95.02: An object shown in t(bs d 7bqn, ;wl*o/ej3nhru-nhe accompanying figure moves in uniform circular motion. Which arrow best depicts the3qb(7rj*bw/ ,ndl- uhen;s no net force acting on the object at the instant shown?

  05.31: A child is belted ifl;5i +0cvsw wnto a Ferris Wheel seat that rotates counterclockwise at constanf swv;i +lw0c5t 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?

  08.14: A particle continuously moves in a circular path lh*p5jd76aor at constant speed in a counter- clockwise direction. Consider a timerj h *5po6ld7a 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 atpi4c 5 1bi95gd/ng 37fdyjme3r hblq9 constant speed in a counter- clockwise direction. Considerr3 i c97ldbhy/ g45d5jq3bnipmgf 1e9 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 clockwise with constant speed around the vertica xhfu40zx*0qol circle shown. Which arrow best indicateu 4xf0qh* zo0xs the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass ifmxf2-v :8ps connected 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 poi82mi v f-:fsxpnt on the path should she let go of the string?

  15.23: A car moves with constant speed around a horseshoe-shaped path as s bj)3 f5-edl bef*rzl;hown with the arrows in the figure. Which one of the following choices best describes the direction of the average acceleration of the car in travelin3d* lz;)ebfb f5ler-jg from Wto X?

  08.35: Astronauts on k8a1c l3jhtas.qla,s 0jw5/wthe Moon perform an experiment with a simple pendulum that is released from the horizontal position at rest. At the moment shown in the diag/q3ajaa1h sj508twwc,k l l.sram 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 r m/a pht06.ih:p9aa3xlu 2p wwests 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 turntable is 0.50, while the coefficient of static friction is 0.80. What is the magnitude of the force of frict0xp p2 pha.mil36:u/ awhtw9aion acting on the object?

  07.19: What net force is necessary to keep a 1. 0 kg puck moving indadxex(9 s)m (16jczd a circle of radius 0.5 m on a horizontal exdza (ms6 j )(xdd91cfrictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acce blg+3e)mmjd)2by zss6sn.: oleration of an object (mass = 50 g) on the end of an 80-cm string rotating at a constant rate ofs 6s2oyl) jbm:b.n dsm)+gze3 4 times a second?

  09.24: A point mass moves along a horizontal circular pathw mj+xvs l+vg,6. bv*tp98ran of radius 0.8m with a constant kinetic energy of 128J. What is thexmv 6.*9vajb,+w nt+g sp lrv8 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 whirl-op(rq u2z8ko;9gwglq )d y+pvd* i1ned in a horizontal circle at a constant speed of 6.0 m/s. See figure to the riirqop kd2 uwo z8l qg*9gp+y ;v1)n-d(ght. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at the e+hb,pk0:yqbuxtr d 36 duj-c; nd of a rope, in a uniform circular motion. Which of the following statements is Ndbrpq :-3d6b uy+;jhu ,kt0 xcOT true?

  00.19: An astronaut in an orbiting space craft attachgkn)b8nacar0 w8g*-lxm ;aj 5es a mass m to a string and whirls it a0n bnm cka w8jg8*ag-x5;l ar)round 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 our)bx3*dpx6s e tward until 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 )x3 rpes bx6d*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 righth* 7ual--*t+nicpcsw. Assume the car has speed v and the tops and bottoms of-cus7 *a lp n+tcw-i*h the 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 a constant speed ofe(fpzuu p8 t/3y+bxts*s9 wh/ 12.0 m/s. At the very top of the hill, the shape of the rob+8tps e3/zut/fu9*y sw hp(xad 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 the upward force exerted by the road on the car?

  97.13: A small sphere is moving in a vertical circle at cepsn uo/, x e/)pvws)m;y za3p3yp7t *onstant speed. The magnitude )/,nm7wzxspy pvu3as) *eo/ppe t3;y of the net force on the sphere

  11.47: A simple pendulumrfmz 8vh5 7*5 ,dzjx*tgjuf; b of length Lhasa point mass 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 acting on the mass. Which one of the following choices describesbtr875 jgzdff*vmx , hz;5j*u 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 iqfcw d q+;bf.p 1y)9nns released from rest and undergoes simple 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 poinc fqfbw1.n qdny9)+p ;t?

  04.41: A centripetal force of 5.0 newovl o940jfallzl2gdk()qh6 - 0l,q e gtons 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 smallerdhe,z9()j0- 4lo qkl 2glo6a0vl fgql, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a f6c abwqv;fm,98og; k6agr/qx rictionless surface, connected 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 doubled to 2M. If the spring is extended bac;;6 ,9ofcqkx/b86avr ggqmawk 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 cl+s j*l.mm3nqzvm1sn m)( 3lponstant speed of 3.24 m/s in a vertically-oriented circle of radius 0.75 m. What is the net force acting on thz l(ln*3 mv)lmnj.3 mqsspm+1e mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) are at restonqti5vjt;3+e( fai:sh qzxac,a r(j(0 6eq(zz a horizontal disk rotating at a constant rate about an axis perpendicular to the plax;zt35fe(jtqi+zvrcs (eia, aq 6a0 :j h(q (zne 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 connect6c/miahwzbfd/*-+ dz ed to the end 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 2.50 m and forms an angle oi-d+fmw /bd cza* h/z6f $θ$ with the vertical. What is the tension in the string?

  17.26: A 4.00 kg mass is in uniform circulg qal3/)n)-o: flekl lz)yw2var motion as shown in the figure. The string to which the mass is attached has a length v)fq n2y/oelg)wlak3l l:z-)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 horizontala lsohm,2d g.// 7xopuq09af :hgn *kp disk’s center. The disk starts to rotate from rest about its center with a cf7h on mku9d.p/saqlogh0x *:ga ,/p2 onstant 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 masst ke8wxw6oa :dcexv8*3sv9e y2w:4yz 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 rotatiw v8o dew tkc4exw236e:xy*:avsy 8 9zng 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 si fm2o3 aqa,e0 ede)l3co s-6jpeed 17.0 m/s. The object’s speed increase2olq 3c6 sae afem),3e jido0-s 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 final speed of the object?

  16.40: An object moves intr sdz1bf ia1pni 5989 a circle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has mov 9nst5p189i1 f idzarbed 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 theegu kx5 .g:538:duhaktr8 n zx bottom 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 bk3g n:r. :hu g8d5z8extka5xu ucket. 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.