95.02: An object shown in the accompanying figure moves in uniform circulp dbh48*a ,g3.emff qvar motion. Which arrow best depicts the net force acting o fdg3 ,ebv8m*h4fapq .n the object at the instant shown?

  05.31: A child is belted into a Ferris Wheel seat that rotates counterc5g(spg)za z9nlt+f-w lockwise at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child by the seat and belt? ta- 5lwng+gsfpz z9()

  08.14: A particle continuously mod 7p)+pr:4p 7iv lyewtaat/6c ves in a circular path at constant speed in a counter- 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 avta)i lc:7ayet47pd6 r /p+wpround the circle from Point P.
What is the direction of the average velocity during this time interval?

  08.15: A particle continu/zz a1u n nb(kku vq,w26by5s)ously moves in a circular path at constant speed in a counter- clockwise direction. Consider a time interval during which the particle movuznu n5/kbq2(k1s,6a ybz )vwes 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 with constant speed around the vertical c r.gtk 4:ham8nircle shown. Which arrow best indicates the dagt k4:hmr .n8irection of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass con gm)s f08sk :hw5e;patnected to the end of a string counterclockwise in a horizontal circle above h:;t 0afhme)g s k85wsper 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 1l io2thiv)k 5fsc0)tspeed around a horseshoe-shaped path as shown with the arrows in the figvt)51fi0hicok )2stl ure. 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 pend.u*vsa *:9gzzr zc n vf,*ap:pulum that is released from the horizontal position at rest. At the moment shown is p: gzr z*, cpz**n.9:avfavun 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+ke* j jy c6 h8ju6 ;oskudn70kyna2n0 the center of a rough turntable as the turntable rotates. The period of the turntable's rotatiy86* ;o ay6js7 k0ndck+0he ujn2kujnon 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 keepw z 2(/x+d;f)hidt fvk a 1. 0 kg puck moving in a circle of radius 0.5 m on a hori zw/x 2d;ffh(kvt)d +izontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object 7 zchx8f tt* 75vuv2ru(mass = 50 g) on the end of an 80-cm stri2*8 vvxuf5 cut h7t7zrng rotating at a constant rate of 4 times a second?

  09.24: A point mass moves al gaft c1+n:9coong a horizontal circular path of radius 0.8m with a constant kinetic energy ofc +n9c:ao1 gft 128J. 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 horizon a8vx :zqva- eu-nbw--tal circle at a constant speed of 6.0 m/s. See figure to the rbq-xza-:a u-8w nvv-e ight. The work done on the ball during each revolution is:

  99.22: A child whirls a ball at the end of a rope, in ap em 5djb6; ahwu+lg /c:o3*tq uniform circular motion. Which of the following q6b*hwtd;5/lo+pj3 e: gc muastatements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a mass mv zy m-+vageg k+).v h;lf7+lw 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, and the tension in the string is F. If the mass, ragvg+l+y+lz-kwa v ; f) h7mve.dius, and speed were all to double the tension required to maintain uniform circular motion would be

  07.22: A mass m is pulled outward untid t31lr2osy2rl the string of length L to which it is attached makes a 90- degree angle with the vertical. 31 r2doy trsl2 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 rigqpfhn8i 1 x(x6ht. Assume the car has speed v and the1q(h68nxx p fi tops and bottoms of the hills have radius of curvature R. The driver of the car is most likely to feel weightless:

  17.10: A 2000 kg car moves over a hq o7ag+d/r b1s0yc bp m)g66thill 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 td 7ga/yb)p 0hog6cs+b6rqm1the 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 circlenc/ :srjx(vfct8md k cq;*4+o at constant speed. The magnitude of the net force on the sv ;tr +c:d*cfocqjks (/4 x8nmphere

  11.47: A simple pendulum of length Lhasa point mass M relrq. 744g4fix o4obgmng) z(lveased 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 off7r il.nzo o4mg 4 g44gq)xv(b 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 connectedily,f rg8 t4x v1r)7ck to a string forms a simple pendulum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices correctly ranks the magn)8 1 vg ltx7kiy4rfc,ritude 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 fo.mxkqc3m2jp ,s la ga8cv. s27exz24urce of 5.0 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 made smaller, what happens to the speed v, and the frequency f, of the stopper?cc7mag .z22.x2 lse8p, 4m3x vqusjka

  05.28: A mass, M, is at rest on a frictionless surface, connected iyu2)dihc5 0yto 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 equili d)i hy0cu2y5ibrium and the mass 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 const(,hl49oeae:xdu,)g l )oh cl lant 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 (llcl l,) )xohog 9 ,:aee4hudit is at the lowest point of the circle?

  14.23:Two small identical coins (labeled X andY) are at reston a ho +k /bq0h+1cvucj 0a-apcth 6prizontal 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 d0c kt/jch1c b6- 0hvpup+aqa+isk 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 connezes0 uzqwvp;fp+i/39 cted to the end of string and moves about the string’s fixed end in a conical motion with a constant speed of 4.0 m/s. Tq;vfz/ s30iw +up z9ephe 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 circuqz p9gezl; wes5nb40(lar motion as shown in the figure. The string 5wn90 p(eq4el;bzz sgto 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 restyswr;pi, hq9;jeg l* 7 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest ab;hsy*iwjql e9,pr7 g;out 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 M3s d1c3ow qvx)*uhv. -drk8hb = 2.0 kg is attached a distance R =1.75 m from the fixed centh18xh3)rv u.bk*s-doqv3cdw er of 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.mp.q ufcee f1-c0 s5g1m(vp.b0 m/s. The object’s speed increases uniformly until it has moved counterclockwise through an ane m.1f. p-10s gf5v(eqm ccbpugle 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 pnr 5 b/ 1na)i*t:eiv rxbfa9:speed 17.0 m/s. The object’:e5 *fni:/)a1bavirp rnbt9xs 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 res,i i zl(cb:n1uts at the bottom 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 motion, it moves just fast enough for the block to remain in place in the bucket. Wuib (1l:z i,cnhen 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.