95.02: An object shown in the accompanyife.otm7c qwaoqy;38 bg0.d,vng figure moves in uniform circular motion. Which arrow best depicts the net force acting of.c qyo oew mtgd.;3,a7qvb80 n the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel sew 8zt ddedy(qc80r n7w w0dv9(at that rotates counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child bw8ndz7w908vq ewctdy(d(0 rdy the seat and belt?

  08.14: A particle continuou4rnxp :nz w,b,70is wip7 ,mbhsly 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 Q. Point Q is exactly half-way azsbbr:4xwm,7i0w i7h,pnn, p round the circle from Point P.
What is the direction of the average velocity during this time interval?

  08.15: A particle conp762 f v7tjgdtnr gm)c rf085itinuously 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 Q. Point Q is exactly half-way around the circle 7fd5tf rv7i ngj6rg)cp082tmfrom Point P.
What is the direction of the average acceleration during this time interval?

  15.07: An object moves clockwise with constant speed aroundm6 7ukok;t:a)e+aw y z the vertical circle shown. Which arrow best indic :mkz;tyk o) ewua6a7+ates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a string countercln k 0d7wrt9n-qockwise in a horizontal circle above her head. The figure shows an outline of t 9qn- 7kw0ndrthe 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 go of the string?

  15.23: A car moves with constant speed around a ho10 em kagfwg hjj7*,+qrseshoe-shaped path as shown with the arrows in the figure. Which one of thefk j1mw+ej*7,ha 0 ggq following choices best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on th* bm * kuc1r.-(tv8h em-dw:eigmx.ng e Moon perform an experiment with a simple pendulum that is released from the horizontal position atrcg.mhtb- ei(mg8v1k-. xw:n*u* med 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-like object rests 2.0m from thev0bdk*1x d 5er 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 turntaex5dv b0*d1k rble 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 moving in a ci8mi -basju u(n8 lu1e2rcle of radius 0.5 m on a horizontal frictionless surf8 n21su-a8jbmeui(luace with a speed of 2.0 m/s?

  05.03: What is the centripetal l-nh+ vc t3i*ui.t4 sc yopr+9acceleration of an object (mass = 50 g) on the end of an 80-cm string rotating at a con yhi3pc9-citu 4t orvs+l+n*.stant rate of 4 times a second?

  09.24: A point mass moves p:e,7axr8 d3umqr iv-along a horizontal circular path of radius 0.8m with a constant kinetic energy of 128J. What is the ma8 ui pa7xdr e3mvrq:,-gnitude of the net force acting on the mass as it moves?

  96.24: A 2.0-kg ball is attached to a 0.80 lq7ip*kxr )tw2 pit j)liss p,iqmj4( , 9f+*qm string and whirled in a horizontal circle at a constant speed of 6.0 m/s. See figurq iiw,jssritt (x29ip ljpf*q4 7l+ )q*,pk)me to the right. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at):cf +unwj1o*fzov- h ;4tfw t the end of a rope, in a uniform circular motion. Which of the following statements is NOT h*vo;:tn4c+)ufww z jt-of f1true?

  00.19: An astronaut in an orbiting space crafz *9w tuboz3yum/ )rg w 4mm/7npj36kst 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 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 mug r4m*/679tsmmo n ww3)3bj/ku y pzzotion would be

  07.22: A mass m is pulled outward untib*aq(xiaw*3w l 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 tension inxa i(*a*wqw3b the string when the mass swings through the bottom ofthe arc?

  94.15: A car is traveling on a road in hilly ter w s bbny8a):f8i:3/6eiodkewrain, see figure to the right. Assume the c86wbwe 8o:e:)/sai d yi3fkb nar 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 weightless:

  17.10: A 2000 kg car w,zx e-y, pri7moves 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 ipwre,y 7z,x- 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 at2uhqy2ut2e 1 fvmw0x5 constant speed. The magnitude of the net force on t0x2tmh2 eu5u2q1w v yfhe sphere

  11.47: A simple pendulum ofl3/*xl0 f u+:qi na9vbdtpc0g 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 repn9puq d3lax0 *g :+f0lti b/vcresent 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.e8 vrx,tcp o24xu5 2eg The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranks the magnitude o ce o4r5p28tv x,2uxgef 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 rubzh0j:gfx:yx *cia9h/ ber 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 vh9:h/*aijfx:y 0 gczx , and the frequency f, of the stopper?

  05.28: A mass, M, is atu 03nfn37irkt rest on a frictionless surface, connected to an ideal hor3k u 03nnr7tfiizontal 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 khq4mb9()q jlg g mass with a constant speed of 3.24 m/s in a vertically-oriented circle of radius 0.75 m. What is the net force acting on the mass when it is at the lowest po)(j 9qmb4l hqgint of the circle?

  14.23:Two small identical coins (labeled X andY) are at reston a horizontj7lwn) d*oe( y1lxm8mjvh i51al disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. The distance of the coino *yjl7xjiv8d h nl 1me5()w1ms 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 xminyyp67ko31*d u6 m 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 i *x3 dn167ykmmu6pyo 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 shown in the wzyn85c6g3mjrk1 zs rj/h-9 hfigure. The string to which the mass is attached has - k 6nz9rzhmw8 ch3/jj1 sr5gya 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 ck(v- v lnaw 5hc7hw48ps e(0b9krn:n mass 11.0g is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constanh:(9kb c nc0s7evwpn 8rv5 4 k-hlawn(t 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 =1.75 m fro vne6tmz4d fl, kc.:gm cwk98*m the fixed center of a disk as shown in the figure. The disk starts rotating from resk e 6c,w9n * v:km.l4mtfdz8gct 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 circoyyf m ;jfdg od8c56z;/wc3 6fle, starting at the top, with initial speed 17.0 m/s. The object’f o zmd6/;g3owfyc 5yc8jd;6 fs speed 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 final speed of the object?

  16.40: An object moves in a circle, startity da*m6o*q7w 6z4lsjng at the top, with initial speed 17.0 m/s. The object’s spee7*6to4m*a6qws yjz d ld 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 botto0v0pv 0o4srj8 0fscl pg2zsa)m 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 mot04j02 fpcs ls sp00vvg 8)azroion, it moves just fast enough for the block to remain in place 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.