95.02: An object shown in the accompanying figure moves in uniform ciz,bdw kz6q;( urcular motion. Which arrow bz6uqb( w,k ;zdest depicts the net force acting on the object at the instant shown?

  05.31: A child is belted into (d + t) ocicc5u*cm5nv0sda, ka Ferris Wheel seat that rotates counterclockwise at constant speed at an amusement park. At the location showic,c 5*s nu5ct)0adko( +mvcd n, 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 c3r;ro 7/ajsfy hsy ;g-uhz1-+ p7y hxgonstant speed in a counter- clockwise direction. Consider a time interval during which the particle zsosgg/ha1y-; x fh uy+rj7rp7y ;h3-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 sus1mxg pek)-/peed in a counter- clockwise direction. Consider a time interp 1) ke-ums/gxval 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 acceleration during this time interval?

  15.07: An object moves clockwise with constant speed ar:ffjd(, gcij ;ound the vertical circle shown. Which arrow besij cf,d;(:fjg t indicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a smalan jda fkv4;tepd32)83 x 2hbml 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 viewedfk;bpmxdd 28)43v2aahe j nt3 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 5j.rza bw(v8 fpath as shown with the arrows in the figure. Which one of the following choices best describes the direction of the average acc .f (vjb8zwra5eleration of the car in traveling from Wto X?

  08.35: Astronauts on the /kqq-f z*8/z(;o cf*lwlw cac Moon perform an experiment with a simple pendulum that is released from the horizontal position at rest. At thol*lzzcc /kf(q ;wc*q /8f-awe 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 obje i.tk4v,yp.k;e:ll:p gw g7xmct rests 2.0m from the center of a rough turntable as the turntable rotates. The period of the turnt;l,kpw4:mi e ptx:.gkyg .lv7able'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 friction acting on the object?

  07.19: What net force is nec m9 6z6dw gdz**wzem.nessary to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frictionless zd wmn9zmd w. 6*z*g6esurface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of 3-;w-n k0uzbj)rpjn zan object (mass = 50 g) on the end of an 80-cm string rotating at a constant rate of ujw-);nzkn0j3 -rz b p4 times a second?

  09.24: A point mass f)ve g,;z oa ,;gqnxl;0swp3rmoves along a horizontal circular path of radius 0.8m with a constant kinetic energy of 12gzxpr;;len 3svf)wgaq ,0, ;o 8J. What is the magnitude of the net force acting on the mass as it moves?

  96.24: A 2.0-kg ball is attached t wp(k*ix iemlv432z2 io 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 x2*peii 2wv3 4(zm ilkeach revolution is:

  99.22: A child whirls a ball at the end o kr(;2:7kfp; ,w9ahgy au yqkif a rope, in a uniform circular motion. Which or(k;ihypf97:g awu;k2q kya , f the following statements is NOT true?

  00.19: An astronaut in anbsli,24px8s fjv3i5i orbiting space craft attaches a mass m to a string and whirls it around in uniforl3,isiv5sfj4b2 8xp i m 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 oux/t1wf )dc* 4bxlk em0tward 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 circull0c)x 4/dxkf1eb* wtmar arc. What is the tension in the string when the mass swings through the bottom ofthe arc?

  94.15: A car is traveli9phdorjf0u4sjnq /i:c 7 ()e )ooa 1frzqv.- jng on a road in hilly terrain, see figure to the right. Assume the car has speed v qe. j-ou1 r/vfn7jaj 9rscpoq:of 4))zhi0d(and the tops 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 constant s3ibi6 45emggqpeed 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 one6b 4qii5e3 ggm 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 ; 1vs-,h 8drvit8ohgjco 9:h bat constant speed. The magnitude of -d8h o tv;:v81 bihgohjrs 9c,the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mass M releaszy9nm zym7x 86io) 5keed 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 7y 6z98mnk5xoei ym)z bottom of the arc (point P)?

  16.32: A mass connected to a string forms a simple pendulum. The bs g0q cm-nf989d;v6(ab z gtsru92 usmass 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 acting on the mass (F) when the mass swings through its lowest po b2su9ggdazm9st6uf q8-; vc9 nrs0b(int?

  04.41: A centripetal force of 5.0 newtons is applied to a rubber stoppgy )hy -,dr4t92u caqxer moving at a constant speed in a horizontal circl trha,dx-92) g cqyy4ue. 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 frictionless surface, connu67z yt81qwc lr q ai::k;kd(yected 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 andkw d76ryluct z1:i ;y8(a: qqk 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 constant9o1 a -cjgry,t speed of 3.24 m/s in a vertically-oriented circle of radius 0.7jg,y c19tor -a5 m. What is the net force acting on the mass when it is at the lowest point of the circle?

  14.23:Two small identibm* kkcwvklou(5 -p 09cal coins (labeled X andY) are at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the pl 0w ok*v5ul p(9kck-bmane 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 q ;g7)zn/1 p;z-kwv bd5qfd2zd*mfgv is connected to the end of string and 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 m and forms an angle o72z;kp-q*;q/mdd 1vg v wfn5gzb z)fdf $θ$ with the vertical. What is the tension in the string?

  17.26: A 4.00 kg mass is in uniform c,4l2u j9kn-pupvqmu ;th6/ uxircular motion as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m and 2;,lt9mvpukh4/u j6npu- u qxforms an angle of $θ=50^{\circ}$with the vertical. What is the speed of the mass?

  13.23: A small object of maskqvuqkp86 3o+s 11.0g is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its 3uo 6qkp 8kv+qcenter 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 =1.75 m fz p.pw8kjd ykv7z z o0b20 ncnf2;w0*urom the fixed center of a disk as shown in the figure. The disk starts rotating from rest wij0vbp0 n .ckzu*o0zw 87 p;2nkfwd y2zth 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, startin1q7lfcey 2:w hg at the top, with initial speed 17.0 m/s. c 7yhfew:ql 12The 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 o ij vm-9l-qdei6i ,o1)+ytzpaysnx 7lv 0 u;+a circle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved countervmtz9ela ii)s1++j6 ul ;o- -yo,i0qvx d nyp7clockwise 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 bo8u ksrn ww,cd3k12y- ucket 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 plac23ro1s8,kk-wuy nwd c e 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.