95.02: An object shown in the accq:zugr( fepr 5dk9v+).g un/ uompanying figure moves in uniform circular motion. Which arrow best depicts the net force acting on the object at the i (q)ng5uurg kevfz+u./: pd r9nstant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterclockwin+8va )ida t4wp u:qp0se at constant speed at an amusement park. At the location d8i:4+wvu0 tppqaa)n shown, which direction best represents the total force exerted on the child by the seat and belt?

  08.14: A particle continuously movesa06jeb mdq *k/ in a circular path at constant speed in a counter- clockwise direction. Consider a tijqbm0*kdae 6/me 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 at conk h67hgh99shfhrx/,qstant speed in a counh7h sf6q r99xh,hkg /hter- 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 from Point P.
What is the direction of the average acceleration during this time interval?

  15.07: An object moves clockwise wx 2hp-d v(7 acijnpu-cqt(hj+*6g 6isith constant speed around the vertical circle shown. Which huc(- hp x( -j6*itd7cj2pvsg 6in+q aarrow best indicates the direction of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirlsf t46u3hwgw92mnp8+z o jlfii0e( pl* a small 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 in til 6( 02fw pl3*nutg 8ih4e9+zm wfojphe 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-ye8m5nye- uz7 shaped path as shown with the arrows in the figure. Which one of the following choices best describes the direction of the average ac -e5zuy78 mneyceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon perform an experimenw6 f3:mj9 7hjg t*6e7mwegwmb t with a simple pendulum that is released from the horizontal posi*tg66g mw bjj9f:m3 e 7hwm7wetion 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) point-like object rests 2.0/3ypzf iy,n i4m from the center of a rough turntable as the turntable rotates. The period of the turntable's ropf/3yy4izi ,ntation 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 a 1. 0 kg puckr narf: lnl2 0i3su 7cnahb6hv(p./ 1w moving in a circle of radius 0.5 m on a horizontal frictionless surface with a sp3l / c:u nrsnh(b 1 l06pavnwfir27a.heed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (ma374z hqrfqq pmxalkcn7 5,4; kss = 50 g) on the end of km4qz,lf ;7 3qp57karch4n x qan 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 rpvwivgw018bz q -; 3otadius 0.8m with a constant kinetic energy of 12v w8;o0zi1tqb3w -pvg 8J. 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 qr 7ri61gfkf:i vqc(xi5w+6;yvfz t+a 0.80 m string and whirled in a horizontal circle r xif6 gf+;vyc5:k1i(frvqt 6 wiqz7+ at a constant speed of 6.0 m/s. See figure to the right. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at the end of a rope,sv,3ihnrbd-j + ,cm k7+ rs-0g: eqmsz in a uniform circular motion. Which of the following,j,m: vqm+ rg izr-hec7+sds s0-n3b k statements is NOT true?

  00.19: An astronaut in an orbiting space n1ysoeg8rjc52(ay zi zj6 ,v) craft attaches a mass m to a string and whirls it around in uniform circular motion. The radius of the circle is r, ti2 vy,eyrjz(zs j58o1n6gac )he 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 pulle ,zzlnfy0jb;y (egr/* d outward until the string of length L to which it is attached makes efgbrzyj0l( /;n *yz ,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 bottom ofthe arc?

  94.15: A car is traveling on a road in hilly terrain, see figure to the righ/n .cydgccc4ej i;w37t. Assume the car has speed v and the tops and bottoms of the hills have radiusn de ;4igc w/j.cy3cc7 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 speea)d2 e/19hfgl vlag9 kd 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 represents2 9f/ge) 1laah9dg vkl the magnitude of the upward force exerted by the road on the car?

  97.13: A small sphere is moving in a vertical circl 0*6 ihw. m ehlh*8jns(uuvv(te at constant speed. The magnitude v (8eunthhmw0(sil.6jv* *uh of the net force on the sphere

  11.47: A simple pendulum of length Lhasa syota1u*z5t q. kfl39 zi4.it point mass M released from rest from the horizontal position shown. In the absence of air resistance and frictio yl tua*4zqoft93kzi5 si1 ..tn, 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 7 ;u6y)cfvb+etu gfx3a 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 actingu3gv+c ;ef) yt76uxb f on the mass (F) when the mass swings through its lowest point?

  04.41: A centripetal force of 5 d q )6gsi4,6u23r+gvqa-klg 9p dlcui.0 newtons 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 mai4llqus+,)6rgkadp gdgu vi c 6q-293de smaller, what happens to the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is at rest on a freiv( 5et q7;hbictionless 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 doublehb q7ev it;e5(d 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 masv2,pxgbrkz3xx*ud57h 4o n 1 rs 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 lowexznb1uh r7kv3p, 425 ogr *xxdst point of the circle?

  14.23:Two small identical coins (labeled X andY) are at restoi h. ubg1n3(pln a horizontal disk rotating at a constant rate about an axis perpendicular h.3bl(g1piunto the 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 of string and moicn3jqh) ub v 9idc0g2 t3:qr(ves about the string’s fixed end in a conical motion with a constant speed of 4.hi33)turd2 ib9cn:g0jq(v cq0 m/s. The string 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 f4k6h; f0nis 2xesb:.d xkaqt3 igure. The string to which the mass is attached has a length of L = 3.00 m and forms a4 6b3itq.0 fkna sxde:hs2k x;n 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 aopebz 1 :5v-;f7g kafrt rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate 1- ovgkfabfe7;:5r pzfrom 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 distanceqrkx8q:kp 1v.1 l e)gd haf6l3 R =1.75 m from the fixed center of a disk as shown in the figure. The disk starts rotatfk6g:.d8k p qr113e)vlhax q ling 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 movec-2l5t)6egpyf+bpkru i;h 27 ; wp z-7gshapks in a circle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformlp7p;p- gubs7a t-zhp5 yr + 2i6;2eghkclfw)k y 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 circlee:qraarr79k mzlw 7/ *, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has9mwea* q7:r rrak/7lz 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 req d +izvb)6gyii:h2:/ y)xsoe sts at the bottom of a bucket. The bucket is spun in a vertical circle of radius L by a rzb:)dx2y+e oyvisi) 6g h:/iqope. When the bucket reaches the 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.