtqqjzdmx67g8(0v d h(9t murv3h a 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 figure. Which one of the following choices best represents the magnitude of the upward force exerted bd3u r z7(q/8 hcmqv+jt(v6h t0xdgm9h y the road on the car?

  97.13: A small sphere isn x i:-g: it;s.hpqt27;wkcul moving in a vertical circle at constant speed. The magnitude of ixnlc;-hswt;t. :u igk72pq : the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mass M r0cyvzn:u-s tw1 s ,pk).kwaqldb )5 c;eleased 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 of the following choices describes the relationship among these forces when the mass swk czbu. csq) ,a5yp1 )kn-;wwltd0vs:ings at the bottom of the arc (point P)?

  16.32: A mass connected to a string forms scu,v*;jlz)d0kc/cqq m/ - g ra simple pendulum. The mass is released from rest and u-qqz s c )/,gc0m;lrk/cduv* jndergoes 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 point?

  04.41: A centripetal force of 5.0 newtons ist,qbe69 89 zh0t(obgdw/bs la/ glit 6 applied to a rubber stopper moving aw8ta t,o bbi96 (bg6dlglzh 9e /tq0s/t 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 frequency f, of the stopper?

  05.28: A mass, M, is at 7s n11ylumt t.rest on a frictionless surface, connected 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 fmn.ly7 tu st11rom 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 6qnpk7ht yi4: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 the lowest point of th:pqh4yk 76t nie circle?

  14.23:Two small identical )kcf(i s bu+-6qq ,sylcoins (labeled X andY) are at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. b yfuqil)skcs6-+ ,(q 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 abo,d2n u1-wm00) ztg d ysnt *xueey/yu4ut the string’s fixed end in a conical motion with xud/u4,0ne2yugm0 tetsn *d yy -1wz)a constant 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*j21tz ncektm 7w1ar - in uniform circular motion as shown in the figure. The string to which the mass is attached has a length oktc7met-12r j zawn 1*f 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.c8 4y-684adifc x kary0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant ancc 48xa8r-d6 yyf4ikagular 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 attached a di y,ekoy(wu+p1stance R =1.75 m from the fixed center of (y, uw1p +keyoa 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 fz/thjh:3 v( )5nqw obat the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an5( wh / qnoj3:bzvh)ft 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 initial snru5, n7xkm gei:3 kp3peed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwiseg7n kupxr5i,e3n3 :mk 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 isz; 4adebf j d.p,x+ kg5k4,rjg spun in a vertical circle of radi5, pjddkfgjbx z g4+., ar;e4kus L by a rope. 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.