95.02: An object shown in the accompanying figure moves in un o4yk4gf8z*ivcr:g(siform circular motion. Which arrow best depicts thy cfiz:s(okrgv 48 *g4e net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that r0:e8 xdsc wdxzn pq ba/e7*-z2otates counterclockwise at constant speed en:0*axzqd8/2pw e -b7sxczd 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 continunih w-rn8g. nikgy 8,/ously moves in a circular path at constant speed in a countehi88wnn- yi/. rg,nk gr- 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 spb7q 03q b.k7 qvsj93whlgvu* jeed in a cj l7 3ksqbw.gu vh* 0b73q9vjqounter- 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 acceleration during this time interval?

  15.07: An object moves clock*o+kx g2zmtd+; 6j msbwise with constant speed around the vertical circle shown. Which arrow best indicates the direction of*j6b+mzx2+;o mg dtks the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a strihg e:(fsg*a5 v)fz3 wvng counterclockwise in a horizontal circle above her head. The figure shows an outline of the mass’s path v *hf3za vsg5ew(:vf)g iewed 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 horsesid4ez1,m 5y ) vnnr-ev h*lz 75d9bygghoe-shaped path as shown with the arrows in the figure. Which one of the following choices best dyilgn5dv ezr-mg1*n5d7)e yh b,z4v9escribes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an experimenl b;xsg +(pg h7es*6rut with a simple pendulum that is released from the horizontal position at rest. At the momentrs6*+ pesgbug( 7lxh; 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 object rests 2.0m from the csn;j1azsd 94 jenter of a rough turntable as the turntable rotates. The period of the turntable's rotation is 5.0 seconds. The coefficient of kinet14 jand 9s;sjzic 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 necessary to keep a 1. 0 kg puck moa5z1 k; 1:yc guw0zeplj0x6 cnving in a circle of radius 0.5 m on a horizontal frictionless surfac00wkp yajg1c6znecz5 ; x1l:ue with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) on thegj n 1m f;q.+msfh+f-u3bcfb 4 end of an 80-cm string rotating g4sfh-.f;bbm3qn1j mfu+c+ f at a constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal circus der; vzk1j:/lar path of radius 0.8m with a constant kinetic energy of 128J. What is the magnitude of the net force acting on the ms /z:d j1vke;rass as it moves?

  96.24: A 2.0-kg ball is attached to a 0.80 m string anz7skdnyhp24h8 el q ,r9;s j;gd whirled in a horizontal circle atsld;4q8zj;92kh y ,g r7hsnep 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 of a rope, in a uniform circular ml( bi) oz6uld/otion. Which of the followingi/)6odb(luz l statements is NOT true?

  00.19: An astronaut in an orbi+b+ do1 rn lv/ (qtbpgsz(*7hiting space craft attaches a mass m to a string and whirls it (s i+q r/b*pb7d+ng vt(1o hlzaround 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 circular motion would be

  07.22: A mass m is pulled outward untit* /a;(m nb3kt;jbigil 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 tbt/g itk(n3jb;m *a;iension in the string when the mass swings through the bottom ofthe arc?

  94.15: A car is travel3xqzj:by - hu- jbo82ding on a road in hilly terrain, see figure to the right. Assume the car has speed v and the tops and bottoms of thex:38q d zy-2hbojb-j u 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 .y/qv n/w4bfh a constant 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 represents the magnitude of thvqwy f4b/ nh/.e upward force exerted by the road on the car?

  97.13: A small sphere is moving in a vertical circle at constant speed t5-ikzx x- dqek6m;w6. The magnitude of kdkm xeqz-i 6t5xw;6 -the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mas h ga6i(5wv/e*a xnw-ks 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 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 ahnwei a-vkg6/a(5w *x cting 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 ps v 78tu2qtwh1endulum. The mass is released from rest and undergoes simple harmonic motion. Which one of theu1s tqh tw782v 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 point?

  04.41: A centripetal force of 5.0 newto ngqn+pm,t/g2bu *ij5 ns is applied to a rubber stopper moving at a constant speed in a horizontal circle. If the+j, 5nqgt2ip bng*mu/ 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, conv/1tjvzvr mp 8fc:q1 3nected 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 doubc vfr3/p1jtmv:v1zq8led 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 mi q3 srklw cw5 4 ho)c*kb6p/8d(u3bom/s in a vertically-oriented circle of radius 0.75 m. What is the 6lodo3w/icmuh(*85kpb)wbc 4 s qr k3 net force acting on the mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (label 4z j8jsw()taked 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 coins from the center of disk is relajkt( azw84s j)ted 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 08k7:e ysdb19y+w7k tuz kbar the end of string and moves about the string’s fixed end in a conical motion with a constant speed of 4.0yks1987beazbdr wkt:+ku 07y 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 molvs5*2iu0p9 ubat ov*z5/x iztion as shown in the figure. The string to which the mass is attached has a length of L = 3.szv /b*552 tix9 ipuu0ao*lzv 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 1gxinwv /:tlp,i-ye 581.0g is at rest 30.0 cm from a horizontal disk’s center.x,e/p vl8tii:g-w y5n The disk starts 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. lv nb5-y,ucr(v1 j t.vdp k)ylc1z;+m75 m from the fixed center of a disk as shown in the figure. The disk starts rotating fr, c(vl5y-u +vl1brvzc);t1pk. m yjdnom 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 cinu *(0lo(m/d (ablmlvrcle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counte( nul(m/advm(lo l*0brclockwise 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 a7edy)bs;oq/ a circle, starting at the top, with initial speed 17.0 m/s. The object’s spo;yq)/s7e dabeed 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 time for this motion?

  17.38: A small 2.0 kg block rests at the bottn); 8b+bmq a4sv22pcz2t b fumom 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 place in the bucket. smqmfv +;b tb2c4 82a)npz2ub 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.