95.02: An object shown in the accompanying figure moves in unif) 4cmw/ ) dlu1il5jwol-g)pv norm circular motion. Which arrow best depicts the net force acting on the object at the ijw 1w)-o 4n)5g/ ll)umcv dilpnstant shown?

  05.31: A child is belted into a Ferris Wheel seat that rota: 8uck4 ,d3bc5a tayi,rag7 ix:-yxhrtes counterclockwise at constant speed at an amusement park. At the location shown, which direction best represents the total force exerted on the child by the5: ya 7:giay-,u dh bctcxri3,k4 x8ar seat and belt?

  08.14: A particle continuouslkp 89/)( 6xf fbtqpievy moves in a circular path at constant speed in a counter- clockwispb9vkip )t 6(/e xq8ffe 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 moiffbx8ktv 7b .w8-zs: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. Point7ik8xz8-ts:bfw .v f b 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 clockwiseqt w cvo f455,gqvf0a8 with constant speed around the vertical circle shown. Which arrow best indicates the direction of the object’s insta4cvo v,g ffqta w558q0ntaneous
acceleration at the point labeled X?

  12.11: A girl twirls a small mass connected v23 n;k6pmh2 hjrm y(eto 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 girvye(22rmh;hp m k6j 3nl 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 witrr.yd+b fx;p8 ;njl8 nh constant speed around a horseshoe-shaped path as shown with the arrows in the figure. Which one of the following choices best describesb8d l+rnjp;fryx.;n 8 the direction of the average acceleration of the car in traveling from Wto X?

  08.35: Astronauts on the Moon p;efg0;;s5v j; keolazo 6ec a.erform an experiment with a simple pendulum that is released from the horizontal position at rest. At the moment shown in the diagram with o ;f. 6caz;ej 5e;ok0glvs; ae $0^{\circ} < \theta < 90^{\circ}$ , 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 g, pmyaz9q5; w2.0m from the center of a rough turntable as the turntable rotates. The period of the turntable's rotation is 5.0 seconds. Tg5qy 9,m;wzpa he 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 necx8 55q7 lnxz6kzkua p.essary to keep a 1. 0 kg puck moving in a circle of radius 0.5 m on zxx5 8zln7.kaup5q6 ka horizontal frictionless surface with a speed of 2.0 m/s?

  05.03: What is the centripetal acceleration of an object (mao/,)a-spr/yqdv57ehe9vc7ch9e fnc ss = 50 g) on the end 57h9)rysecc7ef9 aeq /ovn ,vphd/ - cof an 80-cm string rotating at a constant rate of 4 times a second?

  09.24: A point mass moves along a horizontal cilrer+bj8s)2k/*x3gr0xrj 3m y ed3kircular path of radius 0.8m with a constant kinetic energy of 128J. Wj+xlsgxyk2)je meirkr * b3d0 83r3r/hat 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 horizln9den7 */cqyontal circle at a constant speed of 6.0 m/s. See fi9q/yn nel*d 7cgure 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 uniform circu;+g37 1z devmjo9on rqhe ,,pklar motion. Whichk od jmpe +e7v;or1,9qhnz, 3g of the following statements is NOT true?

  00.19: An astronaut in an orbiting space craft attaches a jhd0 v40w.hf wmass 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 th.v h 0j04wdhwfe 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 sb2ym+b cx 2b*,vrw/qhtring of length L to which it is attached makes a 90- +b* b2/bqx h,my wvcr2degree 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 mass swings through the bottom ofthe arc?

  94.15: A car is traveling on a road in hilly terrain, see figure c/mimrnw.- r ivvhg1hc2h4(. to the right. Assume the car has speed v and the tops and bottoms of the hills have radius of curvature R. The driver of the car ihr.1i-42vchmmvr c w i hng(/.s most likely to feel weightless:

  17.10: A 2000 kg car moverc+jrgs*-* ew prmk( 4o++tgh s over a hill at a constant speed of 12.0 m/s. At the very top of the hill, the shape of the road can bewmrp4j(*+ etk+ sr-+cr go*h g 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 co, srt r1i5msik0mo42n nstant speed. The magnitude of the n4io0ss2mni kr1, r5m tet force on the sphere

  11.47: A simple pendulum3t hi 1-)ak a6so.luoa of length Lhasa point 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 masalik u- 3stohaa .)61os (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 str4tk(gj xma .x+k li(n.ing forms a simple pendulum. The mass is released from rest and undergoes simple harmonic motion. Which one of the following choices cor(+ (.gjmn xi xt4ak.klrectly 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 4 t ,)/qcd-g1jteee/y/ tpzyp is applied to a rubber stopper moving at a constant speed in a horizontal circle. d,cg) p1/ e/tzt-ye4/pyeq t jIf 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 aab:w 2.wqtmf + 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 1:+tm.a2w qbw f0 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 the necessary force applied by the person to hold the mass stationary there?

  12.22: A girl swings a 4.0 kg masw)eqtqi7 og( ,s with a constant speed of 3.24 m/s in a vertically-oriented circwg)e7it( qqo ,le of radius 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 identical coins (labeled X andY) are at reston a horizon(c;qx.: u,prv gbrqaw-1u pu2tal disk rotating at a constant rate about an axp g r.u :rpxa ,qv1u;2c(ubwq-is perpendicular 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 rydnl7*w 4 laxn4o9l)* :pjml connected 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. The string has a l7na:pydj w*lr l 9lo4n)4x*lm ength 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 undtb(kdbj t1x8a3h,) m iform circular motion as shown in the figure. The string to which the masjtam(kxb 1 t,8d 3)hbds 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 iavomk - ahrg e:t,,).ts at rest 30.0 cm from a horizontal disk’s center. The disk starts to rotate from rest about its center w:ta g ohrtke mv)-,,a.ith 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 ky(0j35sj/v3k: hil+6 mp zt,htlm t rng is attached a distance R =1.75 m from the fixed center of a disk as shown in the figure. The dhl 3jn3vk5tms:h z/(,t6lip 0 t+mjyrisk 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:2:s +n nl1u4 mw*nrkihhpi +d-nic*c a circle, starting at the top, with initial speed 17.0 m/s. The object’s speed increases uniformly until it u-hrnhpwcs1*d:i 2l nn:imkn +i*4c + 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 spbipl6er j81k: eed 17.0 ml8 :ekip6 rj1b/s. The 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 of a bucket. The bucket is spunp80a8nj6 :rc3rml8fhxqp1wqr s2 ( gz 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 blocxp8:rls 80hqmrqw 3ra8zg1(pj 2cnf6 k 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.