95.02: An object shown in the accompanying figure moves in uniform circulavw46qeji;pw ( r motion. Which aip qe(4jww6;vrrow best depicts the net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that roymh)m0g/v 2k( ywx md5.t( qhfur1mh.tates counterclockwise at constant speed at an amusement park. At the location shown, which direction b12)qu ( . xr(vy 0m.thdmmmg f5/hwkyhest represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuously moves in a circular path at constant spbcu2kpt.w 5;v 4n36uqks 8tut eed in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from point P to point Q.uunckwsq p6ttv 85k;u4 tb23 . 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 c q4.fmu.0d/ l7a(pcwjw 4mrnnircular path at constant speed in a counter- clockwise direction. Consider a time ian44.0cmqpf w/ 7. j(r wudnlmnterval 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 o2n5 (liu7 yihb )m2jv+qk -jvou+n/ewise with constant speed around the vertical circle shown. Which arrow best i +kn b(myivnhj+2qoev u)u2- i5o/l7jndicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected tyf4vc m3u 8uggg6p..no 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 pc g. m f6unpg.84y3gvuoint 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 conxrq)e, ,/) fbjjc0eu z9vnc6jstant speed around a horseshoe-shaped path as shown with the arrows in the figure. Which one of the follcqr e ,j0e6u,b/ j)zj9vcfxn)owing choices best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform a( 7qskq7f90ndae oop9n experiment with a simple pendulum that is released from the horizo9pqsq(0ena 97f7k odontal position at rest. 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 kg) point-likemn8:l x3xhjx df *aiw l(6ya.a6r2x kbze3s.9 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 frictix.39xryhaex a*zxns:2 d6lkb3j8i6 wma( l.f on 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 tovx, 2w-dsw(dak1ulm: keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a hordkl(vd-um1w a wx2 s:,izontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 hb lk 5 7bz1q cg7m331s1tcwd-ggvp1f g) on the end of an 80-cm string rotating at a constant rate of 4 tg 1wt d sg 3-715g3vhq 7zlmccbbp1fk1imes a second?

  09.24: A point mass mbbh ir pr) 1:ez8oghebm /d(cyh+8z; x7n-e4 ooves along a horizontal circular path of radius 0.8m with a constant kinetic energy of 128J. What is the mapnee ho/b8bhdr( zh4; me:cox78rb1iz) + gy-gnitude of the net force acting on the mass as it moves?

  96.24: A 2.0-kg ball is attacer:xu00i,sh cgj9dv 0oe lw.+hed to a 0.80 m string and whirled in a horizontal circle at a constant speed of 6.0 m/s. Sed e9hr isce0.0ux og0:lwv+j,e figure to the right. The work done on the ball during each revolution is:

  99.22: A child whirls a ba4p,hd,y7kg3kw 7op -vrb nedv7b mx:8 ll at the end of a rope, in a uniform circular motion. W7np ek4hyb78 gbw 7p:vxrd3,-, vdmok hich of the following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to a st 3ibcl4zq83h xring and whirls it around in uniform circular motion. The radius of the circle is r, the speed of the mass is v, and the tension 8 xz4hcbliq33 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 te j 3hbu.f t:2lzaw-v9lr-wl -+u kq*lhe string of length L to which it is attached makes a 90- degree angle with the vertical. The mass is r l.fu*-el hlkatq 93v:b wj+-wu2l-zreleased 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 on a road in hilly terrain, see figure to the rids .fd/6/n /xzasjnc7ght. 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 wefdcaj//x/ 6. ssn7z dnightless:

  17.10: A 2000 kg car moves over a hill at a couen5(yg5,khm 4a sad*nstant 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 radgd4meny 5, 5(s*hak uaius 25 m, as indicated in the figure. Which one 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 at constant speed. T6 9cl sap7ank+he magnitude of the net force on97+6pnkl sc aa the sphere

  11.47: A simple pendulum of length Lhasa point mass M m;rxo1hixqw oepr z1 *;z*,q4released 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, qpmqxe* ;;i4xo1 oz1r*zrw h 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 for;x tcxlqv (w+-rd(2 qums a simple pendulum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly -dqv t( xlc q+u(r2wx;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 newtons is applied to a rubber stoppn0jcqbo6o) f8 er 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 frequency f, of the stbf q)c08o6jn oopper?

  05.28: A mass, M, isjt 7 r 5q:m6ic+ord)2vavh1in at rest on a frictionless surface, connected to an ideal horizontal spring that is upstretched. A person extends the spring 30 cm from equilibrium and holds1jr) r76 to2mn qic ad+hvvi:5 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 3.24h 5c,h/ (ku+) zhznxxv m/s in a vertically-oriented circle of radius 0.75 m. What is the , nxuh+h5z z (xhvk)c/net force acting on the mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (59ceof 5xl xfyt+mz/*labeled X andY) are at reston a horizontal disk rotating at a consto+l5cz9/t*eyxf5 f xmant 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 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 about the stri);1(d wu lii;(md bw idw 0jyje,7(ocing’j iyw0 ; ddib(w(mw li()eo1u,;7ijdcs 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 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 shownkx 6 l6duec-ps0ok f/ u(27nkk in the figure. The string to which the mass is attached has a length of L = 3.00 m and form72lk p kcnu0of(/xk6d us6k-es 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 h: 0hkva,1,hhy zlba *vn.mt7 h+jgp(,w u 8zqoorizontal disk’s center. The disk startskgybtu.ojv 70 + wh,na:8lp h,zah(mz*hv1,q 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 rru,(4dwg xj1 5yr7 vqkg is attached a distance R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating from rest with constant angular accelerationd rw4gr1rxq,(5 7 ujyv $α =5.00 rad/s^{2}$ 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 spee. m agm hvv3x)7v+k.vxux1j*xmt c:a .3a j3nzd 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwisejkm 1h. z:cxxg3vx3+vm3av) x.v7t.m* au ajn 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 i rmc d69bx2dc5zzd- z;x1u 8tx2dv2annitial speed 17.0 m/s. The object’s speed increases uniformly untilz8;221r d u6 dtvxzx xm 95z-nadccdb2 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. Th ;s):qie0y ustua20h h+av 8knhlq(*he 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. When the bucket ;h8u t hqska :u +(0vq2i*ne 0hsa)hlyis 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.