95.02: An object shown in tyxb67cr a d-k61+ qhuku2m 9qzhe accompanying figure moves in uniform circular motion. Which arrow best 6 q6m7xu1zu9bdk+ kr-qay ch 2depicts the net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockwisevm 2ovkku6j 7i;l vwxn0 d6nz8za, xwr 3n*6m, at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child by the n,26dxujxmz w 0v7;86r3ko6 vwv*lknmanz,i seat and belt?

  08.14: A particle continuously moves in a circular path at constant speeul3qsls5t o8*wkkl-p 7h e5o- d in a 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 thee* tp l -lhus wqo5ok85k7-l3s circle from Point P.
What is the direction of the average velocity during this time interval?

  08.15: A particle continuously move; 1d twz+f8)tqf44h jvlb ny-qs in a circular path at constant speed in a counter- clockwise direction. Consider a time interval during which the particlef4l bjqwn)-t 1tf ;y8qh4+dzv 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 cloh 9h b6;111dthwryzgm ckwise with constant speed around the vertical circle shown. Which arrow best indicates the direction of the object’s instantaneous dbty1w hhg ;m1r hz916
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a string counterclock7-f;sxc*ybm h+an(qcsu+fz 8 oahu;.sg i* :mwise in a horizontal circle above her head. The figure shows an outline of the massx-ssf. *f7 iu ;qh8g* s( yo+m:ba ;nmu+ccazh’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 colv/mx38 ,y.x6fivmz)6cab t n nstant speed around a horseshoe-shaped path as shown with the arrows in tca,fv3 6y6x.t v)mbimx 8z/n lhe 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 with a simple penb mat*x./6hgq3ei- aye+n1j mdulum that is released from the horizontal position at rest. At theqg /m1ei3bya6 x.m* ah +-tejn 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 ob6; qzwiho qy.a2kh35 mject rests 2.0m from the center of a rough turntable as the turntable rotates. The period of the turntable'swh ;h6kz2.35o y qimaq 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 necen) xpp/e n 5:6ceakp2assary to keep a 1. 0 kg puck moving in a circle of radius 0.5 m p e/)xce5apnn:2kpa6 on a horizontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceln coi 3ovgm,/+eration of an object (mass = 50 g) on the end of an 80-cm string rotating at a constan+,3cv io ognm/t rate of 4 times a second?

  09.24: A point mass moves along a i5 nahi 9j/zeqsz h6q/ 33,zrshorizontal circular path of radius 0.8m with a constant kinetic energy of 128J. What is thehqzh3r,ssa 5z j9ii e/q n6/3z magnitude of the net force acting on the mass as it moves?

  96.24: A 2.0-kg ball0 om: x)o; nln:jcqm2bca3 f7d is attached to a 0.80 m string and whirled in a horizontal circle at a constant speed of 6.0 m/s. See figure to m:a7:c n2d ;xofcn l0mo3qjb) 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,)gjy 7t,cjz+ bc+e2dp in a uniform circular motion. Which of th ycejd2pc z+t,gb +j7)e following statements is NOT true?

  00.19: An astronaut rqy26,;axjl8 d(b ajj in an orbiting space 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 j b8a 2jyjdx;lqa,6(ris 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 untioi 3 juh+.qhqt e(52mol 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 thmi 3q2.te(h hqoo+5uje 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, s4za 5lz+8qc rhee figure to the right. Assume the car has speed v and the tops and bott84hlz+ a5rqc zoms 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 movejvj1 mb+ ft 09oa67zpws over a hill at 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 magn9z j o a+07bf6wtvp1jmitude of the upward force exerted by the road on the car?

  97.13: A small spherx 8swpfga q9z d;kh38y (7dpy6lpggb g(pe(4*e is moving in a vertical circle at constant speed. The magnitude of the net ford 3d9g 8(g;hgpxy* a7wpkfzgb eqy 6(p8l4(spce on the sphere

  11.47: A simple pendulum of length Lhasa point mass2v0jhvsp( w8 n M released from rest from the horizontal position shown. In the absence of air resistance and friction, the mass swings thwsv(np h8j v20rough 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 bottom of the arc (point P)?

  16.32: A mass connected to a string forms a simple pendulum. The mass is releek xp-.e+lh:dam5sts0y5u3uased from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranks the magnitude of sa+u mel50yepdh kx. 5-t :3usthe 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 is applied to a rubber d 62z3gf,ik *q6w9 jseiy/kurg se;n;stopper moving at a constant speed in a horizontal circle. If the same force is applied, but the radius is made smaller, what happen ;,zgkk*;ej q n3irse96sg 6i2dy fuw/s to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at re4pin./k6 f6kgyx5 oo5 8 zejdx ,noxo(st on a frictionless surface, connected to an ideal horizontann4jk5xf,xyx56i8 .p 6oo z(k od g/oel 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 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 ven*. rmbw-o4o2rlw wr- why) l3rtically-oriented circle of radius 0.7)hr. w *lww-yw2m orbon34 l-r5 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 coins (labeled X andY) are at r+5zdsiic 5cqr23 o -rneston a horizontal disk rotating at a constant rate 2c- 5q3+s rozi inr5cdabout 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 -mhhofnj w0.7e. 0v2gc) enkeabout the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. The string has a length 0w-)o.0hhvk een.7m fgn2 jceof 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 unidf3u s6pjh 15ubyzl+1form circular motion as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m and forms an angle hlfp+ds 5yu zb13 61juof $θ=50^{\circ}$with the vertical. What is the speed of the mass?

  13.23: A small object of mass 11.0g is at rest 30.dcc,thk/* wms2 f..nqeqkf( : 0 cm from a horizontal disk’s center. The disk starts to rotate from fnq q w2k ( cf:m.k*dh,/tse.crest 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 n*wy9jy6a5dnqd 1msmtt.d) d6 pv1 p/= 2.0 kg is attached a distance R =1.75 m from the fixed center of a dpsnyq661n.wv/t d1 m)t*d9jamp 5yddisk as shown in the figure. The disk starts rotating from 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, with initial spsz*)r hlw p4*y ry10jneed 17.0 m/s. The object’s speed increases j4yw*s p )yzh*lnr 01runiformly 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, startinkz ds.u dq*)ku0qx l18g at the top, with initial speed 17.0 m/s. The object’s speed incre lux* kqkqs1 dzd0)u8.ases 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 bottom of a bucket. The bucket is spun - mi( yj m h.m:)j7pmp/nvo+jhin 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 plac -jmh7i/:.mv pn+myhpoj j)m(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.