95.02: An object shown in the accompanying figure moves in uniform circ/n 8n z.t-;8okmg , drtc:gnzbular motion. Which arrow best depicts the net force acting on the object at the -n;/,8tgm nrgnz8tkd .cb:ozinstant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockw9s7zhyksv1 ,yzmo u.d; yegm0x(t+0x ise at constant speed at an amusement park. At t( 7yhmt.ou0yx+zm sz ,k9sy;dxg0v1e he location shown, which direction best represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuously movew2.kut f vl+92p zy4sas in a circular path at constant speed in a counter- clockwise direction. 2w lp9ta+fvy2 ku4.zs 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 iur n* wc4kdp;jh6 8vqp/) zq5wn 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. Poinq zjnh5dpkwcq*r/8 u4w );p6vt 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 clovm+q.ngaahqw . xenp 6)3423 (dxuvng ckwise with constant speed around the vertical circle shown. Which arrow best indicatesd(x) 4+2pna3e a.qm g.vxqhv3n6un gw the direction 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 strzm7s)x7l2h bg/r qt:fp1,rl fing 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 girl needs the mass to pass through the point labeled P in the figure, at which lettered point on the path should ql r :2x7/1 gfrtzmlbfh) 7p,sshe let go of the string?

  15.23: A car moves with constant sp 2gzxxiq 2cma79is+o .eed around a horseshoe-shaped path as shown with the arrows in the2m7c. + gozia29 qsxxi figure. 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 perf:sw ipm 4h7 q)cwc,m.fjs1:kb orm an experiment with a simple pendulum that is released f7j4k)hcq . m:spfw,swcm 1ib:rom 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-li2 / qwlb:pr * ge/flpmlmsud8dbu3,+0ke object rests 2.0m from the center of a rough turntabdmrp /mb2+ p*e, gdu3:8l0bl sql/ufwle 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 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 , qvvd;,*msmu circle of radius 0.5 m on a horizontal frictionless surface with a speed of 2.0 qsvmd*,,v ;u mm/s?

  05.03: What is the centrisdk u(ua9eg1 jm:p/f j96hsa *petal acceleration of an object (mass = 50 g) on the end of an 80-cm *(js19u/s:9kaupfjg d6 haem string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves alon:+pwnp.depv 9g a horizontal circular path of radius 0.8m with a constant kinetic energy of 128J. What is the magnitude of the net force actin9epdn+p.: vpw g on the mass as it moves?

  96.24: A 2.0-kg ball is attacheda,/me:9 q3sh 6soidt:nf et:d to a 0.80 m string and whirled in a horizontal circle at a constant speed of 6.0 m/s. See figure to the rns:af /eh: , t ti3qdedm96s:oight. 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 c,ui9 l(sy*kckircular motion. Which of the following statements is NOT true kyu*ik,s9( cl?

  00.19: An astronaut in an orbiting space craft l9.0htax ci-nno-r2cattaches 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 tensxo rt an9-0hc2n .icl-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 whi0nq/i + uqk4nnch it is attached makes+qk4 in n0/qun 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 the rig2epwhb -dyevi -mm;r6*-r5 xfht. Assume the car habfh- ;mv 6- pi*m25der ery-wxs speed v and 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 atcl mz 5z*ed59b3)wp+6ea j ee v.vm/ek 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 by the z535/a m*.zv)eke9jl 6ebdvmpc+wee road on the car?

  97.13: A small sphere is moving in a vertical circle at constant speed. Thbe-. ml-doy6zk7ikjpk*/ 3 sabzpq7.e magnitude of the net force-ipbm-qj/pb*k 7s3. 7la 6.odkzzkey on the sphere

  11.47: A simple pendulum of length Lhasa pom+ygg u3+-2qvj ma(qfint mass M released from rest from the horizontal position shown. In the absence of air resistance and f+g(gmuva+ 3fq-y mqj2riction, 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 t68v 6rui+avtf o a string forms 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 t6tafivu r6 8v+ension 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 aeo bm.(j5.3hgso 0h aipplied to a rubber 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, andb5.e3 oa(.mh s0og jhi the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connected to an idea gj/mhy,; /vd0cn1oqr q w5f+g pl6,ffl horizontal spring that is upstretched. A person extends the spring 30 cm from ,0 hdroq;f1v+mjg,/ypf/6 n wfgl5cq 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 constant speed of 3.24d;tpp+os8(id m/s in a vertically-orien +dppi;so(td8 ted circle 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 coinsh/;)t p3 x- pm- ykskvg+:kyjz (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. The dis)vy+g k:p-t-p/zx3 ;hjy ksmktance 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 -1cx*b*cnawj the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. The string has a length of 2.50 m and forms aw-cb *xn*c1j 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 shthby(3c5xhb )own in the figure. The string to which tcy3)(bh5 thb xhe mass 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 rest 30.0 cm from a horizontal disk’x,bb v8 q-eg+ls center. The disk starts to rotate from rest about its center vg8qxb l,-+bewith 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 attached a disj u3k4 ob2z-cd qs0pz/tance R =1.75 m from the fixed center of a disk as shown in thq4kdbup sz2jc0-o 3 z/e 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 ci(8 s+w26 jmnmze ks:i;mlf5larcle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved count8kjm+l2; s6: wsnm( il5amfezerclockwise 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 as+z/e wg6 e;:8h/rba 7hwibgut the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an a/aihghgwur+bs/eb w; :e87 6z ngle 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 blq:05wyntjks 8ock rests at the bottom of a bucket. The bucket is spun in a vertical 8nwqytks0:j5 circle 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.