1. A 4.00-kg stone is whirled at the end of a 2.00-m rope in a horizontal circle at a speed of 15.0 m/s. Ignoring the gravitational effects;

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1 Honors Physics Centripetl Pcket kg sne whirled t end 2.00-m rope in horizontl circle t speed 15.0 m/s. Ignoring grvittionl effects;. Clculte centripetl ccelertion B. Clculte centripetl force kg cr moving t 86.0 km/hr goes round curve 325 m rdius.. Wht centripetl ccelertion? B. Wht centripetl force on cr? 3. n electron moving t speed 2.00 X 10 6 m/s in circle rdius 0.05 m. Wht force on electron? 4. boy sits on edge polhed wooden dk. The dk hs rdius 3.00 m nd coefficient friction between h pnts nd dk Wht mximum speed dk t moment boy slides f? kg cr begins skid when trveling t 80.0 km/hr round level curve 125 m rdius. Find centripetl ccelertion nd coefficient friction between tires nd rod. 6. morcyclt goes round curve 100-m rdius t speed 95.0 km/hr, without lening in turn.. Wht must coefficient friction between tires nd rod be in order supply necessry centripetl force? B. If rod iced nd morcyclt cn not depend on friction, t wht ngle from verticl should morcyclt len supply necessry centripetl force? 7. t wht ngle should highwy be bnked for crs trveling t speed 100 km/hr, if rdius rod 400 m nd no frictionl forces re involved?

2 6 Honors Physics Centripetl Pcket 6.8 Newn's Lw Universl lb cr begins skicl when trveling t 60.0 mph round" level Grvittion curve SOO-ft rdius. Find 20. Two lrge metl spheres re centripetl nd 8. ccelertion 5.0 kg mss 1.00 m from seprted 10.0 kg by mss. dtnce 2.00 m coefficient friction between from center center. If ech sphere tires nd rod. hs mss SOOOkg, wht kg cr. begins skid when grvittionl force tht 5.0 kg mss exerts on 10.0 kg mss? Wht grvittionl force between m? trveling t 80.0 km/hr round 21. S.OO-kg mss 1.00 m from level curve 12S-m rdius. Find Wht mss exerts on 5.0 kg mss? B. Whtnd grvittionl10.0-kg forcemss. tht() 10.0-kg centripetl ccelertion grvittionl force tht S.OO-kg coefficient friction between mss exerts on 10.0-kg mss? tires nd rod. C. If both msses re free wht will ir initil ccelertion be? (b) move, Wht grvittionl force 13. t wht ngle should bobsled turn tht 10.0-kg mss exerts on be bnked if sled, moving t 26.0 S.OO-kg mss? (c) If both msses re m, 9. Three round point turn msses rdius kg, 20.0 kg, nd 30.0 kg re locted on line t 10.0 cm, free move, wht will ir initil m? ' 50.0 cm, nd 80.0 cm, respectively. ccelertion be? 14. morcyclt goes round curve 22. Three point msses 10.0 kg, ft rdius t speed 60.0 kg, nd 30.0 kg reon locted on line mss, Find resultnt grvittionl force 10.0-kg mph, without. lening in turn. t 10.0 cm, SO.Ocm, nd 80.0 cm, () Wht must coefficient respectively. Find resultnt friction between tires nd grvittionlforce forceon on () 10.0-kg mss, B. Find resultnt grvittionl 20.0-kg rod be in order supply mss, (b) 20.0-kg mss, nd necessry centripetl force? (b) If (c) 30.0-kg mss. rod iced morcyclt C.ndFind resultnt grvittionl 30.0-kg mss. 23. Pete meetsforce Eileen on for first time cn not depend on friction, t wht nd immeditely ttrcted her. ngle from verticl should If Petend hs mss 7S.0 kg nd ttrcted her. If Pete hs 10. Pete for first time immeditely morcyclt lenmeets supplyeileen Eileen hs mss SO.O kg nd necessry mss centripetl force? 75.0 kg nd Eileen hsy mss 50bykg nd y re seprted by dtnce re seprted dtnce 15. morcyclt goes round curve 3.00 m, ir ttrction purely 3.00 m, ir ttrction purely physicl? 100-m rdius t speed 9S.0 physicl? km/hr, without lening in turn. () Wht must coefficient friction between tires nd rod be in order supply necessry centripetl force? (b) If rod iced nd morcyclt cn not depend on friction, t wht ngle from verticl should morcyclt len supply necessry centripetl force? 16. t wht ngle should highwy be bnked for crs trveling t speed 3m 60.0 mph, if rdius rod 1000 ft nd no frictionl forces re involved? 24. Wht grvittionl force 17. t wht ngle should highwy be between pron nd n electron in 11.for Wht grvittionl force between pron nd n electron in hydrogen m if bnked crs trveling t speed hydrogen m if y re seprted 100 km/hr, seprted rdius by dtnce y ifre 5.29x S by dtnce X m? m? rod 400 m nd no frictionl forces re involved? The ccelertion Due 12. rock ttched from ro moving trin. If trin trveling 18. n irplne flying in circle with 6.hngs Grvity speed knots. ( knot t mph round level curve 500 ft rdius, find ngle tht mkes nuticl mile per hour.) The ircrft 25. Wht vlue g t dtnce with verticl. weighs 2000 Ib nd bnked t n from center erth () I ngle Find rdius erth rdius, (b) 2 erth rdii, (c) 10 turn in feet. erth rdii, nd (d) t dtnce 19. n irplne flying in circle with moon? speed 6S0 km/hr. t wht ngle with horizon should pilot mke turn rdius 8.00 km such tht component lift ircrft supplies necessry centripetl force for turn? vittion, nd Stellites 185

