95.02: An object shown in the accompanying figure moves in uniform circular m4--drobugr gotp5a66 otion. Which arrow best depicts the net force acting on the object at the instant show-p rogbg5du4toa6-6 rn?

  05.31: A child is belted into a Ferris Wheel seat t 0 qwlyw+ k8vt/y*rzrfw jh+:lq,-bz+hat rotates counterclockwise at constant speed at an amusement park. At the location shown, which direction best +ql w8 v+wzrhj*yk: ,b/0+-tyzw rlqfrepresents the total force exerted on the child by the seat and belt?

  08.14: A particle cg--hnts b hto)d 7y1c-ontinuously moves 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 exactyn)hgh--t -otbcd 7s 1ly 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 cirlh x( m+8p8cefcular path at constant speed in a counter- clockwise direction. Consider a timp 8fe8 (xm+clhe 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 with constant (x5c yuwezb9/ speed around the vertical circle shown. Which arrow best indicates the dirzb( 9exw5cy u/ection of the object’s instantaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mi0xluv* rbesf e zrezio+ r5* j.j t483nxj06)ass 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 the figure, at which lettered point on the panvrozx5+* 8fjj i)i.r*3 60e04x jtlrbse z euth should she let go of the string?

  15.23: A car moves with constant speed around a horseshoe-5t 8d6fiuh7ii oum:6(k g fg s9rgo95dshaped path as shown with the arrows 7 o(id gmi 9u 86 6ihrug5t5sfo:kd9fgin the figure. 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 anj6;01i lu5 m gp3rrbri 0zhxx4 experiment with a simple pendulum that is released from the horizontal position at rest. At the mo m 0 xuzjgr0; 36r4i1phl5rbximent 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) 8u. e4s2eqrlbrfq 0y0 point-like object rests 2.0m from the center of a rough turntable 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 thle.4b8r0ys2uqfq r0 e e magnitude of the force of friction acting on the object?

  07.19: What net force is necessary to keep a 1. 0 kg pl vsorv(3r n*1uck moving in a circle of radius 0.5 m on a horizontal frictionless surfl vsr*(1nvor3 ace with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (masss lcuc3; g(j9si1.mou = 50 g) on the end of an 80-cm string rotating at a constant rate of 4 times a secosuoiu;.s13 c9(mc jl gnd?

  09.24: A point mass moves along a horizontal circular path of radiu j0tv.0p ebws5cz6hcqb r;* ,gs 0.8m with a constant kinetic energy of 128tbrhwpc5 seb0q.jg0c ,v; 6z* J. 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 0.8o2v mdsl- 1f,l0 m string and whirled in a horizontal circle at a constant speed of 6.0 m/s.,vds-lfom 12l 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, in a unix w+h+0okcgf pg93m0y form circular motion. Which+0 +wxhggokf03cm9yp of the following statements is NOT true?

  00.19: An astronaut in an orbiting space0i thcy+ak.u 8 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, and the tension in the string is F. If the mass, radius, and speed were allc+ih80yk. at u to double the tension required to maintain uniform circular motion would be

  07.22: A mass m is pulled outward until the string ofzxgifn . vcj4t9jbyure27+5:6g9n 4is.k ont 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 string when the mae5.9ogjfbn.i+j4: is nuc t9ntr2z4v7 6kgxyss swings through the bottom ofthe arc?

  94.15: A car is traveling on a road in hilly terry0 p6wv hcmr*to6np(u3w.b3/i cep6e b,dyu5ain, see figure to the right. Assume wh ppd5*0,ub mvte6/n.3cwb 6y p(yuoire 6c3the 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 weightless:

  17.10: A 2000 kg car moves ov+3;nce c7nsfq)m7c bher 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 radic 3n )fcsbcn;mh +7qe7us 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 circl8 yc) aophhv./e at constant speed. The magnitude of the net force on thea./hpvy )8coh sphere

  11.47: A simple pendulum of length Lhasa point mass;:mj+sz lm(unvhh1l:; c bjy/ M released from rest from the horizontal position shown. In the absence of air resistance and frict;( u b:/hjlvsy:mzlm+jh ;cn1ion, 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 a simple pendulum. The ma/ hl8s qk;pbq+y,4h xz6; 2msbj6mi dgss 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 pm +/x bqiy6j 8bs42d,h ;zlgsmqk;6hthe mass swings through its lowest point?

  04.41: A centripetal force of 5.0 newt,/9 y yw9ootipons 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 frequ yi ,9w9/optyoency f, of the stopper?

  05.28: A mass, M, is a q;7fkwy/+ c6wfy gvi2t 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 spring is extended back 30 cm from equilibrium, what is thqyik6fw2cy;g7 v/w f+e necessary force applied by the person to hold the mass stationary there?

  12.22: A girl swings a 41sm)le1pv 1tr .0 kg mass 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 lowest point of the circle?v el)m1s t1pr1

  14.23:Two small identical coins (labeled X andY) are at reston a hoq3, j 9 sja)d5(nxvnfq-4eil6u1rmctrizontal disk rotating at a constant rate about an axis perpend5 v j3x 1lisqd4jmtn)(cqen9-6,fau r icular to 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 trzs:d,uy yqh ,pa(i5 1he end of string and moves about the string’s fixed end in a conical motion with a constas(i1d :a ,uz y,rqph5ynt speed of 4.0 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 figure.9f1i *zvsgjb 8g6hwz, The string to which the mass is attached has a length of L = 3.00 m an6*,sb 91 gfvwzgi zjh8d 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 -h ksa2y p6*0qi gctxfwip.qm5 94pr- cm from a horizontal disk’s center. The disk starts to rotate from rest about its center with a constant angular accelerationwh rpcxkm69pq2i tgs40p-.*f 5 -aq yi 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 distan0w o e+jv1r-iwce R =1.75 m from the fixed center of a disk 1ei0vr+o- jw was 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 ynu25e c+naz+vcv;t3 6i o9gt 17.0 m/s. The object’s speed increases uniformly until it ha63tt+;vu2e5czvn+ 9cg yianos 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, star-sien+ t97wyi ting at the top, with initial speed 17.0 m/s. The object’s-s+tniiye w79 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 rests82l tq2z3h2(mr387yv cingnh j f u6fe+0z jkr 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 fas ujmq2 lci0 f2h+f3r6k(t n2enrg8zjzhv873yt 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.