Physic 231 Lecture 6. Main points of today s lecture: Trajectories of objects in 2 dimensions:
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1 Main poins of oda s lecure: Trajecories of objecs in dimensions: Relaie Veloci Phsic 31 Lecure 6 Main poins of las lecure: Two dimension coordinae ssems Vecors and componens Trajecories of objecs in dimensions: ( ) g g g o ( ) g g g o he " moing"frame he eloci of is he eloci in he " moing"frame is he eloci in he "saionar" frame is +
2 eample A moorccle daredeil is aemping o jump across as man buses as possible (see he drawing). The akeoff ramp makes an angle of 18. aboe he horizonal, and he landing ramp is idenical o he akeoff ramp. The buses are parked side b side, and each bus is.74 m wide. The cclis leaes he ramp wih a speed of 33.5 m/s. Wha is he maimum number of buses oer which he cclis can jump? 33.5 m/s.74m Which 33.5 equaion m/s for erical moion θ 18 should one use? o a) b) c) d) g 1 1 g g ( + ) o
3 eample A small can is hanging from he ceiling. A rifle is aimed direcl a he can, as he figure illusraes. A he insan he gun if fired, he can is released. Ignore air resisance and show ha he bulle will alwas srike he can, regardless of he iniial speed of he bulle. Assume ha he bulle srikes he can before he can reaches he ground. line of sigh θ grai
4 Relaie eloci Chuck pracices hrowing a newspaper in his fron ard. He finds ha he can hrow a newspaper a 4 km/hr. The ne da he goes wih Al on his paper roue. He sands in he bed of Al s pickup ruck which is moing Wes a 4 km/hr. He see Ms. Jones sanding on he sree as he passes her and hrows her a newspaper. Relaie o he ruck, he newspaper moes Eas wih a eloci of 4 km/hr. Wha is he eloci of he newspaper relaie o Ms. Jones? a) km/hr paper _ relaie _ o _ ground b) 8 km/hr due wes c) 8 km/hr due eas d) don know ruck + paper _ relaie _ o _ ruck paper _ relaie _ o _ ground 4 4 ruck paper relaie o ruck paper relaie o ground 4 km/hr Wes 4 km/hr Eas -4 km/hr Wes?
5 Quiz Chuck looks ahead and sees Grandpa Harper. He hrows him a newspaper oer he op of he hood o him. The ruck is sill moing 4 km/hr due Wes. Relaie o he ruck, he newspaper also moes Wes wih a eloci of 4 km/hr. Wha is he eloci of he newspaper relaie o Grandpa Harper? a) km/hr paper _ relaie _ o _ ground b) 8 km/hr due wes c) 8 km/hr due eas ruck + paper _ relaie _ o _ ruck d) don know 8 paper _ relaie _ o _ ground km/hr Wes ruck paper relaie o ruck 4 km/hr Wes 4 km/hr Wes paper relaie o ground?
6 relaie eloci problems Label each objec b a leer ha reminds ou of wha i is (for eample p for paper, g for ground, for ruck). Look for phases such as "he eloci of he paper relaie o ruck" and wrie he eloci as: paper pg _ relaie _ o _ ruck r g + p p Take he hree elociies and assemble hem ino an equaion such as; Sole for he eloci ou wan. Noe ha hese elociies need no be parallel. You ma need o sole wo equaions, one in he direcion and anoher in he direcion.
7 Eample Two boamen hae equall fas boas. The hae a race o see who can cross a rier in he leas ime. Boaman A dries upsream a an angle o he curren and lands on he far shore direcl opposie he saring poin. Boaman B dries perpendicular o he curren and lands on he far shore downsream of he saring poin. Boaman A wins he race because he goes he shores disanc a) True b) False c) There is insufficien informaion o answer he quesion.
8 Eample wes A ferr boa is raeling in a direcion 35.1 o norh of eas wih a speed of 5.1 m/s relaie o he waer. A passenger is walking wih a eloci of.71 m/s due eas relaie o he boa. Wha is he eloci (magniude and direcion) of he passenger wih respec o he waer? bw 5.1 m/s pb.71 m/s eas θ pw pb.71 m/s 35.1 o bw, bw, bw 5.1 m/s
9 Eample Two cars A and B, are raeling in he same direcion, alhough car B is 186 m behind car A. The speed of B is 4.4 m/s and he speed of A is 18.6 m/s. How much ime does i ake for B o cach A? 4.4 m/s 18.6 m/s A B A B 18.6 m/s 4.4 m/s 186 m
10 eample Mar makes a be wih Sall abou who can hrow a sofball he farhes. She wans o win. Assuming ha she can hrow he sofball a 3 m/s, wha angle aboe he horizonal should she hrow he ball o achiee he greaes disance? a) 15 degrees b) 3 degrees c) 45 degrees d) 6 degrees 3 m/s
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