Wednesday
April 23, 2014

Posts by henry


Total # Posts: 8,530

Algebra
Pitch = (Y/X) * 100% = (13/13.8) * 100%

math
cos52 = X/L = 100/L L = 100/cos52

physics
V = Vo + g*Tr = 0 10.5 - 9.8*Tr = 0 9.8t = 10.5 Tr = 1.07 s. = Rise time. hmax = ho + (V^2-Vo^2)/2g = 76 + (0-10.5^2)/-19.6 = 81.63 m. Above gnd. hmax = Vo*t + 0.5g*t^2 = 81.63 m. 0 + 9.8*t^2 = 81.63 t^2 = 8.33 Tf = 2.89 s. = Fall time. Tr+Tf = 1.07 + 2.89 = 3.96 s. To reach b...

Physics
h = Vo*t + 0.5g*t^2 = 115.7 m Vo*5.6 - 4.9*5.6^2 = 115.7 Vo*5.6 = 115.7+153.7 = 269.4 Vo = 48.1 m/s.

Physics
a. V = Vo + g*t = 0 + 9.8*2.04 = 20 m/s b. d = 0.5g*t^2 = 4.9*2.04^2 = 20.39 m. Downward.

phys
V = Vo + a*t = 12 + 4*3 = 24 m/s = Final velocity. d=(V^2-Vo^2)/2a = (24^2-12^2)/8 = 54 m.

Physics
41km/h[0o], 28min. 41km/h[37o], 15min. 41km/h[180o], 64min a. d1=41km/h[0o] * (28/60)h=19.13km[0o] d2=41km/h[37o] * (15/60)h=10.25km[37o]= 8.19 + i6.17 d3=41km/h[180o] * (64/60)h=43.73km[180o] V=(d1+d2+d3)/(t1+t2+t3)=(19.13+8.19+i6.17-43.73)/(28+15+64) = (-16.41 + i6.17)/107=1...

Physics
a. d = 407km[0o] + 871km[270o] X = 407 + 871*cos270 = 407 km Y = 871*sin270 = -871 km. D = sqrt(407^2 + (-871^2)) = 961.4 km. b. Tan A = Y/X = -871/407 = -2.14005 A = -64.95o = 64.95o S of E. = Direction. c. V=D/T = 961.4/(1.9+0.7333)=2.63 km/h. d. 64.95o S of E.

physic
See previous post.

physic
X = 4 km Y = -6 km R = sqrt(4^2 + (-6)^2)

Algebra 1
P = 300 - 0.3*300

Physics
17.6m[43o] a. X = 17.6*cos43 b. Y = 17.6*sin43

Physics
10.2m[48o] + B = 15m[15o] 10.2*cos48+i10.2*sin48+B=15^cos22+i15*sin22. 6.83 + i7.58 + B = 13.91 + i5.62 B=13.91-6.83 + i5.62 - i7.58=7.08-i1.96 B = sqrt(7.08^2 + (-1.96)^2) = 7.35 m. b. Tan A = Y/X = -1.96/7.08 = -0.27684 A = -15.47o S of E = 344.5o, CCW.

Physics
Note: Xt = 7-(-3.82) = 10.82 km.

Physics
a. 22km[260o] + 34[90o]. X = 22*cos260 = -3.82 km. Xt = 7.0 (-3.820 = 10.82 km = Total hor distance to B. Y = 22*sin260 + 34*sin90 = 12.33 km. D = sqrt((11.82)^2 + 12.33^2)= 17.1 km b. Tan A = Y/Xt = 12.33/10.82 = 1.13956 A = 48.7o

Physics
See previous post.

Physics
(Vb+Vr)2 = 26 km Eq1: 2Vb + 2Vr = 26 (Vb-Vr)6 = 26 km Eq2: 6Vb - 6Vr = 26 Add Eq1 and Eq2: 2Vb + 2Vr = 26 6Vb - 6Vr = 26 Multiply Eq1 by 3: 6Vb + 6Vr = 78 6Vb - 6Vr = 26 Sum: 12Vb = 104 Vb = 8.6667 km/h = Velocity of the boat. In Eq1, replace Vb with 8.6667: 2*8.6667 + 2Vr = 2...

