95.02: An object shown in the accompanying figur/ -rh k2wa02 yfnoq+tue moves in uniform circular motion. Which arrow best depicts the net force actingau/0ryfw t+ on2- 2hqk on the object at the instant shown?

  05.31: A child is belted into a Ferris Whe,g woac iq/pjv3 1+co5h 1wc;xel seat that rotates counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child by the s hocip 5wvq+31j1 a ;xcw/goc,eat and belt?

  08.14: A particle continuously moves in a circular path at const* )4w0lnmb gb62:jxxaz96gsle g 5cu nant speed in a counter- clockwise direction. Consider a time interval during l*ab emxg s wbc4ln 5gzxj:nu) 662g09which 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 constant spee kv9v:91 qy( dzmy*eabd in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path(9 ea* 9qzybk1v v:dym 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 arzbv7 6lo xb-(av0 e2svound the vertical circle shown. Which arrow best indicates the direction of the object’s vvvzl b b(-206seoxa7instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a st2,sbpy*h/v2ragohs )ring counterclockwise in a horizon)b 2 /ysohv2gha r,s*ptal 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 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 khau/sx1 hj2- shown with the arrows in the figure. Which o 2sku-hjxh/1a ne 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 pendulum thatyszdal*1g nkhvwwjzx7/+u9 3/s 4j j, is released from the horizontal position at rest. At the moment shown in the diagram with wgsx7/z+9k/ju*z slwj y41vhaj3, nd $0^{\circ} < \theta < 90^{\circ}$ , 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 centwks8l, ym sisc/g)4 9fer of a rough turntable as the turntable rotates. The period of the turntable's rotation is 5.0 seconds. The coefficient of kinetic frictionw8g /s4cymk),l sfi9s 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 puck movinrafpjx /: l,t0: u tafyu. uf/c4mp,r5g in a circle of radius 0.5 m on a horizontal frictionless surface with a speed of j:0u uc p,r./mfa4tlx5 ,a uptryf/f:2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) onuo);- a (wx mcah,5ndf the end of hmfwu-a, ;n5(dac)xoan 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 rq njwyaa)3r( )adius 0.8m with a constant kinetic energy of 128J. What is the magnitude of the net force acting on the mass as a(n w3)rjaqy) it moves?

  96.24: A 2.0-kg ball is attached to a 0.80 m sfdflj;+;nvr h8i 8l3ztring and whirled in a horizontal circle rv3f ;l+n8f8;iz jdlh 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 ball992bx zrf6jv.vz :cyx at the end of a rope, in a uniform circular motion. Which of the following str. x9 2jzv6yx9bvz: cfatements is NOT true?

  00.19: An astronaut in an orbiting spac,-u)n o4x gthke 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 -ugnk,t4o)x h, 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 striq, 5 -yq,f2 7 67qnysjrwrfxhdm g2sx-ng 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 sgfq 7xr,sysh-r2x-d2y f w76q q mj5,ntring when the mass swings through the bottom ofthe arc?

  94.15: A car is traveling on k)3yoa a)kr bvll 3o9.*tcd3da road in hilly terrain, see 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 o ydabo*9co.k l3 drtv)3) kl3af the car is most likely to feel weightless:

  17.10: A 2000 kg car moves over a hill at a constant speed xpsx ( ,o yka-1geo:zl1s:t+fof 12.0 m/s. At the very top of the hill, theslzakoyf1xx (:s:, -tg oe+p 1 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. The magnfct q p ctee)fx 38.e/q/-ef2xp t f/2)e fte8x feqc3qx-ce./itude of the net force on the sphere

  11.47: A simple pendulum of length Lhasa point mass M rele/tdi 82nw 7eabo *ko u 8uw-b21sqd-mmased 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 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 forco-/ibd aq-b 7o uu t228 m8n1wmd*swekes when the mass swings at the bottom of the arc (point P)?

  16.32: A mass connected to a string forms a simple pendulum. The **bz24rgp a) vrm3t;rqla cwv 4c-9dgmass 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 r g4;9*wr 2qpva*vbcacr 3td-m4)z l gthe mass swings through its lowest point?

  04.41: A centripetal force of 5.0.ai lt+h)oxg) 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 made smaller, what happens to h)tglaxo i+ ).the speed v, and the frequency f, of the stopper?

  05.28: A mass, M, is icc.y/f :6 ln:n2v ccpat rest 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 mass connected to it is now doubled to 2M. If the sc:. c:ncvp2ln y6cif/ pring 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 on.+7jvfs-sbxea-i3 a constant speed of 3.24 m/s in a vertically-oriented circle of ajs.xn7-+v 3s - iobferadius 0.75 m. What is the net force acting on the mass when it is at the lowest point of the circle?

  14.23:Two small identicx:x+ d3-vigz3fmir t vr3.-zual coins (labeled X 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 of the coins from the center of disk i:3trm zgv i d.xzvir33x-+f-u s 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 ofu,*n/ ;cou e:lu(v3mms3pzsul.a )oc string and moves about the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. The stmcuma;*.ue oscsu/ )(ul ,vlpon z33 :ring 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 unifjykwd l:0v/ w4h k:evv-lq4:jorm circular motion as shown in the figure. The string to which the mass is attached has a length of L = 3.00 m and forms an angleklk/v vj:y:-: qe40dw jl4vwh of $θ=50^{\circ}$with the vertical. What is the speed of the mass?

  13.23: A small objeco(4+l/7 ns0(p:oah iett oh ekt of mass 11.0g is at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a cok: ha4s h(otioe(+7n o t0lp/enstant 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 distance R =1.75 m m 6hf;vt 7ub* xr- onpba5kr *c(ks(t/from the fixed center of a disk as showr- vm7b tu(*naxrkscbh(/ot 5f;k*6pn 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 a circle, starting at the top, with initial speed 17o*sz2,hjyk.)* olsw c.0 m/s. The object’s speedo .,w *l)s *2zosjykch 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 the top, with initial speed (r;5tu:e nngt 17.0 m/s. The object’s speed increases uniformly until it has moved counterclockwisen 5:eg(u n;rtt 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 spx8ce qrq 7pk52;kzr7jun 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 kekzr5pxq r7;2 cqj78 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.