95.02: An object shown in)clryk+ zwy0j2k9 s a1 the accompanying figure moves in uniform circular motion. Wh sykj2wka) z9ly+r 1c0ich arrow best depicts the net force acting on the object at the instant shown?

  05.31: A child is belted into af7ncvx 33mu4xd5 efn2 Ferris Wheel seat that rotates counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total ford unc5ffx3n3ve m4 2x7ce exerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular path atdbsq5 qkj z6faqw:/1t6r sd*4 constant speed in a counter- clockwise direction. Consider a time interval during which the particle moves along*dzrdtf5qqb js6/sa6kw:14 q 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 d6cbugpda6p4 lv f1+5 at constant speed in a counter- clockwise direction. Consider a time interval during which the particle d56d4cv f+luapb 61pgmoves 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 wits0 skzj) qq5a92q linzun4r6+h constant speed around the vertical circle shown. Which arrow best indicates the direction of thuk0q+5zs iz nj rs6)2l4 a9qqne object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls aa2z-*(fic c13o fxd il 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 viewedo3cdf(* f-2i 1xzcli a 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 wtb75ith 3* n7rsdgf0around a horseshoe-shaped path as shown with the arrows in the figure. Which one of g0sr3i7n7*d bhttf w5the following choices best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the M5aev)n:1va gp oon perform an experiment with a simple pendulum that is released gvne:) v1 ap5afrom the horizontal position at rest. At the moment 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 rvm69e, j)gf a2(1q vueng n;hgough turntable as the turnta; eh6 aj gqemgf)vv(n 1u,gn29ble 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 object?

  07.19: What net force is necessary to keec 69zgg*m)gwk aq/ 2nmbeh+c -p a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizoncg2 n bkg6mqwe-/ ha9g+*mz c)tal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centdg x7rro/q.f xh4 m65fripetal acceleration of an object (mass = 50 g) on the end of an 80-cm string rotating at a constant rat.7 6xqdx mghr/rf5of4e of 4 times a second?

  09.24: A point mass moves alm2c7 sapgzy (0/z di/gong a horizontal circular path of radius 0.8m with a con7(psi cm2g0 /a/zgy dzstant 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 string and whirled in a horizontzp7am/ntqi2,jpn rznu3 k 79-al circle ati3jtz7pqz7 rkuna/p,2n9 n-m 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 the end of a rope, in a uniform circular motionlqm3o rl5 w69h29k mco. Which of the following stateme3r ol km5q6loc29 w9hmnts is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m toe +qo9 +4rwegd a string and whirls it around in uniform circular motion. The radius of the circle is r, the speed +o4dge+qr w9 eof the mass is v, and the 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 pulled0ubnbp kgo)hd1ggw8q9e o ;a k+:1 a:x outward until the string of length L to which it is atta;g1+eophkaxbb9 u:1: g0 ak) dgnqow8 ched 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 ther 2b9e*xv a u*4vfb 0cc)d6rjl right. Assume the car has speed v and 92cerb*6avf r0ldcjb x4 )vu*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 constant speed of 12.0 m/s. At tc k99p1z dsa5n j0(tmvhe 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 knscpt (0vd5a19jzm 9represents 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 consta w k3h8z;ksrm8nt speed. The magnitude of the ne 8wz3 sm;h8krkt force on the sphere

  11.47: A simple pendulum of length Lhasa point mang-9sd9)v:u sf:juk j ss M released from rest from the horizontal position shown. In the absence of air resistance and fris)snu:-vjk9 d:g u9 jfction, 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 swings at the bottom of the arc (point P)?

  16.32: A mass connected to a string forms 7:pfh3ggl;jx;sd j qb ,yxx11a 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 the string (T), the gravitational force7 lxqjb; 1x;d: x y,s1pfghgj3 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 stopper movingykd9o/s:p f1oz7k/u y at a constant speed in a horizontal circle. If the same kykop9 //uf1o zsyd7: 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 frictiobdp(m.78kg wg8,8y sv8esxv e; 7cxajnless surface, connected to an ideal horizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and holds it at thie7ac( ;8ye.j v8 spmxbvd,7gw8k8s xgs 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 3ravyg z k**jh34i-i +tf4ac5 g.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 the circleaa43*iy-ig5k fz +h4ct v *rgj?

  14.23:Two small identical coins (labeled X andY) are at reston a hog ccu ,kmy tf)f5o*z3;rizontal disk rotating 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 dc tuk ffz3mc)g;,o5*yisk 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 pp)hxp/ml(/dzg:y )d about the string’s fixed lp / hyd:)/gm(z) xdppend in a conical motion with 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 ingtawi ok-v b9/+;uq ;1l7 2ghm mq3ges uniform circular motion as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m and formtvg9 uiw+;7s ge13mq l/2hb;okga-qm s an angle of $θ=50^{\circ}$with the vertical. What is the speed of the mass?

  13.23: A small object of mass 11.0gqh,lx5pzz14w is at rest 30.0 cm from a horizontal disk’s center. The disk starts to 5zp zlq ,w41xhrotate 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 objecti tp3x* y4gsp9 with mass M = 2.0 kg is attached a distance R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating frop*93xsp4ig y tm 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 initiain4 ;cpd mzx+cw+lf/hutvdk8 ;egz 0bn g5 )05l speed 17.0 m/s. The gmwbhg+p4+/8kti 5dn; zc d5u; z0e0fcv xnl) object’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, starting at thg8/ :wza3c ka,xyncj1 r;)g tme top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise throurj;cka1mgw)8z ntgyx/,3:ca gh 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 rz1, ag*g8;4*vce y(etcx aflxz;w 8yn ests at the bottom of a bucket. The bucket is spun in a vertical c* c,e1(;tgxe8yxcaal ywv 8gzzn 4*;fircle of radius 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.