Physics Unit 1 Notes PDF

↑ Disg s studying m 0 -- & ↑ ion son / 1 seesea sea 18x sea...

↑ Disg s studying m 0 -- & ↑ ion son / 1 seesea sea 18x sea 1234 constant zero veroe accei Accelerating (er then i stopsi0 - - t Falling Object: Kinematics : (a constant) 17 = 2 xf = Vit + zat (Vyvp2 x + + · = v +at = = v.2 zalax) + y =0 S Example : Free-Fail ay =ug) ya gasie ay= (-g+) ay = -g T t Function y(t) 1 zgtz y(t) = - =?= derivative vy -It  Kinematic Eysi a v= = conser Jadt = afd + = a+ + L = = fvd + = fa+ + =dt = Eat + yz + X #Vf = v. + at * = x + Vit + Eatz Cer Accelerating : car goes Oe 60 mph in 5 see what is a? = =(104) = 0 6). a 3600 = 26 67. m/S Dragster : auHg = 119 8 m/s). How to travel It ? Istart from rest) long 1000 En e 0F = + += n s # 1000)t Final Speed ? - = 304 8 m. Vf = v: + at = 0 + H19 8) 13 an).. =mp 300 b dy Motion Hee-coupled Projective a = = = 0 -g : -S  tere How long is bball player in T of Motion is down t 25 # symmetrthe = Time to Fall In? ↑ Its 0 = 1 + 0 - Eg double ↓ tea : + Rocket Bolt Fells & Find of rocket : ay yf y+ vit zat = + + 0 0 Zayt?: Rocket y = + + 0 = y. + Ustz + tg)t : Bolt vete unknown a V+ Vi aytz = + ⑮zaytr ~ Box 1- on frictionless incline : age ? angsing ? Aor Free-tell : an -g = = - 9 8. mi Gang If 0 ther 00xa 0 = 0= If 0 9 : a= 0 gsing = ~ d Systems & Vectors ~. How ety ! may veriobies to localize an object z + ,. Poler coards : r cose = - = e sine=f tant Vector Components : A AxAcost Ay = Asine = ten() Displacement Vector : Adding Vectors : = It f A5p-Si Resultant Vector · * A +5 +5 + = Get  Vector laws: commutative laws : +B-5-t Associative Lew : -(5 +[ ) (+B ) +[ = Subtraction : -5 = 1 1-5) + Multiply by scori it et Unit Vectors : Dimensionless vector of magnitude 1 => specify direction = > 3 = x z= k y = = 3 (a) + -Enj Adding Vector components : = A + Ay 3 = 3 + By T = 1+ A Example) let y = 5 = ? 0 =? & # = 0= +m (E) ⑳ = Example) es yetl) = 53. E = 127 9. Dr b + - = : 180  Example) Run Im N , run. Mr We run im S How N for from where you started ? & What angle ? - +B + c = I = 0 1 - B =no = o -- / &. 0 9 2 = 0= 105 (t) = - +. 23 30We. M ↳ Displacement sirt : vector : At-Ti =+ (i) * Aug. Velocity: Instantaneous Velocity Example) Zat = -a) et = = Velocity 2-D : t=0 , 0 ↑ in = - = G+T - 4 972. + 1= , 5 = 57-4 95. , = 55 9 , · X = -. 8t a = 0-9 85.  2-0 Motion & Speed : [ed Aug Accel : = E Instantaneous Accel : = 2-D Motion Kinematics : -70L -------orbo y projecte mane How ? long is object in air " y=0 ay = -9. Sin/sa = 0 ] = ) Free-fall Motion Kinematic Eas: ~ Vit + Eat ? Eayt * y7 Y: vit + x + = + xf = : 0 = 1+ 0 + 59 8). = = Vector Kinematic Egs : Position:= x + y Velocity : -Vy] Accel : avay W H ↳ +itztfat & = constant ↑y eq S 2 & * = xi + vi ++ Ea + Ver = Vi + ext y = y: + vi + zate + eq. Vyf = Vyi dyt + ExampleEmpire & Need State v: Building Besebe Toa given Viesmpizimist &. Y: = How far? ? = Xi + Vit + Eat *= =- + 0 =n = 50ft Example) fire a bullet horizontally som to target - Foll 3 cm. oth = Speed of but How long does it take ? =? O X == Ax = 0 0= 50m Ay = -9. 