95.02: An object shown in the accompanying figure moves in uniform circular mosak6(fc3a 2c ption. Which arrow best depicts the net force acting on the object at the instant(acak 6pc2 3sf shown?

  05.31: A child is belv5xd-:nv3x) b m+nqgd ted into a Ferris Wheel seat that rotates counterclockwise at constant speed at an amusement park. At the location shown, which ndmx+xqngv53 v)d-b: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 speec-5 ryqnmtnnyp icdu 9 :g-h)1l47jo8d 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 hay9p thocc nidlq1r-j74 g )y:5nu8n m-lf-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 const;hdq* ezxk ;ownvhwai(-s)ah2-) 9 hx r f;hp4ant speed in a counter- clockwise direction. Consider a time interval during which the particle moves a- zehxpwi* hn ;)kswv ;o4ad-) ;f xhrhaqh29(long 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 around the vertic p:vjnou(- h(ial circle shown. Which arrow best indicates the dip (vuo(hn:- ijrection of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a smacbpe aog y8sv a:(:-2yll mass connected 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 figurgbs 8yc (ea-voy2p: :ae, at which lettered point on the path should she let go of the string?

  15.23: A car moves with constant speed y n7s9 yvvm;d801ceydaround a horseshoe-shaped 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 car in traveling from 1yve9myy d7 ;cv80dn sWto X?

  08.35: Astronauts on the Moon perform an experiment with*bbanqzf8v r2 a)q1w6ntwxqc9 :7:yu i9 /kpw a simple pendulum that is released from the horizontal position at rest. At twwxzcwrnab 1 q)6nitfuq 89 /y*v:qa 9kbp27:he 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-likmxnyzsjj-o 6l -a6/ f(e 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 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 frictiono /m6f-jzx6(j - lynsa acting on the object?

  07.19: What net force is necessarfm4n r)ewt(wj *-upt(y to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frictionless surface wit4wprm u)fne -tw*tj((h a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) 2ukrulo)kz)d eu :-lt0wnk0 3 7of9deon the end of an 80-dtdzo79 o ekw2 3l-u)l:n)e u k0ufkr0cm string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a ho kdp( 4hkj sf4w82hnm1rizontal circular path of radius 0.8m with a constant kinetic k fhnswdp(182m4 j4 hkenergy 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 attached to a 0.80 m string and whirled in a hor; w8mne;h bii:izontal circle at a constant speed of 6.0 m/s. See figure to the right. The work done on the ball during each revolution8 ;wib ;emhi:n is:

  99.22: A child whirls ax0vgb qlhr .4o )*obwu-njc *) ball at the end of a rope, in a uniform circular motion. Which of the following statements is NOT truvcu -oohb j4brw )xg*lqn0).*e?

  00.19: An astronaut in an orbiti suh jv38e,q (*kycjqkht rn+y1;1cy*ng space 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 tension in the string is F. If the mass, radius, and speed were all to double the tension required to maintain uniform circu qk* hnysj+ j ;1e(qyk,chvtr3u8*cy1lar motion would be

  07.22: A mass m is pulled outv4 l0 lyg+ ;vsh0l:gjzward until the string of length L to 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 tens0z lsvlgj 0h g+y4l;v:ion 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 rq8a nzzv+ :/gfight. 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 most likely to feel weight fv a+zznq:/g8less:

  17.10: A 2000 kg car moves over a hill at a constant speed of uu-fq2tr0v1wa ;xd6 ot.f ,pr 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 r-r 6xu1;2op t u ,atfvd.fw0qfigure. 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 ciic..am tj2ctv ,c/g /prcle at constant speed. The magnitude of the net force o,vgp. .tcac/jcm2 i/ tn the sphere

  11.47: A simple pendulum of length Lhasa point mass M released from res2m -hgjw1(jf/s i nrt7t 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 thh r1j wm-tg2fi/ (sn7je 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 p,l8yrp 6zpj d6j x-q-vendulum. The 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 gravitational force on the mass (W), and the net force ap6j ,y- l86-qxd vpzjrcting on the mass (F) when the mass swings through its lowest point?

  04.41: A centripetal force of 5.0 newton jk96+tvd v2kddr 3hw8s is applied to a rubber stopper moving at a constant speed in a horizontal circle. If the same force is applied, but tv +wk86 3jrdkhd92dv the radius is made smaller, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is au:c q04 crlg)bt rest on a frictionless 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 equilibrium and the mass connected to it is now doubled to 2M. If the spring is extended back 30 cm from equilibrium, whacu c )0:4lbrqgt 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 3.24 m/s in ot9 kfw.aig )f4zj*o9a vertically-oriented circle of radius 0.75 m. What is the net forckf.t)i o goj fw949*zae acting on the mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X a)yqpu *;xvwmq0-twafv / 3s) 0qpnzz-ndY) are at reston a horizontal disk rotat-spfz/ vvy0ztwx);q )wn 0qma*3- quping at a constant rate about an axis perpendicular 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 strinuzvj5y.4fkp: :n) n0v 9hjhjgfv9; ohg and moves about the string’s fixed end in a conical motion with a cov4z9 v5 yjfh)jvnn0;p9f.ujgh: k:oh nstant 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 a. qrqjxs)h90 js shown in the figure. The string to which the mass is attachedjr0x)hq 9.sjq 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 ;u/u gerb 2cj)of mass 11.0g is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant angular acceleu; ruje2g b/)cration 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 distancey a;0nxj z(z.)bq(eno R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating froq(xe.j) zn0bo nay(;z m 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 initial /8wrxpic8 h, tspeed 17.0 m/s. The object’s speed increases uniformly until it has moved / hw8tx rcp,i8counterclockwise 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, s6v n s*7lf 0p22ilhhantarting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterfli7avs6 2n*l2n0 phh clockwise 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 a bucket. The bucket is spu+eyvs ia,jl g,/ep:m:d ,9 cmggg *k1qn 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 a je,gvkmm:a9 s, gg+ *lgpei/yc, d:q1n 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.