3 h y d e f n dditionl Problems t42. rope ttched pil wter terms its weight t surfce nd pil n rotted in t36. rock ttched hngs erth, t dtnce from verticl circle 80.0-cm rdius. from ro moving trin. If center erth () 1 erth Wht must minimum speed trin trveling t 50.0 mph rdius, (b) 2 erth rdii, (c) 10 erth pil wter be such tht round level curve 500-ft rdius, rdii, nd (d) Physics t dtnce Honors Centripetl Pcket wter will not spill out? find ngle tht mkes moon? How cn n object in 43. mss ttched nd with verticl. stellite, t sy 2 erth rdii, be swung in verticl circle. t considered be weightless? prticulr instnt mss moving 27. Clculte ccelertion grvity t speed v, nd its velocity vecr on surfce Mrs. Wht would mkes n ngle 0 with horizontl. mn who weighs 180 Ib on erth Show tht norml component weigh on Mrs? ccelertion given by U8. It yer 2020 nd bse hs T + w sino = rnv2/r been estblhed on Mrs. n enterpring businessmn decides nd tngentil component buy cfee on erth t $5.00/lb nd ccelertion given by sell it on Mrs for $1O.00/lb. How T = -gcoso much does he mke or lose per Ib Hence show why th motion in when he sells it on Mrs? Ignore verticl circle not uniform circulr cost trnsporttion from erth motion. Mrs. t N bll ttched 29. The sun's rdius 110 times tht 1.00 m long moves in horizontl erth, nd its mss 333,000 circle. The mkes n ngle times s lrge. Wht would be dditionl Problems t42. rope ttched pil wter 60.0 with verticl. () Find weight I.OO-kgobject t nd pil n rotted in t36. rock ttched hngs 37. Find centripetl force due tension in. (b) Find surfce sun, ssuming tht it verticl circle 80.0-cm rdius. from Find ro centripetl moving trin. If rottion erth cting on 13. rottion erth cting on 100 kgperson component tension tht does not melt or' evporte re? force due Wht must minimum speed trin trveling t 50.0 mph 100kgpil person t ()besuch equr, supplies necessry centripetl wter tht round level curve 500-ft rdius, (b)wter 45.0 will force. (c) Find speed bll. notltitude, spill out?nd (c). t find ngle tht equr mkes Stellite Motion pole. 43. mss ttched nd with verticl. 38. Find resultnt vecr ccelertion 30. Wht velocity moon swung in verticl circle. t by instnt ccelertion duemoving B. t round erth in 45.0 circulr orbit? ltitude cused prticulr mss grvity nd centripetl Wht time for one revolution? t speed v, nd its velocity vecr ccelertion for person locted t 31. Clculte velocity erth in mkes n ngle 0 with horizontl. C. t pole. () equr, (b) 45.0 n pproximte circulr orbit bout Show tht norml component ltitude, nd (c) sun. Clculte time for one ccelertion given pole. by t39. pilot who weighs 180 Ib pulls out revolution. 14. rope ttched pil wter nd+ pil w tsino rnv2n /rlong rotted in verticl circle verticlt dive 400=mph 32. stellite orbits erth 700 mi 80.0-cm rdius. Wht must minimum speed pil n rc circle 5280-ft rdius. nd tngentil component wter be such tht bove surfce. Find its speed nd Find centripetl ccelertion, ccelertion given by its period revolution. wter will not spill out? centripetl force, nd net norml 33. Clculte speed stellite T = -gcoso force on pilot t botm orbiting 100 km bove surfce N bll ttched 1.00 m long dive. Hence show why thmoves motion inin horizontl circle. The Mrs. Wht its period? verticl circle not uniform circulr t34. n pollo spce cpsule orbited mkes n ngle 60.0 with motion. verticl. moon in circulr orbit t height 45. mss rn = 35.0 g on smooth t N bll ttched 112 km bove surfce. The Findorbit, tension in. horizontl tble. It connected by 1.00 m long moves in horizontl time for one. complete tht psses through center circle. The mkes n ngle period T. ws 120 min. Find 60.0 with verticl. () Find tble mss rnb = 25.0 g. mss moon. B. Findforce component tension force. orbits centripetl. t wht uniform speed should rn tension in tht.supplies (b) Find centripetl t Find stellite erth indue rottion erth cting on move in circle rdius r = 40.0 component tension tht circulr orbit in 130 min. Wht 100 kg person tfind () cm such tht mss rnb remins equr, bll.supplies necessry centripetl dtnce C. stellite speed (b) 45.0 ltitude, nd (c) motionless? force. (c) Find speed bll. center erth? Wht its pole. t46. Three point msses 30.0 kg, 50.0 height bove surfce? Wht its 38.speed? Find resultnt vecr ccelertion kg, nd 70.0 kg re locted t cused by ccelertion due kg pilot pulls out verticl vertices n equilterl tringle grvity nd centripetl dive t 685 km/hr long n rc 1.00 m on side. Find resultnt ccelertion for person locted t circle 1500-m rdius. Find grvittionl force on ech mss. () equr, (b) 45.0 centripetl ccelertion, centripetl t47. Four metl spheres re locted t ltitude, nd (c) pole. force, nd net force on pilot corners squre sides t39. pilot who weighs 180 Ib pulls out t botm dive. m. If ech sphere hs mss 10.0 verticl dive t 400 mph long t41. Wht minimum speed n kg, find force on sphere in n rc circle 5280-ft rdius. irplne in mking verticl loop lower right-hnd corner. Find centripetl ccelertion, such tht n object in plne will centripetl force, nd net norml not fll during pek loop? \ force on pilot t botm The rdius loop 1000 ft. dive kg pilot pulls out verticl 45. mss rn = 35.0 g on smooth horizontl tble. It connected by tht psses through center tble mss rnb = 25.0 g.. t wht uniform speed should rn move in circle rdius r = 40.0 cm such tht mss rnb remins motionless? t46. Three point msses 30.0 kg, 50.0 kg, nd 70.0 kg re locted t vertices n equilterl tringle Mechnics

