95.02: An object shown in the accompanyingt hi8ctb2r7wasa 1wpcgea5+g+r6+ :s figure moves in uniform circular motion. Which arrow best depicts the net force acting on ag+ist+srwwt18ac bc 756e2hp+ ga: r the object at the instant shown?

  05.31: A child is belted into a Ferris Whet.y g 1e ph;t12jgczm.x(/vghel seat that rotates counterclockwise at constant spey jgx.mz;/htv 1 ph2ge1 (.gtced at an amusement park. 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 mle ak7g(q 1i1cs7xw 5moves in a circular path at constant speed in a counter- clockwise direction. Consider a time interval during which the parti(7lxme5k 7cqwi 1 ga1scle 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 in anp )pv*q.cl+ce * xo67gson .t 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 Point .tpe.+ gc)cs*oo pn7* x nv6qlP.
What is the direction of the average acceleration during this time interval?

  15.07: An object moves clockwise with constant spe6-s ddxuu40 ak a)x.xjed around the vertical circle shown. Which arrow best indicates the direction ua0x4)a-xx ud.k6j dsof the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls 8q c q7//k)rp5ik*cayulck )k a small 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 pku)k q75 k8*a/yccpc)irklq /ath 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-shape-(hiylswi;e 0 d path as shown with the arr ;ii0helw (sy-ows 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?

  08.35: Astronauts on the Moon perform an experiment wity zpm+ta:c ;3huf75rqh a simple pendulum that is released from the hori5fp3yz:7 r;a t+uhqcmzontal position 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 kwy1gz 9 3dx .e bz9j/y 5nq20f/wyrpsvg) point-like 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 091qyx0n3. 2zysz/gvwjywbd5 f/pr9e .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 puntdm9p0a21 it t 6wj)k qg9bi)ck moving in a circle of radius 0.5 m on a horizontal frictionless6ka)d9 j1w0ttip29nm ig)bqt surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (ma*kh6ty) vq 1ikss = 50 g) on the end of an 80-cm string rotating at a constant rate of 4 times a seco)q h16t*vk kiynd?

  09.24: A point mass moveshq j+xm;u*v c3 m+a5( 1c wlxs;whmfs( along a horizontal circular path of radius 0.8m with a5wl qs+x mc+h;x*;1 jmmu(sc3afh(vw constant 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 attached to a 0.80 m string and whirled in a horizontal g4gn2t 1 75lg blcun1hcircle at a constant speed of 6.0 m/s. Seegt 57n clnbuh g12l4g1 figure to the right. The work done on the ball during each revolution is:

  99.22: A child whirls a b y m+dy0i(u 9evf-.bsa)mv7jqall at the end of a rope, in a uniform circular motion. Which of the f vmjayq+)fm -ys0d ue.vi 79b(ollowing statements is NOT true?

  00.19: An astronaut in an orbiting szz,h a y6a6f,5s9hyuhpace 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 9,,y56hsfua h6az yh zto maintain uniform circular motion would be

  07.22: A mass m is pulled outward u 2xmb, j:p eg sn)2xg.;-veegzntil 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 swing:bz2n s;e2g.xegmge) p v,xj- s 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 terrain, see fik4..kf .ffrdnsr v7u5p 3 ita.gure 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 most likely to feel weightless:.kkf74s .nv .aprf 3df.iur5t

  17.10: A 2000 kg car moves over a hill at a constant s h k/98n,tfw:zs g/w+ fldle)nio 7yc;j/a xm5peed 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 7an,m+ ;octw:)d/w hsy ixfe5zj8gnlk9 //l fof the upward force exerted by the road on the car?

  97.13: A small sphere is moving in a vertical circle at constant spgq69 x dvz22ubeed. The magnitude of the ne2u2vxq69zdg bt force on the sphere

  11.47: A simple pendulum of length Lhasa poiykhwfdqife yz 4o29: ) d5es p1tk2m 9*ka;-zhnt 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 T2 4 eh)1kf-qf9tym;dh9* 5isk2 zzepod wyka: 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 siu1dl .x6gcg 3q0ns - nwsq7tq:mple pendulum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranks the magnitude of c -3xglwg6qq nts1:7s q0d.n uthe 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 ;cqg0aa;p . 1,zetmfv5.0 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 m,aetp;a q1zf . ;g0vcmade smaller, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionlephw3 jc2 5hwrpj )*,awss 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 rp*w )c 2p3h5j, ahwjwback 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.w797e p vh7lu./uv h zrf;)ziiqwa. j90 kg mass with a constant speed of 3.24 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 point of . vua 9i7.j9e)hh;f/qiwupz w lz7rv7 the circle?

  14.23:Two small identical coins (labehyq /9rr3ns( by3*nel led X andY) are at reston a horizontal disk*3 9/rnyb(senrlh3yq rotating 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 string and moves about the str5 uw quz(js33uf :n+f/rwdcd 7.; dwzning’s fixed end in a conical motion with a constant speed of 4.0 m/s. The string hasjs.ddwn+wdrf w5uqu3c/( zz :3fnu7; 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 motiocq.*j8 vpqzc1b n8s: cn as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m ansjpq*c8b:z q 8 nc.c1vd 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.n y8q aa.6e f.q5f(ljk0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a c q(e.5n. 6 fy8aalfkqjonstant 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 distanc;hn 6dk6/u )e6gkjlre) v0 nnhe R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating from rest with er/h g6knn v0nulj6he); )d6kconstant 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 speed v(tw0 xkhlas:, / -gdnqs5p p*17.0 mh5kgsapx-s0 ,:n /*tdpq(lvw /s. The object’s speed increases uniformly until 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 final speed of the object?

  16.40: An object moves in a circle, startinlqx)- 6 hdhb4bg at the top, with initial speed 17.0 m/s. The object’s speed increases unif4bd hl6 -bq)hxormly until 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 botduk2m2g db(2qtom 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, it moves just fast enough for the block to remain in placek2mq2bd 2dg(u 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.