DEVIL PHYSICS BADDEST CLASS ON CAMPUS IB PHYSICS

Transcription

1 DEVIL PHYSICS BADDEST CLASS ON CAMPUS IB PHYSICS

2 LESSON -1C PROJECTILE MOTION FLUID RESISTANCE

3 Inroducion Videos Projecile Moion 1 Useful Applicaions of Projecile Moion

4 Essenial Idea: Moion ma be described and analzed b he use of graphs and equaions.

5 Naure Of Science: Obseraions: The ideas of moion are fundamenal o man areas of phsics, proiding a link o he consideraion of forces and heir implicaion. The kinemaic equaions for uniform acceleraion were deeloped hrough careful obseraions of he naural world.

6 Inernaional-Mindedness: Inernaional cooperaion is needed for racking shipping, land-based ranspor, aircraf and objecs in space.

7 Theor Of Knowledge: The independence of horizonal and erical moion in projecile moion seems o be couner-inuiie. How do scieniss work around heir inuiions? How do scieniss make use of heir inuiions?

8 Undersandings: Projecile moion Fluid resisance and erminal speed

9 Applicaions And Skills: Analzing projecile moion, including he resoluion of erical and horizonal componens of acceleraion, eloci and displacemen. Qualiaiel describing he effec of fluid resisance on falling objecs or projeciles, including reaching erminal speed.

10 Guidance: Calculaions will be resriced o hose neglecing air resisance. Projecile moion will onl inole problems using a consan alue of g close o he surface of he Earh. The equaion of he pah of a projecile will no be required.

11 Daa Bookle Reference: u a s u 1 a u as u s

12 Uilizaion: Diing, parachuing and similar aciiies where fluid resisance affecs. The accurae use of ballisics requires careful analsis. Quadraic funcions (see Mahemaics HL sub-opic.6; Mahemaics SL sub-opic.4; Mahemaical sudies SL sub-opic 6.3). The kinemaic equaions are reaed in calculus form in Mahemaics HL sub-opic 6.6 and Mahemaics SL sub-opic 6.6.

13 Aims: Aim : much of he deelopmen of classical phsics has been buil on he adances in kinemaics

14 Aims: Aim 6: eperimens, including use of daa logging, could include (bu are no limied o): deerminaion of g, esimaing speed using rael imeables, analzing projecile moion, and inesigaing moion hrough a fluid

15 Aims: Aim 7: echnolog has allowed for more accurae and precise measuremens of moion, including ideo analsis of real-life projeciles and modeling/simulaions of erminal eloci

16 One Dimensional Moion WHERE WE VE BEEN

17 Horizonal Moion

18 Kinemaic Equaions for Horizonal Moion

19 Verical Moion Drop Problems

20 Verical Moion wih Verical Veloci

21 Kinemaic Equaions Horizonal Verical 1 a a a 1 a a a

22 Kinemaic Equaions IB Sle u a s u 1 a u as u s

23 WHERE WE VE BEEN

24 Vecors and Scalars

25 Vecor Addiion - Graphicall

26 Vecor Subracion - Graphicall

27 Breaking Vecors Down Ino Componens

28 Adding Vecors Using Componens

29 PUTTING IT ALL TOGETHER

30 Two Dimensional Projecile Moion Case 1

31 Two Dimensional Projecile Moion Case

32 Thanks, Galileo

33 One Ke Finding The ime i akes for an objec o fall from a gien heigh is he same wheher i is simpl dropped or if i begins wih a horizonal eloci. Demonsraion

34 Kinemaic Equaions Horizonal Verical 1 a a a 1 a a a

35 Assumpions We consider moion onl afer i has been projeced and is moing freel hrough he air We don consider he acceleraion i ook o reach ha eloci We consider air resisance o be negligible When he objec is moing hrough he air, boh horizonall and ericall, i doesn slow down due o air resisance

36 Make he Mah Easier No horizonal acceleraion, horizonal eloci remains consan Y-ais posiie up, grai negaie down Acceleraion in Parabolic Moion 1 a a a 1 a a a

37 Kinemaic Equaions for Projecile Moion g g g 1 1 a a a 1 a a a

38 Kinemaic Equaions for Projecile Moion g g g 1 u s u 1 u s gs u g u s g u

39 Problem Soling Process Era Seps 1. Read he problem carefull and draw a picure. Choose origin and - coordinae ssem 3. If gien an iniial eloci, resole i ino - and -componens. 4. Analze horizonal () and erical () moion separael 5. Coninue wih problem soling process for kinemaic equaions

40 MANIPULATION OF VARIABLES PROJECTILE MOTION SIMULATOR

41 Fluid Resisance Fluid resisance, or drag force, acs opposie o he direcion of moion. The force due o drag is gien b he equaion (no esable) For our purposes, fluid resisance is proporional o eloci a low speeds and eloci squared a high speeds F D F F D D 1 C k D k A

42 Effec of Fluid Resisance

43 Fluid Resisance Sequence of eens: An objec sars falling under he force of grai wih acceleraion of 9.81 m/s and no resisance As eloci increases, fluid resisance increases and acceleraion decreases Eenuall, he objec reaches a speed where fluid resisance equals he force of grai, acceleraion has decreased o zero, and eloci is consan This consan eloci is known as erminal eloci or erminal speed

44 Terminal Veloci The equaion for erminal eloci based on he drag force is gien o he righ F F T D D 1 mg C mg C A D D A For our purposes, we will assume low speed (F D ) and erminal eloci will be k T T 1 mg C A C mg k D D A

45 Daa Bookle Reference: u a s u 1 a u as u s

46 Applicaions And Skills: Analzing projecile moion, including he resoluion of erical and horizonal componens of acceleraion, eloci and displacemen. Qualiaiel describing he effec of fluid resisance on falling objecs or projeciles, including reaching erminal speed.

47 Undersandings: Projecile moion Fluid resisance and erminal speed

48 Essenial Idea: Moion ma be described and analzed b he use of graphs and equaions.

49 QUESTIONS?

50 Homework Pg , #5-33

51 Weighlessness On Skis On A Moorccle Sphere of Deah