Physics
Vo = 0 V = 34.72 m/s. a = 5.6 m/s^2 A. V = Vo + a*t = 34.72 0 + 5.6t = 34.72 t = 6.2 s. Length = Vo*t + 0.5a*t^2 Length = 0 + 2.8*6.2^2 = 107.6 m. B. V^2 = Vo^2 + 2a*L = 34.72^2 = 1205.5 0 + 2a*75 = 1205.5 150a = 1205.5 a = 8.04 m/s^2. C. V = Vo + a*t = 34.72 m/s. 0 + 8.04t = ...

Algebra 2
(68-48sqrt2)^(1/4) = (68-67.882)^(1/4) = (0.118)^(1/4) = 0.5861

Wave
a. Period

physics
d. Reduced by a factor of 2: P = V^2/2R.

physics
1. False. 2. False. 3. False. 4. True. 5. True. 6. False. Note: The resistivity 0f both wires is the same, because they are made of the same material(copper).

Physics
d = Vo*t + (V^2-Vo^2)/2a d = 20*0.5 + (0-20^2)/-10 = 50 m. Note: Vo*t is the distance traveled during the reaction time. The 2nd Eq was derived from V^2 = Vo^2 + 2a*d. Solve for d.

Physics
Vc = Vo + a*(T-To)Vo Vc=3.5*10^-4 + 69*10^-6*(80-8)3.5*10^-4= 3.56*10^-4 m^3 = Vol. of can at 80oC. Vl = Vc + Vs = 3.56*10^-4 + 5.8*10^-6 = 3.618*10^-4 m^3=Vol. of liquid at 80oC. 3.618*10^-4 - 3.5*10^-4 = 1.18*10^-5 m^3 = The increase in vol. of the liquid. a*(T-To)Vo = 1.18*...

Physics
a. d = Vo*t + 0.5a*t^2 = 11.5 m. 0 + 0.5a*5.4^2 = 11.5 14.58a = 11.5 a = 0.789 m/s^2 m = F/a = 73/0.789 = 92.55 kg. b. V=Vo + a*t = 0 + 0.789*5.4=4.26 m/s. d = Vo*t = 4.26 m/s * 4.20s = 17.89 m.

Physics
m = 2.5 kg h = 1.7 m. Work=F*h = mg*h = 2.5*9.8*1.7=41.65 J. No work is done when can is stationary.

physics
X = 4.3 m/s. A = 44o V = X/cosA = 4.3/cos44 = 5.98 m/s = Total velocity.

math
9pages/15min = 0.6 Pages/min. 198pages * 1min./0.6pages = 330 min. reading. (330min/30min) * 5min = 55 min. on break. 330 + 55 = 385 min = 6 hours-25 min consumed. 8:00 AM + 6:25 = 14:25=2:25 PM.= Finish time.

Science
Ratio = 200/20 = 10/1. 10 Loops on Primary and 1 loop on Secondary. p

physics
Series: Ct = 4.98*8.98/(4.98+8.98) = 3.20 uF. Parallel: Ct = 4.98 + 8.98 = 13.96 uF.

math
2/9/(3/5) = X/1 X = 2/9 * 5/3 = 10/27 gal.

Physics
x^2 + 2x - 35 = 0 -35 = -1*35 = -5*7. Choose the pair of factors whose sum = 2, the coefficient of X. (x-5)(x+7) = 0 x-5 = 0 X = 5. x+7 = 0 X = -7. Solution Set: X = -7, and 5.

Physics
See Related Questions: Mon,9-5-11,11:19 PM.

trig
h = 80*sin40

Physics
See Related Questions: Fri, 9-9-11,11:20 AM.

Physics
What is the question?

Physics
a. a = (V^2-Vo^2)/2d a = (30.9^2-21^2)/382 = 1.35 m/s^2. b. 21 + 1.35t = 30.9 1.35t = 9.9 t = 7.33 s.

physics
a. h1 = 0.5a*t^2 = 7.5*21^2 = 3308 m V = a*t = 15 * 21 = 315 m/s. hmax = h1 + (V^2-Vo^2)/2g = 3308 + (0-315^2)/-19.6 = 8371 m.

