95.02: An object shown in the u8ubg.s; ,i t0fej-u uaccompanying figure moves in uniform circular motion. Which arrow best depteu f ,.i;u0bugs -uj8icts the net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockwise jqc,ow4)gz)1e spsr2 at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child by the seat and belt? ,gp42 q c zsr)j)sewo1

  08.14: A particle co0sw2i,yf7rq0 djmu +p(+zolt zt3fo nq67jc3ntinuously moves in a circular path at constant speed in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from point P to point jc,+ tjwi7qpd2(yz7 ful 0ostzn0 + m63ofr3qQ. 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 u3xm9r gveof60bq+ r:path at constant speed in a counter- clockwise direction. Consider a time interval during which the particle moveso0 f3x b9g qmr:erv+u6 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 veexvr6m th7e7 v7((ugsp 9ld k(uagm, 9rtical circle shown. Which arrow best indicates the direction of the obje( 7(sg dkhtmp76lum (u9,r7 axev9gev ct’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass cxcjd*7/wd :td:06 vrb yovc8m gqz;;g onnected to the end of a string counterclockwise in a horizontal circle above her head. The figure shows an outline of the mass’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 ;r bycdq8/jo;xwdcv:m 6*7d0v:tzgg go of the string?

  15.23: A car moves with constant speed aroxc tz dq8a8;gr,w,k2exjj :( ;/tctqcund a horseshoe-shaped path as shown with the arrows in the figure. Which one of the following choices best describes the direction of the ave ;j,a g cdq2j/rtw txczx8,(8q ec:kt;rage acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon c2ujj;vfk ws04y il5u6pw: u0 perform an experiment with a simple pendulum that is released from the horizontal position at rj lwwcfvk5pu :2jiuu64 0 sy0;est. 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 kga,x00ljd -da d) 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 turntadldjd0-a 0, axble 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 pu6u k-mt.oe d4 pwg)o5uck moving in a circle of radius 0.5 m on a horizontal frictionless su )-6ou.m4pkdg5 otwe urface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) 68fuku7w+cdsh5 9 kgcb/. j) jkx tqu7on the end of an 80-cm s6u8tgk7sk5 f7cju/ + 9)xdwcb hk j.qutring rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a horiz xwyj6.*-qxfzontal circular path of radius 0.8m with a constant kinetic energy of 128J. W.f *xw-6qyzxjhat 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 whirledqn1q ;7e/jdq ,b:gb ow 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 each revoluq1 ; o wqn:dg,j/e7qbbtion is:

  99.22: A child whirls a baj,ifoi8y ,x1d d, sqyiq xg0/:ll at the end of a rope, in a uniform circular motion. Which of th d8 ysj1q,,,x:y0x iqi/iofdge following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a masjd-ec i b96ptw;i:sxljo/+n: ,vgcc4 s 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, sjvct x- :cwnl,e:9jgo 64/;pbc+ idi 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 36 5hzf s9ieheqx(x+rstring of length L to which it is attached makes a 90- degree angle with t(i5efeh 6+ zrsqxh39xhe 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 the bottom ofthe arc?

  94.15: A car is traveling :imt1f p3h z zj.8:cjson 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 weiiz1.3p jsc 8: :tfhzmjghtless:

  17.10: A 2000 kg car moves over a hill at a constant speed of)fcf)y,kxi18c r :fmq 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 chk y8,i :f)qf)m cf1xcroices 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 at constant spee-mc x,dszy u8/mbawggx3wd8 :f w;.2 vd. The magnitude of, yw-.2m /zgdx;ws8d 8vu 3wxfgcbma: the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mass M relz f z::;eamj,fqzhw -0eased 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. Whi:j , a;fe-m0:zqzwfhzch 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 i2sfe5mhf 0z c sdr7 vz55vc.*hg2q+ m5geas8e s released from rest and undergoes simp h755.s*2 +fvccmzgv0e8 dsa2r qz5 gm5hefs ele 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 point?

  04.41: A centripetal force of 5.0 newtonj :mj+ gfk694tq(3d(c ffmpd)wq g3ons 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, cn(fmj f 4qm3p3) tqd(+gf wk:dj96o gand the frequency f, of the stopper?

  05.28: A mass, M, is at rest o s+zck wy+ j a32n8liuh*uwy:5n a frictionless surface, connected to an ideal horizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and holds it at this lzksu8a* 5ni+3whjuyl+2w yc:ocation 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 ver , v+o0l;ydgm-qw*ymutically-oriented circle of radius 0.75 m. What is the net force acting on w0q,o*;dvgyl -mm+u ythe mass when it is at the lowest point of the circle?

  14.23:Two small identical co-y w bc;rasj4,r dl*4fkq,)vpv d)6 plins (labeled 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 th,vr*k )y)l 4 slqp4bj pav,-;cwdfd6re 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 en32.jfxvagylq4pr)5k *qt++p28) m tckhlt jt d 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 2.50q) t2r l. jpj*apv+)lh5 xg yf8ct3qt4k2 mkt+ 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 cirgx;w)b+gd/7 t2dmf iw p72sxdcular motion as shown in the figure. The string to which the mass is attached hasfd/+2w7tixbddgxs2 ;wp7 )m g 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 at rest 30.0 cm from a horize3x,*es uk+cnav4:q syp tt 4;ontal disk’s center. Ttqt n:u+ ve *sa,p4 ycs;3xke4he 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 wif5yux1+i lc, d2i)o 8ytwir o-th mass M = 2.0 kg is attached a distance R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating18y52cil ydii,+o uftw)r- ox 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, st,t ds8z th2+hw9tq7c iarting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved countercloch tdct,tqhw9s+7z28ikwise 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, starting at the top, with initial s:zyrl,q ln1,xdr;im xd90 b1 fpeed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise thr f rn0:ddqi1;,ry1z xb,9 mxllough 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 s34 i ph9gp tio39bw;y/u,aa . yawaem*pun 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. When the bucket is aa tai/99y4p. ophyi,mugba*w;33e wat 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.