4 Honors Physics Centripetl Pcket 1. Mr. Gobbles (Mss = 4kg) swinging from rope (length = 2.3m). If t botm verticl circulr pth speed Gobbles 5.9 m/s, find tension in rope. T= 2. Wht minimum speed get Gobbles over p? Hint: Wht tension would be in if Gobbles just mkes it round circle? Tmin= vmin=

5 Honors Physics Centripetl Pcket 5. For more fun, turkey (Mss = 11kg) goes on ride t elementry school plyground (rdius = 2.3m). Find gretest velocity he cn hve if coefficient friction for ride nd turkey V = 6. turkey (mss = 6kg) spinning round on n ice pond μ = 0, tied rope (length = 8m). How mny times does bird circle ech minute, if bird feels centripetl ccelertion 5 g? v = rev/min =

6 Honors Physics Centripetl Pcket 3. strnge mn (m = 80 kg) in turkey costume goes on Ror ride (r = 3.2m). s y lower floor ride, ride completes turn every 4.1 s. Wht necessry vlue μ so tht turkey-mn will not fll? v = μmin = 4. Th turkey (m = 10kg) on sfer ride t musement prk. s ride opertes, chin cretes 75 o ngle with ground, nd pth with 3.9m rdius. Find tension in chin, nd velocity turkey T = V =