95.02: An object shown in the accompanying fig,,ozsoztr; 3 nure moves in uniform circular motion. Which arrow best depicts the net force actino orz,z3 ,t;sng on the object at the instant shown?

  05.31: A child is belted into a F,)ur kxsa,:.zj f.2vkwy 3grjcc4) ocerris Wheel seat that rotates counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total fo) vckaj:y ) 2,,x.k o r3wsfgj.zcc4urrce exerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular path at constant speed in.4kn0bung(we3:h-fj9p9hh; n+y s dbpqt- ec a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from point P to point 4ctfhb9 yp n3jqbhd-n0esg(w h: ;e+. nukp9-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 o4 pn5igj uxbdm6,s; d2(xuv 7at constant speed in a counter- clockwise direction. Consider a time interval during which the part puxgi5 njs;bd du6x,( o42v7micle 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 around the verticalt;03 wxiqknsdf-,6 u:: f tlyx circle shown. Which arrow best indicates the directid,syn;6 :f3ft tuw-0: lkxxiqon of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a3u+8fi :xiyp mmrwy, ( string counterclockwise in a horizontal circle above her head. The figure shows an outline of the maw+y8 :,u xypimim(f3rss’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 ho1k3bgp,rny5ek-8w+ m1n w5 ah ujer2o rseshoe-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 cargwnp13ymu8bojwrk,ak 1rn52-h ee + 5 in traveling from Wto X?

  08.35: Astronauts on the Moon perform an experiment with a simj tu )fz4i;+enple pendulum that is released from the horizontal position at rest. At the moment sui j;)+t fen4zhown 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 object rests 2.0m frxqrdbz 1:c*ldgyk 0z,28bl :aom 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 08 lql1:,c0zdb 2 ag*ykxbz:dr.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 puck moving in a circle i,fi;og2/e8 wy s s3ihof radius 0.5 m on a horizontal frictionless surface with a sp 2o/si3yih ,8sig;w efeed of 2.0 m/s?

  05.03: What is the centripetal accexi6md0a7q2 n6 ioozr-b;cw x /leration of an object (mass = 50 g) on the end of an 80zc2d6a x;7bo/i60nxmwqoi -r -cm string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves alontg23buf;1d *d8vsfou9 m;mer g a horizontal circular path of radius 0.8m with a constant kinetic energy of 12dbg 32 *e1;9 osmu;8ftdfrvmu 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 to a 0.8m bliz-02kop f,i)nz40 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 bal z)k0pimn 4,-zbolf i2l during each revolution is:

  99.22: A child whirls a balqhh31fqkth( 7 d6 wer9mz/c2nl at the end of a rope, in a uniform circular motion. Whicc9 wz 3nmkq h2 fh71q(t6dh/reh of the following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to k25.7 vjhif r+h+ug ona string and whirls it around in unifor g7u5vhj+ h.f+io 2nkrm 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 lengio zrrf2-.gx(p3mp 2su1vb i(th 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 tension in the string when the mass swings through thmbsr zgr2xvuf- p2. p i(13(oie bottom ofthe arc?

  94.15: A car is travkl ,e6 o-idmqy1.mj, zeling 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 is most likely to feel weight-mj mz6,i oqel,d. 1kyless:

  17.10: A 2000 kg car moves over a hill at a cg +zx+ q7rp/vjonstant 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 radius 25 m, as indicated in the figure. Which one of the following choices best rep +jvz/q7xg+rpresents the magnitude of the upward force exerted by the road on the car?

  97.13: A small sphere c vy/6.nupvp5 is moving in a vertical circle at constant speed. The magnitude of the net force on the spherey .pv5p6uv c/n

  11.47: A simple pendulum of length Lhasa point mass M released from rc t 7c7ab8ao.an;r)omw,n9 vsq1n d k6est 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 rw7sa,n k )c98;16btocannq. m od7rvaelationship 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 pendulum.3lnsr4giq9d jdg* izu6, mfrt 4m0p 7. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranks the magnii3q g.rz 9d6sjp7mgrd f0,li *t4m 4untude 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 force of 5.0 newtons( r iuab0du 91t/o/jri 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 made smaller, what happens to the speed v, and the freque0r/1 dirto9bu/ ij u(ancy f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connected toju-kfid ,0w l.yht7- o an ideal horizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and lo kh-d .,iy07ufj t-wholds 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, 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 iku7+0m2 cuw.9sq1cbrg5 av zy n a vertically-oriented circle of radius 0.75 m. What is the net force acting on the mass wheavz0g rck2m sc+b9517uyq.wun it is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) are atnva4htt14rpq )x q;v5sjy :/ b 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 c/ )4 1tabp5svqv;n4y rjhq:t xoins 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 en,bzzax gl 099 f6sq6uid of string and moves about the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. The strin6 9baig ,lfz0zu6x s9qg 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 tfr oqql ()0i*10qjqlfhe figure. The string to which the mass is aj* qrqf(oi1l qfl 0q)0ttached 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 at9xlunck yt163 rest 30.0 cm from a horizontal disk’s center. The disk st9 uxc63t1ky nlarts 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 nm sjh,p d-6t8mer67ga distance R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating from rest with conhtrp 76 -mg8sed6n ,mjstant 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, wi1eoy wzh36s5 a/f4 artth initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwiseet5r3z h/fwsay41 6oa 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 xk5k0i h 9gck(lqi:l+circle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an +:kqki5kxhlcg0i(9 l 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 8.sc1i;5x: h f/ hjcxb-gc zck8cnto1spun in a vertical circle of radx588x; 1j- h/cfcbsongh:c.ztk1cci ius 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.