Physics A (b) 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.. An 80 kg man is one fouth of the way up a 0 m ladde that is esting against a smooth, fictionless wall. If the ladde has a mass of 0 kg and it makes an angle of 60 o with the gound, find the foce of fiction of the gound on the foot of the ladde. a. 780 N. b. 00 N. c. 50 N. d. 70 N. e. 340 N.. A piece of wood is floating in a lake. 35% of its volume is immesed in the wate. What is the density of the ball? a. 350 kg/m 3. b. 500 kg/m 3. c. 000 kg/m 3. d. 650 kg/m 3. e. 50 kg/m 3. 3. At the top of a cliff 00 m high, Raoul thows a ock upwad with velocity 5.0 m/s. How much late should he dop a second ock fom est so both ocks aive simultaneously at the bottom of the cliff? a. 5.s. b. 3.8 s. c..7 s. d.. s. e..8 s. 4. A ifle is aimed hoizontally towad the cente of a taget 00 m away. If the bullet stikes 0 cm below the cente, what was the velocity of the bullet? (Ignoe ai fiction.) (hint: emembe to conside the hoizontal and vetical components) a. 300 m/s b. 333 m/s c. 500 m/s d. 700 m/s e. 833 m/s.0.00
Physics A (b) Fall 00: FINAL Vesion A 5. A toque of 4 N-m gives a lage wheel an angula acceleation of 0.78 ad/s. What is the moment of inetia of the wheel? a. kg-m. b. 33 kg-m. c. 54 kg-m. d. 08 kg-m. e. 9 kg-m. 6. A ball is launched fom gound level at a speed 37.0 m/s at an angle of 53. o above the hoizontal. How high will the ball go? Assume ai esistance is negligible. a. 34 m. b. 67. m. c. 5. m. d. 69.8 m. e. 44.7 m. 7. A system compising blocks, a light fictionless pulley, a fictionless incline, and connecting opes is shown in the figue. The 9 kg block acceleates downwad when the system is eleased fom est. The acceleation of the system is closest to: a..7 m/s b..3 m/s c..5 m/s d.. m/s e..9 m/s 8. A 000-kg sailboat expeiences an eastwad foce of 3 000 N by the ocean tide and a wind foce against its sails with magnitude of 6 000 N diected towad the nothwest (45 o N of W). What is the magnitude of the esultant acceleation? a..5 m/s b..9 m/s c.. m/s d.. m/s e. 3.0 m/s.0.00
Physics A (b) Fall 00: FINAL Vesion A 3 9. A designe of aiplane unways needs to make a unway that suppots a plane that must each a speed of 7.8 m/s befoe it can lift-off and can acceleate at.00 m/s. At the vey least, how long of a unway must she make fo an aiplane stating fom est? a. 384 m. b. m. c. 7 m. d. 3 m. e. 93 m. 0. A bid, acceleating fom est at a constant ate, expeiences a displacement of 8 m in s. What is the final velocity of the bid afte s? a. b. c. d. e..7 m/s. 3. m/s. 5. m/s..5 m/s. 0.46 m/s.. A high fountain of wate is in the cente of a cicula pool of wate. You walk the cicumfeence of the pool and measue it to be 50 metes. You then stand at the edge of the pool and use a potacto to gauge the angle of elevation of the top of the fountain. It is 55. How high is the fountain? a. b. c. d. e. 7 m. 3 m. 9 m. 34 m. 0 m.. A 5 000-N weight is suspended in equilibium by two cables. Cable applies a hoizontal foce to the ight of the object and has a tension, T. Cable applies a foce upwad and to the left at an angle of 37o to the negative x axis and has a tension, T. Find T. a. b. c. d. e..0.00 4000 N. 6640 N. 70 N. 830 N. 3340 N.
Physics A (b) Fall 00: FINAL Vesion A 4 3. A 0 kg mass sits at the top of an incline that makes an angle of 37 o with espect to the hoizontal. When eleased it slides down at constant speed. What is the coefficient of kinetic fiction between the mass and the plane? a. 0.8 b. 0.75 c. 0.60 d. 0.48 e. 0.3 4. A foce given by F = a x acts in the x diection, whee a = 9.50 N m. Calculate the wok done by this foce acting on the object as it moves fom x = +3.00 m to x = +6.00 m. a. 3.9 J. b. 60. J. c. 77.9 J. d. 49.4 J. e. 85.5 J. 5. A gil and he bicycle have a total mass of 40 kg. At the top of the hill he speed is 5.0 m/s. The hill is 0 m high and 00 m long. If the coeffcient of fiction as she ides down the hill is 0.053, what is he speed at the bottom? a. 5 m/s. b. She stops befoe she eaches the bottom. c. 9 m/s. d. m/s. e. 3 m/s. 6. 4.00 x 0 5 J of total wok ae done on a 46 kg ca while it acceleates fom 0.0 m/s to some final velocity. Find this final velocity. a. 0.6 m/s. b..6 m/s. c. 3.8 m/s. d. 8.4 m/s. e. 5.8 m/s. 7. A olle coaste, loaded with passenges, has a mass of 000 kg; the adius of cuvatue of the tack at the bottom point of the dip is 4 m. If the vehicle has a speed of 8 m/s at this point, what foce is exeted on the vehicle by the tack? a..3 0 4 N. b. 7.4 0 3 N. c. 4.7 0 4 N. d..0 0 4 N. e..7 0 4 N..0.00
Physics A (b) Fall 00: FINAL Vesion A 5 8. A 50 N block, on a 30 incline, is being held motionless by fiction. The coefficient of static fiction between the block and the plane is 0.83. The foce due to static fiction acting on the block in this case is: a. 0 N. b. 3 N. c. 43 N. d. 36 N. e. 5 N. 9. A 3.0 kg block, moving on as fictionless suface with a speed of. m/s, makes a pefectly elastic collision with a block of mass M at est. Afte the collision, the 3.0 kg block ecoils with a speed of 0.3 m/s. The mass M is: a. 6 kg. b. 3 kg. c. 7.5 kg. d. 4 kg. e. 5 kg. 0. A aiload feight ca, mass 5 000 kg, is allowed to coast along a level tack at a speed of.0 m/s. It collides and couples with a 50 000-kg loaded second ca, initially at est and with bakes eleased. What pecentage of the initial kinetic enegy of the 5 000-kg ca is peseved in the two coupled cas afte collision? a. 4 %. b. 00 %. c. 3 %. d. 48 %. e. 86 %.. An Olympic skie moving at 0.0 m/s down a 30 o slope encountes a egion of wet snow, of coefficient of fiction of 0.740. How fa down the slope does she go befoe stopping? a. 9 m. b. 45 m. c. 70 m. d. 99 m. e. 05 m..0.00
Physics A (b) Fall 00: FINAL Vesion A 6. A bowling ball of mass 5.0 kg initially moves with a speed of 3.0 m/s in the +x diection. It then hits the wall and bounces back with the same speed in the in the x diection. What was the change in momentum of the ball? a. 30 kg(m/s). b. 5 kg(m/s). c. 0 kg(m/s). d. +5 kg(m/s). e. +30 kg(m/s). 3. An ice skate spins at.5 ev/s when his ams ae extended. He daws his ams in and spins at 6.0 ev/s. By what facto does his moment of inetia change in the pocess? a..4 b..0 c. 0.4 d. 8.3 e. 0..0.00
Physics A (b) 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 v = lim Fg = mg Fon = Fon Δt 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 ; 5 3 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.0.00