95.02: An object shown in the accompanying figure moves in uniform c+ 5xqz,-lrwf uircular motion. Which arrow best dep wl-uzqx+ r5f,icts the net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates couns427t4p x99x,pgsa 3aqbpwz jterclockwise at constant speed at an amusement park. At the location pxaq9sjw4p s,a p 973bx4ztg2 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 at yt8+obx:jtzx u.;fmh 18tanf9 e77 y-n uwj w(constant speed in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from pwh9.o;tj7bfe -fnnw:x1t8(t +8zxayu m7 u jyoint 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 pak: :*ig vpx.ahth at constant speed in a counter- clockwise direction.:v*x h:.kpia g 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 from Point P.
What is the direction of the average acceleration during this time interval?

  15.07: An object moves cloc3hns 6/l qv3qzkwise with constant speed around the vertical circle shown. Whv3q6qsl 3/zhnich arrow best indicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass conn,vm(cu(n.:ptmk5 xp oected 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 abovenk:m.t puv, x(p5o(cm 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 conq,xoj tzqey gr,t9/ 60stant speed around a horseshoe-shaped path as shown with the arrows in the figure./ oy9qtrx0 eg6qjtz,, 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 Moon perform an experiment with a wfbu;1gy;1lv simple pendulum that is released from the horizontal position at rest. At the moment ;v;gw f1u1ylb 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 the center of a roug5 8vro irglz99h-t8+qk .d rgm0,pf pah 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 goid.qr l+ar fm,h50kp zvpt 88r-9g 9coefficient 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. w )h rnj(. h36avo;u 8evsub*f bjq5+b;fnt;x0 kg puck moving in a circle of radius 0.5 +jrbwvaubv o*)j;. s fu3qbhte x fn 5(n8;6h;m on a horizontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (masy/ cp5ku:1alhn ens8 .eh2q* ps = 50 g) on the end of an 80-cm string rotating at a constant ra ne 8leq.kp*a yh5hc/2u1s p:nte of 4 times a second?

  09.24: A point mass moves along a horizontal circular 92 2ri,0 c2akwn abyj yv(8vdrpath of radius 0.8m with a constant kinetic energy of 128J. What invb29k 2dawy a i2cr 0rvjy(8,s 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 horf.wx ib4. iwz* (dkdn5izontal circle at a constant speed of 6.0 m/s. See figure to the right. The work done .(w*i dx f4zn.kibw5don the ball during each revolution is:

  99.22: A child whirls a ball at the end of a rope, in a uniform cijk8ih7xu *)ng9 prypu*v)5 ivrcular motion. Wv9ju)pvr5* ) ig8xuy in h7*pkhich of the following statements is NOT true?

  00.19: An astronaut in an orbiting space cr3e((j)2p+vcmnagcz h aft attaches a mass m to a string and whirls it arou hvc z2)3 ((egjm+ancpnd 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 outward until the string of length L to which it isl:nua0t*w f02ps k*mp attached makes a 90- degree angle with the vertical. The mass is released from rest and swings through a circular arc. What is the0apwl0 *2*knpust:m f 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, seeqa-m2; f,awyrx) rsb8,g q4 rw figure to the right. 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 weigbr48) , aqg;wys rw, x2frq-amhtless:

  17.10: A 2000 kg car moves over a hill at a constant speed2+* om1a n4azyhgkco ( ue:l(neu75lu 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,*u5 1cehy 4o2neau+ nllk7amu(z:(og 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 movinri,l0.eb r 82, j.edk8nh jyvpg in a vertical circle at constant speed. The magnitude of the n,8 n hjdv.lkb,ee.2 rj0p8iyret force on the sphere

  11.47: A simple pendulum of length7 lcwv5z98 bzl 7pm u0kzk ao-)7wgej+ Lhasa point mass M released from rest from the horizontal position shown. In the absence of aimuz j5gaz) c+k7w-plb9z8kv7elw 0o7 r 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 a string forms a simple pendulum/ 80nvj(i (idb wjutz). 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 sijvt u/bw(in()j8z d0tring (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 stoxoo1mz)hz5(7 ls- zzkpper moving at a constant speed in a horizontal circle. If the same force is appm hszo5k zo(17-xzlz )lied, but the radius is made smaller, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at respk*n(s n 7hyph3j0r 1sk-/ hjyt on a frictionless 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 sn jshkhry3 7p j*(/pn1-h yk0mass 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 speea 2xp f2)nbf-fd 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 f2ffx-2b n a)plowest point of the circle?

  14.23:Two small identical coins (labeled m zcc(x8ic1zc7a8q2-zkllp 1 h8/cecX andY) are at reston a horizontal disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. The distance o xl18ca- m2q/c ilchzc7z88ecp1ck z(f 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 idzfid94oyp/jhi h2 s- p784fthe 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 an-y8o ip4p2 hs /ff4i ddz7jhi9gle of $θ$ with the vertical. What is the tension in the string?

  17.26: A 4.00 kg mass is in uniform circular mo5uvlgyc oy:k.c5 n 3m1tion as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m and forms a v3cu5kcm1:y nog5l. yn 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 resti3kylb91btrs t 6xb46 30.0 cm from a horizontal disk’s center. The disk starts to rotate ix1rb64kt3l9stb b6y 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 distanc/6yrk2 v+yggi/wkxvex 30p icr ; 0z8we R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotating from rest with constr3ezv0xk0yv rxg+w/c;gyw6kip/ i 82ant 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 tongw9ee q:+yfxks p :5/p, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an angle oxs9ewg + pf/5qk::en yf$55^{\circ}$. 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 circlexy8:a s 2nl,ie, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has mo 8e,nlaxis2y: ved 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 bott 9cra)wxm- +o)yfi :elom of a bucket. The bucket is spun in a vertical circle of radius L by a rope. When the bucket reaches them ae-cy) )oixfr 9lw:+ highest point in 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.