Physics A (a) Fall 00: FINAL Vesion A Name o Initials: Couse 3-digit Code Comments: Closed book. No wok needs to be shown fo multiple-choice questions.. A helicopte is taveling at 60 m/s at a constant altitude of 40 m ove a level field. If a wheel falls off the helicopte, with what speed will it hit the gound? (g = 9.8 m/s and ai esistance negligible) (hint: emembe to conside the hoizontal and vetical components) a. 40 m/s. b. 60 m/s. c. 80 m/s. d. 90 m/s. e. 00 m/s.. A ventilation fan with a otational inetia of 0.0340 kg m has a net toque of 0.0 N m applied to it. If it stats fom est, what angula momentum will it have 8.00 s late? a. 0.880 kg m /s. b. 0.970 kg m /s. c..00 kg m /s. d. 3.5 kg m /s. e. 0.99 kg m /s. 3. Two blocks (A and B) ae in contact on a hoizontal fictionless suface. A 36 N constant hoizontal foce is applied to A. The mass of A is 4.0 kg and the mass of B is 0 kg. The magnitude of the foce of A on B is: a..5 N. b. 6.0 N. c. 6 N. d. 36 N. e. 30 N..08.00
Physics A (a) Fall 00: FINAL Vesion A 4. A baseball leaves the bat with a speed of 44.0 m/s and an angle of 30 o above the hoizontal. A 5.0 m-high fence is located at a hoizontal distance of 3 m fom the point whee the ball is stuck. Assuming the ball leaves the bat.0 m above gound level, by how much does the ball clea the fence? a. 4.4 m b. 8.8 m c. 3.4 m d. 7.9 m e..4 m 5. An 800-N billboad woke stands on a 4.0-m scaffold suppoted by vetical opes at each end. If the scaffold weighs 500 N and the woke stands.0 m fom one end, what is the tension in the ope neaest the woke? a. 450 N b. 500 N c. 600 N d. 800 N e. 850 N 6. Noma eleases a bowling ball fom est; it olls down a amp with constant acceleation. Afte half a second it has taveled 0.75 m. How fa has it taveled afte two seconds? a.. m b. 4.7 m c. 9.0 m d. m e. 5 m 7. An aiplane flies fom Denve to Chicago (770 km) in 4.4 hs when no wind blows. On a day with a tailwind, the plane makes the tip in 4.0 hs. What is the magnitude of the wind speed? a. 44 km/h. b. 40 km/h. c. 4 km/h. d. 00 km/h. e. 0 km/h..08.00
Physics A (a) Fall 00: FINAL Vesion A 3 8. A cheetah can un at appoximately 0 km/h and a gazelle at 90.0 km/h. If both animals ae unning at full speed, with the gazelle 75.0 m ahead, how long befoe the cheetah catches its pey? a. 3.3 s. b. 7.8 s. c. s. d. 3 s. e. 9.0 s. 9. A wood boad floats in fesh wate with 60% of its volume unde wate. The density of the wood is: a. 400 kg/m 3. b. 500 kg/m 3. c. 600 kg/m 3. d. less than 350 kg/m 3. e. moe than 650 kg/m 3. 0. Block A (mass =.5 kg) ests on a level tabletop. It is connected by a hoizontal cod passing ove a light, fictionless pulley to a hanging block B (mass =.30 kg). The coefficient of kinetic fiction between block A and the table is 0.450. Afte the blocks ae eleased fom est, what is the speed of block B afte it has fallen 3.00 cm? a. 0.69 m/s. b. 0.767 m/s. c. 0.445 m/s. d. 0.569 m/s. e. 0.8 m/s. Block A T T Block B. Conside the thee displacement vectos A, B, and C shown at ight. Each tick mak on the x-y axes epesents.00 m. Which one of the following choices best descibes the magnitude of the esultant vecto A + B + C? a..70 m. b. 7.8 m. c. 4. m. d. 4.5 m. e. 5.00 m..08.00
Physics A (a) Fall 00: FINAL Vesion A 4. A 500-N tightope walke stands at the cente of the ope such that each half of the ope makes an angle of 0.0 with the hoizontal. What is the tension in the ope? a.,440 N b.,000 N c. 80 N d. 500 N e.,900 N 3. A peson thows a ball vetically upwad into the ai with an initial velocity of 7.0 m/s. Calculate the distance the ball tavels between t =.00 s and t =.00s. a. 0.30 m. b..9 m. c..3 m. d.. m. e. 4.6 m. 4. A 5.0 kg cat is moving hoizontally at 6.0 m/s. In ode to change its speed to 0.0 m/s, the net wok down on the cat must be: a. 40 J. b. 90 J. c. 60 J. d. 400 J. e. 550 J. 5. A 0-N cate stating at est slides down a ough 5.0-m long amp, inclined at 5 with the hoizontal. 0 J of enegy is lost to fiction. What will be the speed of the cate at the bottom of the incline? a. 0.98 m/s b..5 m/s c..4 m/s d. 3. m/s e. 4.7 m/s 6. A foce F = ( ˆ i 0 ˆ j )N acts on an object. How much wok does this foce pefom as the object moves fom the oigin to the point = ( ˆ i +ˆ j )m? a. 46 J. b. 30 J. c. 7 J. d. 34 J. e. 50 J..08.00
