95.02: An object shown in the accompanying figure movec56fer do1 g-lizh s+1s js0 ;()goguqs in uniform circular motion. Which arrow z 5c0hsug ;(oijdglg)6 1 o1efssrq+-best depicts the net force acting on the object at the instant shown?

  05.31: A child is belted into;jr e8qs)g:0daqo .g )fgcbti*yn3 b 6 a Ferris Wheel seat that rotates counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child by t oif3c jd6*ag)g8qb )tre;ys. b0q n:ghe seat and belt?

  08.14: A particle continuously moves in a circular pat-/ - .2qqcwkyw 8lpwjph at constant speed in a coun-k/pq 8-l2 w qwjwpc.yter- 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 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 speed gko;tf;id98t1 idmr 8 in a counter- clockwise direction. Consider a time interval during wgm8dkdo89 t ;ifri1;t hich 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 arusu1;0gfgbx aq 7/7ixound the vertical circle shown. Which arrow best indicates the direction of the objec u7xf0g7sib/a ;u1qx gt’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a string cou1u aqprl5jv- )nterclockwise in a horizontal circle above her head. The figure shows an outline of j51qlp -a ur)vthe 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-shaped path as show;zt + dth+k3hyn 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 Wto X+tzhy;3 +kd ht?

  08.35: Astronauts on the Moon perform an experiment d,- 2b:e i2w lx us gv.g8d6a0p0jikkvwith a simple pendulum that is released from the horizontal position at rest. At the moment shown in the diagram,gux.0v6d:a w vidp22k0 s -b gkjei8l 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 ob4 .uyd0e k lguwe7m eqd.0ibxzy;) j,9ject 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 tui9ye. k q. w;0ue 4el7b0u)mx ,gzdjydrntable 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 necessx9)*ivz i2m-zj0q tfrary to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal fri- iqm)*zfrt vj 9iz20xctionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetaujkgy-3m bmt3m+9 -;pw n :noil acceleration of an object (mass = 50 g) on the end ooybj 3m t3 -pngm-nuk+ ;:9wmif an 80-cm string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a horizonce(uh k/9y4 l, /n 4 tkwrlkoge4d(4yctal circular path of radius 0.8m with a constant kinetic energy of 128J. What is the magnitude of the net forcc4c4 (hlgee d l4,/n kot/r94wyu ykk(e acting on the mass as it moves?

  96.24: A 2.0-kg ball i..q -lp3-uhbzfjh cp- s attached to a 0.80 m string and whirled in a horizontal circle atj.-.qhb-pf-l u z hcp3 a 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 - lh 2w *bkm--f9rnivxof a rope, in a uniform circular motion. Which of the following statements is ir h2*--nwlv- 9 mkfxbNOT true?

  00.19: An astronaut in an orbiting spac *iu5:s gqoc)gp(b/ kme 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 uniforic g/m5k:(b*) qpusogm circular motion would be

  07.22: A mass m is puko q0d6x)c a4zlled outward until the string of length L to which it is attached makes a 90- degree angle with the verticaokcd 60q)xa 4zl. 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 traveling on a road in hilly ter-w0meuy c--4ja jwp(f:w z 6d, oj-auprain, see figure to the right. Assume the car has speed v and the topsp-yp0wwe: c j-u,m-jwj ofa 6(4zda-u and bottoms of the 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 consta5t ac kg15ble8nt 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 rad5etlgc81b ak5ius 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 at constant speed. The mag i*l 85fjs:vzwnitudelwz* s :ijf58v of the net force on the sphere

  11.47: A simple pendulum of length Lhasa point uf gd j2n+iy3h gl-1: udjvl(/*b0 : +xuqyyvimass 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 th-yu lx+gj* gdvdu3i+b/i y:2 y1lnqu v0:j hf(e 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 mj9ajmu5oqbs9y pv(: 2ki6)p simple pendulum. 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 f)p2 p956vs kji: buoayq9j m(morce acting on the mass (F) when the mass swings through its lowest point?

  04.41: A centripetal force of 5.0 newtons is applied to a w b4jkz +twxtl6o94,brubber 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, and the fbxkw+bt49toj 6 z ,4wlrequency f, of the stopper?

  05.28: A mass, M, is , i:yl2kx lm1v/+u yhm-v/rh mat 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 -lr y2//1hux+ vmmih ym,:kv lit 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 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 a ve2i-c,nap50d ipb rh 8wrtically-oriented circle of ribia2 cp85 w-r0dhp, nadius 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 coinsnr*4 dwwcj peb1c77d4 fx*uh2 (labeled X andY) are at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. The distance of the coinrxjd**724pc7nc e 4 wdbfw1hus 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 of4v5+f pdmzlm/zzp-.,+ zbttk string and moves about the string’s fixed end in a conical motion with a constant speemd plz .t-kv+ft+mb,p /zz4z 5d 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 in thef kxj9ssb bcl-qw6:) 12g qu+g figure. The s6wsfb:b)sq kcx+ g9j1gu2q -ltring to which the mass is 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 cm from a z;fpxdv6 75rb ix/sp0 horizontal disk’s center. The disk sx; xspfd z6i/75rv0 bptarts to 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 attached a distance R =1.75rw 7lh/ 4l8ij;d3/jlr yh9)0ybdlou d m from the fixed center of a disk as shown in the figure. The disk starts rotating from );0dihdhl j 3 wrl/9yrly8b7du/4 loj 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 35klkh2xrc9 z1/dfvw, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved crv l9 dkh1xk/ 2fzw5c3ounterclockwise 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 t* v a n59gd)0pr a3il2mksc3ctop, with initial speed 17.0 m/s. The object’s speed increases uniformly unti p5 t90acag)dm 3v3*sln r2kcil 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 time for this motion?

  17.38: A small 2.0 kg block rests at the bottom of a bucket. The buckz tubu+9joc x r.l6,3wet is spun in a ver6 bz u,rt.+c93wxjoultical 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 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.