95.02: An object shown in the accompanying figure moves in uniform le*45 eatvt)v circular motion. Which arrow best depicts the n)ltev t54v*aeet force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockwisem-r8zakgx- h. at constant speed at an amusement park. At the location shown, which direction best represents thrazk8 .m--x ghe total force exerted on the child by the seat and belt?

  08.14: A particle continuously moriql :7 jxmbdtr6*d 0 v80uju+ves in a circular path at constant speed in a counter- clockwise direction. Consider a time it *dxm7l b:j+rj6uqdiru0v 08 nterval 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 o0jj -;feod0 u42gv stcircular 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. Point Q is exactly half-way around the circle ;s 0ot-o vejj0d4fug2from Point P.
What is the direction of the average acceleration during this time interval?

  15.07: An object moves clockwise with constant speed around t bc.quz31stzm+/ 2;za67tfbgz* .b 4 tbxc fgbhe vertical circle shown. Which arrow best indicat.b/g 2cfs t xb cabqbzu1 ;7z4* gf3b.6+zzmttes the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the endfi-yb da5. -zweeqp;+* juc6g 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,a-y+;df .6ic j* bz5p-wu geqe at which lettered point on the path should she let go of the string?

  15.23: A car moves with cons +qk5 ybmt,x.ntant speed around a horseshoe-shaped path as shown with the arrows in the figure. Which one of the following choices best describes the direction of+,.5yb kxtqnm the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an ex d wh3fz6)v-d4qqv uh+periment with a simple pendulum that is released from the horizontal position at rest. At the moment shown in 6fuzhvvq+ -4d w3 hq)dthe 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 centerqj)lt7b 3a 3ha 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 0.80. What is the magnitude of the force of friction act)7bla a 3jqh3ting on the object?

  07.19: What net force is necessary to keep a 1. 0 kg puck moving in a ci x5qm.wkum:r:(zz,ea rcle of radius 0.5 m on a horizontal frictionless surface with a spee.,( mw arz xz:qmku:5ed of 2.0 m/s?

  05.03: What is the centrd u.mq4b mpu1;ipetal acceleration of an object (mass = 50 g) on the end of an 80-cm sm4dm1b.;qpu u tring rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal k vrhmgl :,rst3 * o9zpttb5+*circular path of radius 0.8m with a constant kinetic energy of 128J. What is the magni9 tm*h,lpv+5 *t:sgkro rtbz3tude 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 horizont5zwpirvt+ 8 z:al circle at z8rtv :z+w ip5a 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(zi 3t; r;rndnv ii(;v, in a uniform circular motion. Which of the following(;(vi; z nr td3ni;irv statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a tpk(s u.7p: o)psbwg:mq11. vylcej 7 mass m to a string and whirls it around in uniform circular motion. The radius ofplq7 smyok:( ) pjt.ecw1 svgp:u.1b7 the circle is r, the speed of 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 pulled outward until the string of length L t g9ef+z3* 8znl,g1jckkk syj.)x7p qho which 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 the tension in the string when the mass swings through the bottom ol9k7f1k.g *n pczz ekgs jx+ 38hjy),qfthe arc?

  94.15: A car is traveling on a road in hilly terra-9f2hm +q1epwz txe:lin, 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 dremw z9f1h+: q-2tple xiver 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/znfizvzg-f ev. ycs;6. hl5+:w5y+jghz0dh /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 repre:5h6hl5zi+c g0;d zzzj vfwns- hfvyyeg/.+.sents 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 mqwi;3nx r2hhd0vpb 42km6d c0agnitude of6rx0;db 4 23dp n0qchk whm2vi the net force on the sphere

  11.47: A simple pendulum of lebv1jl++,f7 c3pzhqlim uun/8d6xj *c ngth Lhasa point 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 relationsh+pv 8*6z / ncc3f lu+j hu7bqxi1d,ljmip 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(mx31bww4 x.jpt8erd( /nywd simple pendulum. The mass is released from rest anw3 j ( dpr1dm( 8ey/xb4wxn.twd 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 force of 5.063 p+r p)jt+we oww4a:mc tocu4e)s1e newtons is applied 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 t)te+or ctwe+se:mp 6w 41 cwp4j3oau)he speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, conyss;hp0iuk( tq.*9sc nected 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 from equilibrium, what is the necessary force applied by the person tophss(iy ;sc.9*q t0 ku hold the mass stationary there?

  12.22: A girl swings a 4.0 kg mass with a constant s :c63k)vsaoolpeed of 3.24 m/s in a vertically-oriented circle of radius 0.75 m. What is the net force acting on the massscl)k:o a36vo when it is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) are at reston a horizontal di9*: dive6cdj )wfe:xd.o z6mbsk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. ixd j6*f bcz.eve 6d:)m dwo9: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 teztq 0mzn +,0khe string’s fixed end in a conical motion with a conszm q,nz t0e0k+tant 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 ca,yuhq2bw 6 k/ircular motion as shown in the figure. The string to which the mass is attached has a length uy6 2 /hw,qakbof 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 11.0g92fryj x( q-in is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constan9ryin qx2(-fjt 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 il zy2o6n1t lv4s attached a distance R =1.75 m from the fixed center of a disk as shown in the figure. The 4lz 1t6yov ln2disk 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 e2t51+ ac gs0g hbf*dwyl4re,initial speed 17.0 m/s. The object’s speed increases uniformly until it has mov0g r2ys5edhgc* f1+ab wtel,4ed 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 the4r7 ri2* ozwm1 hkf0zq top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it w1q r4o072 hfm*k rzzihas 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 block rests at the bottom of aew ga hjj,93u0 bucket. The bucket is spun in a vertical circle of radius L by a rope. Wheauw e39j ,g0jhn 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.