95.02: An object shown in the accompanying figure moves in ud apqfb 8q6/7eniform circular motion. Which arrow best depicts the net force acting on the object at the inst pbfdq86 7aqe/ant shown?

  05.31: A child is belted into a Ferris Wheel seatj* .b5td/ gkbye9ic -1zqf-ju that rotates counterclockwise at constant speed at an amusement park. At the location shown, which directionc/j9 i1gf*ek5ub--.bdyt qzj best represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular path at constant speed y). 5rek-2bcocofzad j-*p,t in a counter- clockwise direction. Consider a time interval during which the particle moves along this circulzd2 *fcort5ke o p,ab) jc-.-yar 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 cizdsp 9(m2 ,qox.i+rql rcular 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. s+(i ,2xqzr qo lp.md9 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 constant7q4wob oyj 3kw2cz2 3a5p ,uhu speed around the vertical circle shown. Which arrow best indicates th3b2 3aoq,5 pu4khyz o7 wjwu2ce direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected td; 7za55d v9 ob6d)wlg/ mrfxio the end of a string counterclockwise in a horizontal circle above dd x/)f57vligzbd;o65 amrw9 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 she let go of the string?

  15.23: A car moves with constant speed around a horseshoe-shaped31a u3d +x *;31n5je5yvtn lyedsxo am path as shown with the arrows in the figure. Which one of the following choices best describes the direction of the average acceleration of the judn3 xl ;315n+e 5 yyt adoaemsx*v13car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an experiment with a simple p r2mvm2 uy4x12maofw.jj1kq .6 bz;q pendulum that is released from the horizontal position at rrybfuv2q1. 2k.4womj qz; amx1pj2 m 6est. 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 fryw27n l gh00ucd,*8 w)m.nbl(ah wjepom 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, whilde8lmn. 0wwpyw g lcb*0 ) 7(nu,ah2hje 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 necessar.98gbxn ab/p-ck 7n fry to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frictionless surfac f /akpnc.8bn9xgb-7r e with a speed of 2.0 m/s?

  05.03: What is the centriper+yor;nf /nf1*x irn +tal acceleration of an object (mass = 50 g) on the end of an 80-cm string rotating at a constant rate of 4 times a second?+n ;xfrr*n+iyn o/rf 1

  09.24: A point mass moves along a hori4dpkqsx c 939wzontal circular path of radius 0.8m with a constant kinetic energy of 128J. What is the magnitude of the net forceqdp 9s4wkc x93 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 h 4l;na7rgfo .1.gb qxuorizontal circle at a constan;1b go .7xa. q4rfunglt 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 wdk( csq) q(mo32-(e 7vpwlxwof a rope, in a uniform circular motion. c3)2voe-xq(7kql (pw wwm (ds Which of the following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to a sfi9dygm:p .-4/ bj jkjtring 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 speed were all to double the tension required to maintain uni/f4 kp9j.gjbid-:jmy form circular motion would be

  07.22: A mass m is pulled outward until the string of length L to which it ig: 4v**w7vfq o) ueinrmwh:p: s 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 bottoqpv7vf:nm i:g)uw:*w roe 4*hm ofthe arc?

  94.15: A car is traveling on a road in hilly terrain, see 9xxr*lmu yra rgkp0-97ec2s- 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 mo rac kgylxmpur*e0-s9x 9-27r st likely to feel weightless:

  17.10: A 2000 kg car moves over a y j.gb +4;hfebhill 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 by the road on thy+f.ebb4j ;gh e car?

  97.13: A small sphere is+r-a*b3z/wvg vh n2t- i.yzne moving in a vertical circle at constant speed. The magnitude of the net for.* 2ynev+i narvg-3 b-/hzz twce on the sphere

  11.47: A simple pendulum of length Lhasa point *;d xj3 n.v5lwkqdp5z mass M released from rest from the horizontal position shown. In the absence of air resistance and fric5 d;q5z*jlv . kdpnxw3tion, 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 a simple pendulum. Th :rz-,7xnnejs e 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 gravi,znxj7s:rn e- tational 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 app5t g1yql6g z3wlied 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,3g15w q ltzgy6 and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connected to an ideal hl *vef1ehul ;ev5*oh 1orizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and holds it at this locu*l*1v levoe1h hef 5;ation 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 vy-y6lz+9; fzp+e2g isf fmx83.24 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 pof zzmp8 +f6 +y;fy2xeligv-9 sint of the circle?

  14.23:Two small identical coins (labeled X andYoh7e gtx(m19s*s sod+) are at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane oo1 xdssm 97e*go+t h(sf 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 abozg j hlp)j1t ;z:yw e.b7*c53b*wbyf jut the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. The string has a lenj)bj*.37 5ct1zwjwblfp b yg;e: *h zygth 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 iabkx* mzh7-k6 s in uniform circular motion as shown in the figure. The string to which the mass isx ka z7*b6mk-h 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 fsq o7kq;h) kr2z*2pwcm from a horizontal disk’s center. The disk starts to rotate from res*fp2 sh;kqq w kr)7o2zt 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 object with mass M = 2 7di2zkgsuycz:e t (2;brv6h0.0 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 from rest esky:h; 6(zc i 2bur2tzd0v7g 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, sta0jy w ru + 5gho9j41n-ugd9mdnrting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until i95 -nmj1rw 9g 0nouudd+ j4hgyt 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 the top, with initial speedscq.x;e a ui:z *oak(2 /psdmi1*io,n 17.0 m/s. The object’s speed increases uniformly until it ha k sm2ai:;asxe .i/ oopuc*d1 n,q*(zis 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 bl t; +jvujx2:fjock 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, ujtj;2 :xvj f+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.