95.02: An object shown vaoy h. 7rj1e13i*scjin the accompanying figure moves in uniform circular motion. Which arrow best depicts the net force a3ha11oej. iyv jc7*sr cting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotatzle/ (pfhf/ x7es counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total force el/hpxzffe7/( xerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular path ats9jsjbox0 6 jxr (+55 rgx)hnq 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. )0osj(nx5x6 g5 j+brqsrxh9j 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 spe11v1f4cck ifgv 4jwu;ed in a counter- clockwise direction. Considegk141u wcf c14iv;jfv r 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 moves clockwise with constant speed aroun63g+yer vg5hth(cxbu 2i 0qg -d the vertical circle shown. Wg2b6q(gx-+ec hg5v hu0 3rtiyhich arrow best indicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connecte/jp6 z+jmyeaw9zw2 e7uhsi+4 no 5hc/d 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 girl needs the mass to pass through the point labeled P in the figure, at whi4z+yaozjip ec+ 9whejhw2 n 6/7um/5sch lettered point on the path should she let go of the string?

  15.23: A car moves with constant speed around a horseshoe-shaped path as g8weg7.vhii 9shown with the arrows in the figure. 7higw e.9vig 8 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 perform an experiment with qvf.47cdv z ,9y kr1ija simple pendulum that is released from the horizontal position at rest. At the mz,q. fvc9dr vi7 4jyk1oment 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 twtdm/f eq*+d ca)ce+b+zs hy b9(3.kd he 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 coefficienc)sde+a ( +q* df.hbt ez9bwdk/ +m3cyt 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 circle ofwixj0nn6 xs e2 oh8w06 radius 0.5 m on a horizontal frictionless surface wxe s20 60nw8oiwxj6hnith a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (massk1kxim..ov iaw+k*+tw 5(qx 0yqxrf( = 50 g) on the end of an 80-cm stringw(xkq f *o i i.yxk wxa(m5v1+0t+rkq. rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a hori: ,k/ 6x)trd axk-tyzvzontal circular path of radius 0.8m with a constant kinetic energy of 128J. What iaky ) tzxtv/-6r, :xdks 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 ho ,hts ts*9ss;wrizontal circle at a constant speed of 6.0 m/s. See figure tt9 sws*,h;ts so the right. The work done on the ball during each revolution is:

  99.22: A child whirls a ball atvsqe 96j 810w.z kigef the end of a rope, in a uniform circular motion. Which of the followingszqwegi960.18 jvke f statements is NOT true?

  00.19: An astronaut in an orbiting sp4 8aj26rvaolm0al 4y nace 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 42vom4 ja 60y8llnraatension 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 whb zkzdd/a ua(x)/h m)g *8n4es,egp7d ich it is attached makes a 90- degree angle with the vertical. The mass is released from rest and swings throughnm exbsezd dzp/)/a*, au)48ghg(kd 7 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 rieer 7c b4hgfcn,6zo49 tam9 3bght. Assume the car has speed v and the tops and bottoms of 3 9zo9be4 6nmgrcetcbf ah,47the 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 o(:of zuaxdtck)86gs; f 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 indicaxc(ut kgf :;az6)ods8 ted 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 xuy 1+ngesx/ h:y)3 nfcircle at constant speed. The magnitudu hy3)/+nxxe 1:ngy fse of the net force on the sphere

  11.47: A simple pendulum of length Lhasa point oiw168i yzh*ww*)oif mass M released 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 thyowi 6z*ho1ww *)8iife mass swings at the bottom of the arc (point P)?

  16.32: A mass connected to a string0g w )dj2fxc+w,l(dkn forms a simple pendulum. The mass is released from restjd(dxc, wg0k +)2wlnf and undergoes 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 f/bja:d)axhfb*c9xwrl ).)hr orce of 5.0 newtons is applied to a rubber stopper moving at a constant speed in a horizontal circle9.arhb :x )h)d*f wj)calrb/x. 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 rest on a frictionless surface, connected to an ide1(me w xr nl5otwwg; 5i3ja+6jal 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 sprin5ijwj;(m n +x g1aw63wortel 5g 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 k6(hrd:p 3gi r4 s:)si;duyih with a constant 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 th3sr:r) dpd: y hi6;guiikh4(se circle?

  14.23:Two small identical coins (labeled X andY) are atiogubr p8q q 4zj8d,v9812r cs reston a horizontal disk rotating at a constant rate about an axis perpendicular to the joz,8cq pu qb91 grri2 8s48vdplane of the 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 about o8clmy+* ozq-c4f7s c the string’s fixed end in a cosc-+l7cz* coym fq 48onical 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 in uniform circular motion as shown ic+sof8i0 2bta3 iaa b8n the figure. The string to which the mass is attached has a length of L = 3.00 m and a02i+sb8fa c 38oat biforms 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;00ivqtr6uzj. c0a2n lhvt m9 from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant angular a .u9z jar2 0q0tnv0v;i6thmlccceleration 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 distance R =1.75 m fromk:6ixy)k+ j gu the fixed center of a disk as sh+ ij)kkg u6:xyown 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 at the top, with inixm tycy4*qgz:3f8 fs*tial speed 17.0 m/s. The object’s speed increase syfx:fz4**ty3 cq m8gs 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, starg ov-y/kg3a -p)0j z i.)kcdexyqq7a+ting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it gv)kx.ipoky0+73g)ejz y q/ qca-ad- 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 bll0tlvdkp:ot4,wd (w.xc.k,sock rests at the bottom of a bucket. The bucket is spun in a vertical 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 remainvlwlo4. p tx,s:.kdd 0(c ,kwt 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.