95.02: An object shown in the accompanying figure moves in unid - eyr,b7vm-jform circular motion. Which arrow best depicts the net force yr7,be-d- jvm acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat u, p. sg iku:6onc:r,xthat rotates counterclockwise at constant speed at an amusei 6::,nosuprxu. ,cgkment 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 circulaxha:aku4-h zu tj1-o1 r path at constant speed in a counter- clockwise direction. Consider a time interval1au4-ak huo:-t xzjh1 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 p: xh7m0 :e.d (d g fdlmpng0ne08z.frnath at constant speed in a counter- clockwise direction. Consider a time interval during which the particle moves al8nfl0d.mr e(mexfd0gndzh : p.:n70g ong 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 v0ics:e pd) deh :hqtvb5i. /3fertical circle shown. Which arhv.cips5::d)0i h e te/3qdfb row best indicates 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 countercit. z */ j;ittoa9cgu8lockwise in a horizontal circle above her head. The figure shows an outline of the mass’s path viewed from above the twirling mass. If tti tgzj. i*c9/; auto8he 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 horseshoe-shaped path as shown wun) md.+cww:6 8xbsxwith the arrows in the figure. Which one of the following choices best describes the direction of the average acceleration of 68 u+wwd) :.snxxcmbwthe car in traveling from Wto X?

  08.35: Astronauts on the Moon per1b *n xkowysn6n8d0z 0vw 8n/h.gl u5vform an experiment with a simple pendulum that is released from the horizontal position at rest. At the moment shown in t.zhnkny0/86og ux*bwvs 5v8n w 10ld nhe 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+ nlqda4ax54 na p./g(bwv7aj object rests 2.0m from the center of a rough turntable as the turntable rotatev 5wan la4(j+q7bn xp./aa4gds. 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 friction acting on the object?

  07.19: What net force is necessary to keep afnm6b t8w+:ud 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frifndutm 6wb:8+ ctionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (m* t.; fl,syirgass = 50 g) on the end of an 80-cm string rotating at a rl*tgy;s.f,i constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal circular path of radius 0.qe14thicbytu+/ h,k (8m with a constant kinetic enery (c,huih1 eb/ +tkq4tgy of 128J. What 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 whirled in a horpu4o+b shq h1;d:8bhtc3e1m sizontal circle at a constant speed of 6.0 m/s. See figure to the right. The work done on the ball during eacdoh1ht q hum:sb;e3 48+cpb1s h revolution is:

  99.22: A child whirls a ball at the end of a rope, in a unifor) ok8xnteoeb ,j2 cy7*m circular motion. Which of 8c7o y)jne2xobe* k, tthe following statements is NOT true?

  00.19: An astronaut in an orbit1j akvo9uevdcn0jro+)6 9 d)d ing 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 is v, and the tension in the string is F. If the mass, radius, and speed were all to9jrdv)j e6)+kd dn1o0coa vu9 double the tension required to maintain uniform circular motion would be

  07.22: A mass m is pulled outward ksnl0m/re;sdetywde (:5; ,o 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 a circular arc. What is the tension in the string when the mass swings through the bott ,; s/5; 0nesdlktmy( row:deeom ofthe arc?

  94.15: A car is traveling on a road in hilly terrain, see figure to the right.gi( k3x0rmb kvd/r 5l3 Assume the car has speed v5d rbm(i3glv3 kkxr0 / 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 moves ove7(oivl,r4ck5r1gzq h r a hill at a constant speed of 12.0 m/s. At the very top of the hill4rgz(5qrli 7vhoc ,1 k, 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 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. Ths2 d41o5qp uzje magnitude ofo4p djqs12u z5 the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mass M released from rest from* ;o vvk (js ejotln8 viube*9mi7477s the horizontal position shown. Inm7 ksi897j7v 4jve ou*vlbtn(; es *oi 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 describes the relationship among these forces when the mass swings at the bottom of the arc (point P)?

  16.32: A mass connected to)ao u owl6o 96xk1)ubc)dm-ds a string forms a simple pendulum. The mass is 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 poin-m)b )c x)69olduwoau k 1o6sdt?

  04.41: A centripetal force of 5.0 newtons is appva5p /(+uhgg h8o ;xfdlied to a rubber stopper moving at a constant speed in a horizontal circle. If the same force is applied, but the radiupfa/og; 8h g5vuhd( x+s is made smaller, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connected to an iw+geyjsg4 ,trx,; l.m:yhx 0 qdeal 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 back 30 cm from equilibrium, what is the necessary force applied by the person to ho,,tlr+ 0.syqxexw4 : ;gjyg hmld the mass stationary there?

  12.22: A girl swings a 4.0 kg mass with a constant speed1:tiou+/nc tx of 3.24 m/s in a vertically-oriented circle of radius 0.75 m. What is the o+n ic1u/tt :xnet 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 restj(ghsc/5u9 d)z qx3ovon a horizontal disk rotating at a constant rate about an axis perpendicular to thzjxg hdc5o u9( q)3vs/e 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 c flsj6h a93;7wnt0g wr 8h e8tj*9bbfof 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 8wsjet3 b wh97nl 6r tc9g8ajb*0ffh ;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 sx)fr0q(d +* enkhana ,hown in the figure. The sta en0qha)(*drfn xk +,ring to which the mass is attached has 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 horizonta 9bffewtq86* rl disk’s center. T*tb e8fqwr 9f6he 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 with mass M = 2.0 kg is attached a dis 6*fpkid.q mk9tance R =1.75 m from the fixed center of a disk as shown in the figure. The.*mikd9pfq6k 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 inbq ql7:yt i8o6itial speed 17.0 m/s. The obyiblq 87oq6t :ject’s 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, starting at thhrixbc :u28m9 e top, with initial speed 17.0 m/s. The object’2uc rb:xh m8i9s 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 time for this motion?

  17.38: A small 2.0 kg blo+ler 8jx+,8efz ram 2q.cuga) ck rests at the 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+l8x f,.+jq mur re) gc8aa2ze its motion, 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.