95.02: An object shown in the accompanying figure moves in unifo sz ksnjxq+39bndcsd ;+1,) surm circular motion. Which arrow best depicts the net force acting on the object at the ins sn1z3 nu 9sq;+scjx)dkbd+,stant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockwisv )avt.o/3c)j9cb) qh3bq e zee at constant speed at an amusement pt3cv3 .aeeb c jho vbq9)/z))qark. At the location shown, which direction 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 d qc4lwqve 5-3in 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 from q3dv c-54weqlPoint 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 speed in a ;md+pv--kgc: rzptf, counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from point P to poi-;pvfkgc- zd,p: t+rmnt 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 around thed*cv. 25 ksamf vertical circle shown. Which arrow best indicates the direction of the objed2k*f 5 vma.scct’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a fw ..co 2q;rudstring counterclockwise in a horizontal circle above her head. The figure shows an outline of the mass’s path viewed from above the twirling masofq2rw. u. dc;s. 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 horse; xw ;orh+tv(lshoe-shaped path as shown with the arrows in the figure. Which one of the followhw;r;x+ tv l(oing choices best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moljt01oz v a +nd:(e4vwon perform an experiment with a simple pendulum that is released from the horizontal positiontw 1jo:(za d+v4e0vnl 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-lbjha +9fic,u,xq:p /pi yr04pike object rests 2.0m from 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 ji/ap uix0pbq,h:4r, pf c+y9 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 pu-/hc8xvva 7i+ h(xkixck moving in a circle of radius 0.5 m on a horizontal frictionless surface vi- x8(ac+k/ i hvxx7hwith a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) *5 b7;sz zasjkw4s h2lon the end of an 80-cm string rotating at a constant rate of l s45 j;*zabhsks7z w24 times a second?

  09.24: A point mass moves along a horizontal circular path o-7xtqxvd3 n:.lg;/s x9z y updnp4zi* f radius 0.8m with a constapx; n.zu3*vdxtg:i ny- xpl4s9 z/q 7dnt 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 attach vs4l2u2.l3oykkcwio zk(c56 ed 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 right. The work done on the ball during eac62k2k o.ks czi5u4ly ow(lv3ch revolution is:

  99.22: A child whirls a ball at the end of a ropoy54lceo q 4fzxbz4) :e, in a uniform circular motion. Wyq:f)oe4l4czzx 5 ob 4hich of the following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to a /k ai6nhh1 zi2 0r * hfdumv5.hobx*d9string andh1u62ab nf m 0hk */hr h5.xv9id*oizd 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 uniform circular motion would be

  07.22: A mass m is pulled outward until the string of length L t)2:6zckdoq x ko which it is attached makes a 90- degre) :dkkc6q x2oze 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 travelingsdf: sr ilwo8i7 u r59lqlo q9iv3(d,0 on a road in hilly terrain, 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 driver of the car i8r93 url9v i:dd q0w o7fis isq,oll5(s most likely to feel weightless:

  17.10: A 2000 kg car moves over a h01 qaneu88,ik0kcf q g- f6g-y3 yhmuvill at a constant speed of 12.0 m/s. At the very top of the hill, the shape of tegkhyv0-1 8fkfu i0u-,yq6 3ca8nqmghe 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 the car?

  97.13: A small sphere is moving in a vertical circle at08 .uk(oitd ij constant speed. The magnitude of the net force on the so (kij0du i8.tphere

  11.47: A simple pendulum of length Lhasa p8j ze6dmo:-tjbgm 63fun rvto2aj 0;2oint 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 the mass swings at the bottom of the arc (point P)? otrt:m djuovj6za8- j6ebfng03;22 m

  16.32: A mass connected to a stringa7nim c k10: k+5nz 6xwofzmd5 forms a simple pendulum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranks th1w 7fn5x a m56idcmkkz0z+ o:ne 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 for3fmbg u07062gb mgyo fce of 5.0 newtons is applied to a rubber stopper moving at a constant speed in a horizogm 72m0 f06oggf bbyu3ntal circle. 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 caf.hn+/ m1iml zq (+mfrictionless surface, connected 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 equilibriumm.(mf+qan/1 lchm i+ z 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 o5fzma4 w.g40 (deesth vxpo) ,f 3.24 m/s in a vertically-oriented circle of radigfm 0ahxod) 5 4s,.tvewz(ep 4us 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 coins (labelraafa xb 3t8kn 9r )10w:kj0t2u 3kuxkr9 1rlred X andY) are at reston a horizontal disk rotating at a constant rate about an axis perp r8u1flta ar kr:3w)1 nk 0bkxrja099kruxt32 endicular to the plane 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 an(5f:*8wzl1 ijctc pw kd moves about 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 8p1zk(ltwcwc: *5fij 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 uniform7m: kb0k8; e sxsk0 qtuybv37v circular motion as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m and forms an angle ov ub73t7:es8bs 00kv xqkmky;f $θ=50^{\circ}$with the vertical. What is the speed of the mass?

  13.23: A small object of mass 11.0g is at rest xn0k s:)w6katw yc9m -30.0 cm from a horizontal disk’s center. The disk starts tocsnk mak9w0):wx t6 y- rotate 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 object with mass M = 2.0 kg is awl0vl -69a sr9 51wff6eoii6;o/:y joojnz zlttached a distance R =1.75 m from the fixed center of a disk as shown in the figure. The disk startjv0fiw a we s6olio/:o l- 9l96 ronf1zzjy65;s 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 initis9kb4.2: o -ksig.x snpbo 5peal speed 17.0 m/s. The object’s speed increases uniformly until it has moved coxp - b 4b5on :.kip.e2sosgks9unterclockwise 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, s9 +x3ekod,c c*q5idbo tarting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counter+ xceo*i,3 dd5cq9bokclockwise 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 v /ks5n67o8(mw e6dq0w m4he1fsgbl z 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 remain in place in the bucket. When the bucket is at kz6be 0/(5s8wq1d 7 mvl sf4owm6ghnean 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.