95.02: An object shown8ipooq 5f7plnn6 oz 70 in the accompanying figure moves in uniform circular motion. Which arrow best depicts the net force acting fp07l56 i8z onqopon 7on the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates countercl6h1s n2kkswumq )5hg9 v0wih(ockwise at constant speed at an amusement park. Akh(i) um h5g2 swv60k1qhn ws9t the location 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 cslv:mdk.6 f8i u up+nc*3/ygx onstant speed in a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from point P to point ium+ ynus/k6lpg3* fx8dc v.: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 speed .su qc2;cu c sh:ro- nss,z/*xin a counter- clockwise direction. Consider a time interval during which the particle moves along this circular path from point P s,cusn q-cuz;oh.xscs2 /* :rto 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 codz: ao w4r,zcln3y(t0 nstant speed around the vertical circle shown. Which arrow best indicates the direction of the object’s instantaneous yc0o: t4z ,(lnad 3rwz
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected to the end of a string counterc8zvw-et5 *3yr xo jjo1lockwise 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 the figure, at which lett35-jowjyxo8er* z 1tv ered point on the path should she let go of the string?

  15.23: A car moves with constant speed arounp.+ pxp6gwxs, d a horseshoe-shaped path as shown with the arrows in the f ,6gp.+xxsp wpigure. 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 Moo56djv s6 d/ )we-oikjsn perform an experiment with a simple pendulum that is released from the horizontal position at rest. At the moment shown in the diagram5ije 6v dkow6sjd-)s/ 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 6avv m ;o5/ +xz lplzdk y/jm1j*l:yk*rough turntable as the ta;1/xkompll yjvj :z*/*v5 dk6yzl +m urntable 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 necessar )7rblfj 1t-kkw*+rr)w yj6 omy to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on 1frotyrw 7m- wjljkr+bk)* 6) a horizontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mass = 50 g) one2 -p;xe o 3q3xxl; (ptdqj cl31x8djc the end of an 80-cm string rotating at cjp 3lpqtdx lej( x81c32-x;3;qx oe da constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal circular path of radius 0.8b*r k 4db9gwb(m with a constant kinetic energy of 128gw*(bdk 9b4 brJ. 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 0.80 m string and whirled in a horizbpr5 4z3-fi l16jis mkontal circle at a constant speed of 6.0 m/s. See figure to the righf4 il51p rb mi-kz3sj6t. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at the end of a rope, in a uniform circuld +xn6p(2vfbe ar motion. Whi2v px e6(f+ndbch of the following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass m to a stri8ucruo ,xdeo48:f . m1,zp ucjng 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 theu8,oc8,c:euxum jz ro 1f.4dp 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 is at od+, oa5.,zl bl/r1bqe :5-cj ixpqvatached makes a 90- degree angle with the vertical. The mass is released r, bq:p5cebd5,xa aoi /+vq.j lo zl1-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 righpy3r vir:0kx 6dnn1n /t. 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 weightlessx/nnyvp1r:ir 36nk0d:

  17.10: A 2000 kg car moves over a hill at a constant speed of 12. /gn-tzaqh3qtk 0v slcp-:. 4v0 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 represents the magnitude of the upwarl v4nkg.t s:-0/c p ht-vqzaq3d force exerted by the road on the car?

  97.13: A small sphere is 4sgsh k83 f1, zg0fb f,xdt1vrmoving in a vertical circle at constant speed. The magnitude of the net force on the sph 8vgkf1ds, zf0xh 34 tgfbs,1rere

  11.47: A simple pendulum of length Lhasa point maat3sf *y0q,g)7k)zjflxo mk;ss M released from rest from the horizontal position shown. In the absence of air resistance and friction, the mass swings through the ar),oqt*g0 kkl ajzxy3 7)s ffm;c 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. The mass is rez9 9y (gjr8l fn:wftxcv1 w-p oke9w.0leased from rest and undergoes simple harmonic motion. Which one j(c.9ykpolv:-wwgn 8fr9xf w1z e09t 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 the mass swings through its lowest point?

  04.41: A centripetal force of 5.0 newtons is applied to a rubber stopper d .*:r7ux26ix0lam cyd)bo gl moving at a con0ilxol7u).x d2a:y *6mdgc brstant 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 frequency f, of the stopper?

  05.28: A mass, M, is at rest on a frictionless surface, connected to an ideal uii +xyq(jccuifs x1 21hv l s:-fx;70fue+*lhorizontal 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 1(e2 f+lyvh cxiu0 quxsjili;x*s1 c7+u:ff- 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 constaxbc5 31f /,jdxe+tx9 ci/pxbd nt 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 lowest point of the cir +1xb5j9dextc/fib, c3 d/ xpxcle?

  14.23:Two small identical coins (labeled X andY) are at reston a hoy+/gkk,9n0 cxkt)e1g8d- *r aqle zyqrizontal disk rotating at a constant rate about an axis perpendicular to the plane of the disk and through its center. The distance o1lean e*dk+gy x/rq g)qct 9,k 8yz-k0f 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 oq5-7c goy.(q8pxib 7 o ggp8orf 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 length of 2.50 m and forms an anglepq8i 7- oog ( pyo78bggcr.5qx 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 shown5,uiate, y0y m in the figure. The string to which the mass is attached has a length of L = 3.00 m and forms an anglatie,y5 y0, ume 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 3at ,l2q) vq-fuv 4 iues2-clorest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with aciu)lu, lq2s32vv a-q4e f-to 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 au.d3ffa60n8v3xdm l zttached a distance R =1.75 m from the fixed center ofndl.v8u fzf63ad3 x0m a disk 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 a circle, starting at the top, with initial speed 17)wz c;zm0/xi-n5c frm .0 m/s. The object’s speed increases uniformly until it has moved counterclockwisen0/-xicmf5zr) w;zm c 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, 5drwlvo+ 3 7n.)hcxzl starting at the top, with initial speed 17.0 m/s. The o)hxwl3vd .75rln +zc object’s speed 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 time for this motion?

  17.38: A small 2.0 kg block rests at the bottom.j o39/a0y39rr0 pa 8woc/oc zz5nan qgqkmm9 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 its motir0/kz 99r a95awojyoq. m ccno0m33q 8n pzg/aon, 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.