81m/s y = Vyi 0 0 = yf. 03m ** = Vet y = yVytzayt y = 0+ 0-Egt y = -Egt= = Erin = to 7 9-10-2. t - 0 + 95 Horizontal Bullet v S.. dropped bullet : zigt-zag =t 1: Xf= Veit 2: 0= 0+0+ 0 Projective Motion: F : * Max 0 45 range = parabortGiven ↳ dy = - 9 81 els X: = 0 -. : ax = Omist y= = 0 2 Vi = V : COS Vy:= V: Sing * F = x - Vet-Eat = Ovicosot + O =f= v: cosot yf = y: Vyt + Zayt = Otv: singt-Egt * so Atvisnet-gt yetvising -zgd tune-gene = Example) How fast when wits it the ground ? Projective Motion: Got-- 2) How long in cit = --- b ) Final speed?. up ] = ↳ ~ VF = Lasx Vyf = Vy: -zayAx =14. Vi 32 = Vy:= 10 ms 17 32 /s. = Vy + 2(g)(0 1) J a 0 Vyp = - =ve vy-2gt F zvevgngnis Up= V=? + Vy: zg/ Vf =21-9 81) (45). t =?: Vf = 12 21 mis. Vi = 20 mis yf = y: + Vyt-Egt ? 0 = 1 + vi singt-Egt Egt"-visintt-- O = gt2 Zuisinot-2n 0 Zusine - = sin t =.Sin Sg Hu + 29 = 2(20 sin30n00 sir.(20) % = -slas 219 8). Relative Motion : al parobo Do To you ↳ a · N Galea velocity transformation : Two observers S : S S =) stationary s = ) moving a vo " Adding vectors · - Not + = = -ut = v = dR - -v You can add or substract velocities les vectors) ~ Ve 30 mph = Opt VoTFIOm 201Vpe140 Oobservere · FoEver Example) Boat on a River d= e5km Var + Vre = tz = 6 irs d VBeVre-Vbr = t z d Example) Boat crossing river e o Ve East Ver = 10 re Ve =? G= sin() 0 300 = d. dz simi Let : = zoom = 150m Vre = SmB Vsr=? Or ? How long to cross ? t= ? Yf Y: = + Vyit Aut d Vyit vyit 0 = 0 - = di +. = Varcos ** = *: Net-Eaxt2 dz = O + Vit +& Laws 12 Nons * Ure-Vaasinet Face E : Vector , units [NJ [Newtons] IN 1b. contect Forces : Friction , normal , springs tension, Nuclear field Forces : Gravity Electromagnetic , , Weak Nuclear, Strong what do forces do ? "Force causes motion" ) Force causes ecceleration = Net Force [F If &F 0 then a 0 Drive for e constant = = speed then a= 0 which means E 0 - constant = = · Fr  hares Free-Body Diagrams : 1) make object a dot 2) of interest Identify forces hanging from J --- Con these wires be horizontal ? No F Newton's 1"Low : (no external forces 1) objectset rest stay at rest. Objects & motion stay of motion. Net Force = 0 a 0 = avelocity = no = Fr Newtons and Law : 27 E = ma Forces cause acceleration. Net Force Constant Be Example) Two rubber bands accelerate &. How many rubber bands to accelerate E to Ja ? &f ) F= · ) If = = = = ma ma *ubber Ne - lama If we double the force whats our new ---------------- Exempie) Des a lamist let fat [ema Fi mai = Fr Maz = = Ens 2 = az = = Maz = ) aza Example) & ef Let my Some force Fire az ? Efina > ar - = 10m/s2 F = may F2 Maz = Fi = az = Example) De let Frmz= - an = cont alt ? = lonist Femal = Fraz = an Fi = m, az = az a. = E My force gravity ? D p Cen normal Elevator : Ace [F=Max afy = = 0= 0 may= negeese a A #arg Why is it downe n incline ? going * geine - Example) Launch Rocket front Efy ou May O = - & FyFirst Mg-Farg ge = Mays O Frust-mg Farag+ ↑