Physics A (a) Fall 00: FINAL Vesion A 5 7. Conside an applied foce exeted on a box with mass 3.50 kg, on a amp with a fiction coefficient of 0.3 and that makes an angle of 0.0 o with espect to the hoizontal, as shown to the ight. Which one of the following choices best coesponds to the magnitude of the applied foce, if the box slides up the amp at a constant speed of 0.500 m/s? 0.0 a..7 N. b. 5.9 N. c. 38.5 N. d. 34.3 N. e. 4. N. 3.50 kg F applied 8. A clown ides a small bicycle down an incline and then though a loop-the-loop at the bottom as shown. The adius of the clown s path though the loop is.6 m. What minimum speed is equied at the top of the loop if he is not to fall? a. 5.0 m/s. b. 5 m/s. c. 3 m/s. d. 7 m/s e. 7. m/s. 9. An 8 kg block has a speed n and is behind a kg block that has a speed of 0.5 m/s. The suface is fictionless. The blocks collide and couple. Afte the collision, the blocks have a common speed of 0.9 m/s. The loss of kinetic enegy of the blocks due to the collision is closest to: a..5 J. b..8 J. c..7 J. d..4 J. e.. J..08.00
Physics A (a) Fall 00: FINAL Vesion A 6 0. In poblem 9, the impulse on the kg block due to the collision is closest to: a. 6.0 N.s. b. 7. N.s. c. 4.8 N.s. d. 8.4 N.s. e. 3.6 N.s.. A 0-kg object moving at -3.0 m/s is stuck elastically in a head-on collision with a 0-kg object initially moving at +3.0 m/s. Find the final velocity of the 0-kg object afte the collision. a. m/s. b. m/s. c. + m/s. d. + m/s. e. + 3 m/s.. A 000-kg oe ca olls 50.0 m down a fictionless 0 o incline. If thee is a hoizontal sping at the end of the incline, what sping constant is equied to stop the oe ca in a distance of.00 m? a. 30 kn/m. b. 68 kn/m. c. 960 kn/m. d. 980 kn/m. e. 340 kn/m. 3. A potte s wheel, with otational inetia 3 kg m, is spinning at 40 ev/min. The potte dops a lump of clay onto the wheel, whee it sticks a distance. m fom the otational axis. If the subsequent angula speed of the wheel and clay is 3 ev/min, what is the mass of the clay (ignoe toques that aise fom fictional effects)? a. 7.8 kg. b. 4.7 kg. c. 3.6 kg. d. 5.4 kg. e. 5.9 kg..08.00
Physics A (a) Fall 00: FINAL Vesion A 7 Equations and constants x = cos θ = x + y - y y = sin θ θ = tan x v y = v oy + ay t Δy = (v oy + v y ) t Δy = v oy t + ay t v y = (v oy ) + ay Δy Δv aavg = Δt v = Δx avg Δt Δx = x f x i speed = d avg Δt Δv 0 f µ F F = 0; a = 0 a = Δtlim 0 Δt s s N fk = µ k FN ; F = ma PE gav = mgh ; KE lin = mv ; Δx Fg = mg Fon = Fon v = Δtlim 0 Δt PE sping = k (Δx ) ; KE ot = Iω ; Fsping = k (Δx ) ; W = FΔx cosθ ; W net= W + W + W 3...; W W nc = ΔE mec ; Etotal = PEelastic + PEgav + KElin + KEot = kx + mgh + mv + Iω ; P = F v = ; Δt Δω Δθ Δs v v ; ω= ; Δθ = ; v t = ω ; at = α ; ac = ω = t ; FC = m ; p = mv ; α= Δt Δt I=F Δt = Δp = m( v f v i ) ; vi v i = (v f v f ) ; pi = p f ; mvi + mv i= mv f + mv f ; ω = ω o + αt mm Δp Δθ = (ω o + ω ) t F = G M Eath = 5.98 0 4 kg F extenal = Δt ; Δθ = ω t + αt 6 REath = 6.37 0 m o G = 6.67 0 N m kg ω = (ω o ) + αδθ τ = 0; α = 0 mm M τ = Iα PE = G ; g = 9.80 m/s ; g = G ;I = m + m +... = m ; τon = τ on Idisk = MR ; I point mass = Ihoop = MR ; Isolid sphee = MR ; Ithin spheical shell = MR ; L = Iω ; 3 5 ΔL m F ΔL = I f ω f I iωi ; τ = F sin θ ; τ extenal = ; ρ= ; P = ; P = P + ρgh ; Δt V A FBuoyancy v ; atm =.03 0 5 Pa; = ρ fluid gvdisplaced ; Av = A v ; P + ρgy + ρv = P + ρgy + ρ VolumeCylinde = π h kg g 3 kg 0 =.00 ; ρ Ion = 7,860 3 ; ρ wate =.00 m 3 VolumeSphee = 4 3 π 3 m cm3 AeaCicle = π CicumfeenceCicle = π b ± b 4ac ; x = PeimeteRectangle = length + width a AeaRect = length width 60 s = min; 60 min = h ;.54 cm = in ; in = ft ; 5, 80 ft = mi ;,609 m = mi ; 0.3048 m = ft ; light yea = 5.88 0 miles; π ad = ev = 360 deg. v x = v ox + ax t Δx = (v ox + v x ) t Δx = v ox t + ax t v x = (v ox ) + ax Δx.08.00