95.02: An object shown in the accompanying figure moves in unifld. av-aq(zmn,k/-/wxie qs +orm circular motion. Which arrow best +nqldwk(.-a,/v mqi-ezs/xa depicts the net force acting on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates coun6:: nl nejo)li/tng- yterclockwise at constant speed at an amusement park. At the location shtng- o)/6l nejyl:n i:own, which direction best represents the total force exerted on the child by the seat and belt?

  08.14: A particle contifo92hiq 9yisd0w ma 8t0sr7d8 nuously moves in a circular path at constant speed in a counter-is yo 0m7itwa h8r 8dfq9s209d 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 velocity during this time interval?

  08.15: A particle continuously moves in a circular path at co- p3vr6fw ))bi-+bvs vs/t fsdnstant speed in a counter- clockwise direction. Consider a time interval during whicv )ss3d/f )sib- t-vb+pwvfr 6h 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 wit ic4 nd 0kgj t.a3)m)+kngkn3zh constant speed around the vertical circle shown. Which arrow best indicates the direction of the object’g k n3)kk i)c dgz03+4jtmn.ans instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls -yuex6 l9 6j3y pn+p8ahbf g6ka 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 uj- xk 6py9lfhpg66b 3n8 y+aeP 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 fhwq-lm3j l ck,jygn8 7b297 thorseshoe-shaped path as shown with the arrows in the f,7-m9 qk7 ly3 j2ncfl gjbhw8tigure. 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 simple ;/3nmev v ; qi/ryhydz,6bib+pendulum that is releas,6/eh ;b ybv;d vinz myi/rq3+ed from the horizontal position 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 2p+viexo-fl*6;t1z3t1qbw u 39 v newk.0m from the center of a rough turnta-t6*wu13 ftvpvzlb1w eo+9x enikq;3 ble 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 0.80. What is the magnitude of the force of friction acting on the object?

  07.19: What net force is necessa6.qyo/xr6 dv e;f5 iusry to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on a horizontal frictionless surface.ed6vfy rx/su5qo;i6 with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 gak 7)/rwf r3v57ihnrr) on the end of an 80-cm string rotating a r7wn 7k3rhvr5/rif)a t a constant rate of 4 times a second?

  09.24: A point mass move.8-zab( cjnvaphz in* u/x .w+s along a horizontal circular path of radius 0.8m with a constant kinetic energy of 128J. W(*nz h v.+.8x/ uiajzpcabw- nhat 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 h ubc1)ndl-mu) orizontal circle at a constant speed of 6.0 m/s. See figure to the right. The work done on the ball during each revobuc-d u m1n)l)lution is:

  99.22: A child whirls a ball at the end of a rope, in a uniform circular motiowd-7kvupx ky9+ bzm)-xkz g*hot53f )n. Which of the following statementsxt* dyh)m- 5) +kz3zw vug p-7kxo9bfk is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to a snp/6qmqg na htr a,;o(1t4g6ytring 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 tnt ynqp;4 6 tom,r ha6ga/(g1qo maintain uniform circular motion would be

  07.22: A mass m is pulled outward until the string of length L to which it is ebs b3gsfn4ai +z90l8 attached makes a 90- degree angle with thfnai b e83z +40l9gsbse 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 right.b9f m8g1h v5405x b jiy)dgchyhtl62t 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 weightletdij5ybth)1 04g 5 8 hxlg9bcmyf6vh2ss:

  17.10: A 2000 kg car moves ov nk01hzc1j, - i9bysojer 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 followingo hbs01,c1-9kzn yjji 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 sj/cn.(oj f:wam pyil 0 a8/a kw,fr6w;peed. The magnitude of the net /i8ya6lwrwo: fc/np,jfw.k;(maaj 0 force on the sphere

  11.47: A simple pendulum of length Lhasa poiu :-)u f/v /mqav.k7ujuu:rm znt 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 ac-u/ua 7 qjr m/zk:m).:uvfuv uting 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 pkqs b4,ms5r )lnw m a 7v36hlk 9lfya8zxb*u.:endulum. 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 nebs,fmy)nl3l89 *7brauvs:z64 hw5q mk ax .l kt 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 stopper moviibh/ 90 p /fk,mj5ryjeog m (cm//x/bsng at a constant speed in a horizontal circle. If the same force is applied/ hcm0j (/ ejop/x,m/bfr/ 9s5gbmiyk, 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 rest on a frictgld,/ m()ukj oionless 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 doubled to 2M. If the spring is extended back 30 cm fromjo ( ldguk)m,/ 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 mahrb vl37)tir-ss 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 av)7 -l3r thribt the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) are at reston a horizontal disks(evi4,rrfv i,;lmy/ .lgh- h rotating at a constant rate about an axis perpendicular to the ,ryhgvr ll ( vh-e./fi4m ,;siplane 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 thc6p e tgd epuqx(8*t.;e 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 string has a p t;.quc8t deex6g*p (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 th7 vh8c/tq aaf)seeu8 2e figure. The striehv/te2a7c)8f8ua s q ng 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 )u(urac7 o3;lrd4.0tb ej r* bb)wjjl a horizontal disk’s center. The disk starts to rotate from restbej)l dj c ru;*a07().ut3lrbb w4ro j 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 dista5 1to 1f7wwovance R =1.75 m from the fixed center of a 7fot11w o 5wvadisk as shown in the figure. The 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 e s7ktlp +9zb b:jj2jh3n)d u*a circle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through anejh:ls7 k zpn u3j)t+j b9d2*b 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,zmkc2w,f9i w - it7mn0 starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly untnwtfz mc7iwm-2 i0,9 kil 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 bottom of a bucket. The bucket is efx6aa2 oln2rp7. l a20/yjwhspun in a vertical circle of radius L by a rope. 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 bufe7 0 /yh aa2n.oa r2jl2wpl6xcket 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.