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test 1 last year

# test 1 last year - Name P2601(Spring 2010 Individual Exam 1...

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Name: ________________________________ P2601 (Spring 2010) Individual Exam 1 Time flies like an arrow; fruit flies like a banana. --Groucho Marx Possibly Useful Formulas: 1 in=2.54 cm, 1kg~2.2 lb; 2 2 2 2 cos c a b ab C = + ; sin sin sin a b c A B C = = ; hyp 2 =opp 2 +adj 2 ; SOHCAHTOA; circle area= π r 2 , circumf=2 π r; sphere vol=4/3 π r 3 , area=4 π r 2 ; If ax 2 +bx+=0 , then 2 4 2 b b ac x a ± = ; i t t t Δ = ; f i x x v t = Δ ; f i v v a t = Δ ; x=x i + v Δ t; v=v i + a Δ t ; 0 lim inst t v a t Δ → Δ = Δ ; 0 lim inst t x v t Δ → Δ = Δ For constant a: 2 i f v v v + = ; x x i =v i t+ 1 2 at 2 ; x x i =v f t 1 2 at 2 v x 2 =v xi 2 +2a x (x-x i ); 2sin θ cos θ =sin2 θ ; sin 2 θ +cos 2 θ =1 ; use g=10m/s 2 ; Projectiles: For θ measured from the +x axis: v x = v cos θ , v y = v sin θ , tan θ = v y / v x ; ( ) 0 cos x v t θ Δ = ; ( ) 2 0 1 sin 2 y v t gt θ Δ = ; F D = ½ C D ρ Av 2 (gases) 2 2 2 0 tan cos g x y x v θ θ Δ Δ = Δ ;a centrip = v 2 /r= ω 2 r; T=1/f=2 π/ω ; Forces: Σ F =m a ; F AB = F BA , f k = μ k F N , f s μ s F N ; μ =tan θ max ; Atwood pulley system : 2 1 2 1 1 2 1 2 ( ) ; ( ) ( ) m m m m a g T g m m m m = = + + Remember that unless otherwise noted you must ALWAYS explain your reasoning clearly. Even if the final result is correct, you will lose points for incoherent answers. _______________________________ I. (7 pts each) For the multiple choice only : No explanation is needed if your answer is correct. Justify your answer with well chosen words or a formula and you may receive partial credit even for a wrong answer---but use your time wisely.

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