95.02: An object show/ 9w i61o9onn cwmrc(-j: jpwhn in the accompanying figure moves in uniform circular motion. Which arrow best depicts the net force acting on the object at the instant showjorpnc i9h/ mw9jcno(61:w -wn?

  05.31: A child is belted into a Ferris Wheel seat hbtgr 2(4xvj (s-(x ws v7nh*uthat rotates counterclockwise at constant speed at an amusement park. At the location shown, which directiobgrh (nwvh4 *ss- xx72j ((uvtn best represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuottz qmmt*d rq,1-s zl83,sh5oon 6l s+usly moves in a circular path at constant speed in a counter- clockwise direction. Consider a time interval -+hoz3 mt ,o,tst qz8lr65qsl1*dmnsduring 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 continug0*n0xvdeq+l m)j 4zzvygi;5ously moves in a circular path at constant speed in a counter- clockwise direction. Consider a time interval during which the pad ezz4gi+ *nq;v0xmy50 lj)vgrticle 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 clockw 8fu0h3 g:ihrnise with constant speed around the vertical circle shown. Which arrow bi :3gru h8h0nfest indicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a si(/5k p /dasxbmall mass 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 iadi kx pb//5s(n 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-shapkte;s j3 (wtkh*uc g-19tn p5fed path as shown with the n1 s f; 9cewgjpk*tt5uh-k(t3arrows in the figure. Which one of the following choices best describes the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the n-3r i-.hk) azchj,k gag2t.f Moon perform an experiment with a simple pendulum that is released from the horizontal phk-zt.knga i.gc3fh 2- )jr, aosition 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) ps-qelt+u t ;6 -kupckcuwtgv( +a3.m( oint-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 turntable is 0.50, while the coefficient of static friction is .(wa g -sutkk;e vqptlum6c(-uc+ t+ 30.80. 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 civi*a)-kfrw ( ercle of radius 0.5 m on a horizontal frictionlv f)k*a-(rwei ess surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) t /b) qlm5y-vuev+j(j on the end of anvyvu+)jeq(- m 5b l/tj 80-cm string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal circular path of radius 0.8m 3 wbf8njaxc9h3quzp3h42 r-b with a constant kineti 4 u9xjrhq 8fn33b -cwpbha23zc energy 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 e.k oz0/uc6c:8ztxd n y+gs)m5fs9s p 0.80 m string and whirled 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 rec tz )5g+ozkscp f0ne ys6md.:xus89/volution is:

  99.22: A child whirls a ball at the end of a ropgj:j pp:x;m6nefmg0.ydi. +r e, in a uniform circular motion. Which of the follpmg. jji: nrefd.0:p;ygx6+ mowing statements is NOT true?

  00.19: An astronaut in a e70-b jiw8x f,n0euzwh sby2l if3u46n orbiting 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 to double the tension required to maintain uniform circulas42f nzh0i ,le 63x0yibf8wbe-7ujwur motion would be

  07.22: A mass m is pulled o0jw7 asg,/0jru sl) tautward until the string of length L to which it is attached makes a 90- degree angle with the vertical. ,ua/t0)sj7a r gsl0wj 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 on a road in hilly terrain, see figure to the rqrl3sf8yx3,* lj8w pjight. Assume the car has speed v and the tops and bottoms ljrs3*3,lxf8yp 8jwq 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 over a hill at a constant speed of 12.0 m/s. At the v 5o+z)qdvxlo8 ery top of the hi5 8+ ozqd)xvloll, 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 spher91b 9mx,iltmehfq i*0b*3y kge is moving in a vertical circle at constant speed. The magnitude of the net forc*ib,b13y q klxf h m09i*e9tmge on the sphere

  11.47: A simple pendulum of length Lhasa point mass M x068ux8ltgdw* lbe ,j 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 0 b 88we,6xxlj gdl*utthe 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 a string forms a simple pendulp),mk1ipla ;)du5u zvum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choice,5p)dmp a; kuviu z1)ls 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 newtons is applied to a x 4,1)bt fgqpl;8dcmbrubber 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, and the frbpm1xt4fbq;d gcl)8,equency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connected to an ideal hoyu:x;k r1zi l2n e1u.5+mdyjnrizontal 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 stationar12ueuj rxinm.ny +1:k z;5ldyy there?

  12.22: A girl swings a 4.0 kg mass with a constant speedk2 2f 4wyzx87pedi9wa of 3.24 m/s in a vertically-oriented circle of radius 0.75 m. What is the net force ay p d2zeai9 xk827ww4fcting on the mass when it is at the lowest point of the circle?

  14.23:Two small identical coins (7 ifspqjxtwe3( xz-;9labeled X andY) are at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of the79q -sxj ;p(wtze i3xf 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 co k )t9svum4j2 1h:n)ce.fndm annected 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 :ae4ds) fum 9jvncnk2) 1.ht mstring 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 shown in the figxsz(** ysmakw)l b;ls*(ce8 ture. The string to which the mass is attached has a length of Lke (ym8wssc*tl l*b*a;(x)zs = 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 11.0j 1+kju l;r8xyg is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant angular accelerat +;xlyjjur81k ion 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 mp x* t -imf8madsf/; -k:vw5hdistance R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating fro-fmkh*- d : vmfsa;5x/mwi8 ptm 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, vkf ifx :ix36l(aip( (with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterai( p:3fv(ixi f(6xkl clockwise 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, witosvp wh7-hbmn0 0jq+ 2h initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved countervw- 0b+jm0p2sqh 7n hoclockwise 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 bl.34m7qilcrh:dv eg:l ock 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 ii l.r hv :cd:gqm74le3ts 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.