Physics
Vo = 17.9m/s[39o] Xo = 17.9*cos39 = 13.91 m/s. Yo = 17.9*sin39 = 11.26 m/s. Y = Yo + g*Tr = 0 @ max ht. 11.26 - 9.8Tr = 0 9.8Tr = 11.26 Tr = 1.15 s. = Rise time. Tf = Tr = 1.15 s. = Fall time. Tr+Tf = 1.15 + 1.15 = 2.30 s. = Time to hit gnd.

physics
Incomplete.

physics
Fn = mg*cos45 = 15 * 9.8 * cos45=104 N. = Normal force = Force perpendicular to the incline. Fk = u*Fn = 0.2 * 104 = 20.8 N.

physics
See Related Questions: Mon,2-3-13,12:14 PM.

science
d = 0.5g*t^2 = 4.9*2^2 = 19.6 m.

physics
X = -3.0km Y = 2km Tan Ar = Y/X = 2/-3 = -0.66667 Ar = -33.69o = Reference angle. A = -33.69 + 180 = 146.3o, CCW. D=X/cos A = -3/cos146.3=3.61km[146.3o]

physics
X = -200 N. Y = -150 N. Fn = sqrt((-200)^2 + (-150)^2) = 250 N.

Math
X nickels. (18-X) dimes. 5x + 10(18-X) = 125 Cents. 5x + 180 - 10x = 125 5x = 180-125 = 55 X = 11 (18-X) = 18-11 = 7.

Physics
Vo = 15m/s[35o] Yo = 15*sin35 = 8.60 m/s.

physics
d = 5050m/s * 0.0944s = 476.7 m. 476.7/91.4 = 5.22 Football fields.

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

phsyics
a. a = (V-Vo)/t = (3.65-0)/3.46 = 1.055 m/s^2 = Acceleration of the jogger. d1 = 0.5a*t^2 = 0.5*1.055*3.46^2=6.31 m b. a = (40.1-24)/3.46 = 4.65 m/s^2 d2 = Vo*t + 0.5a*t^2 d2=24*3.46 + 0.5*4.65*3.46^2 = 110.9 m. c. d2-d1 = 110.9-6.31 = 104.6 m. farther

Physics
a=(V-Vo)/t = (6.20-12.2)/6.70=-0.896 m/s^2.

math
See previous post.

mah
P = Po + Po*r*t P = 8000 + 8000*0.09*18. Solve for P.

physics
See previous post.

physics
I need to know the angles.

physics
See previous post.

Physics
See previous post: Mon,2-3-14,5:42 PM.

Physics 1
Vox = 5710 m/s Voy = 7490 m/s a. Hor. acceleration: Vo*t + 0.5a*t^2 = 5.78*10^6 m. 5710*910 + 0.5a*910^2 = 5.78*10^6 5.196*10^6 + 4.14*10^5a = 5.78*10^6 4.14*10^5a = 5.84*10^5 a = 1.41 m/s^2. b. Ver. acceleration: 7490*910 + 0.5a*910^2 = 6.17*10^6 6.816*10^6 + 4.14*10^5a = 6.1...

physics
PE = F*h = mg*h = 98*10 = 980 Joules.

Physics 1
d = Vo*t + 0.5g*t^2 = 2 m. 0 + 4.9t^2 = 2 t^2 = 0.408 Tf = 0.639 s. = Fall time. D = 5.0m/s * 0.639s = 3.19 m.

Physics
Correction: 4 Ft = 1.21 m. Not 13.2 m. hmax=1.21+8.22*0.84 - 4.9*0.84^2=4.66 m Above gnd. 0.5g*t^2 = 4.66 m. 4.9t^2 = 4.66 t^2 = 0.95 Tf = 0.97 s. = Fall time. d = 3.36m/s * (0.84+0.97) = 6.1 m.

Physics
V = Vo + g*Tr = 0 at max ht. 8.22 - 9.8Tr = 0 9.8Tr = 8.22 Tr = 0.84 s. = Rise time or time to reach max ht. hmax = ho + Vo*t + 0.5g*t^2 hmax=13.2 + 8.22*0.84 - 4.9*0.84^2=16.7 m. Above gnd. 0.5g*t^2 = 16.7 m. 4.9t^2 = 16.7 t^2 = 3.40 Tf = 1.84 s. = Fall time. d = 3.36m/s * (0...

physics
50N[50o] X = 50*cos50 Y = 50*sin50

Physical sciences
F = 10 + 30 = 40 N.

physics
V^2 = Vo^2 + 2a*d V^2 = Vo^2 - 6*24 = 0 Vo^2 = 144 Vo = 7 m/s = Initial velocity of the block = Speed of the truck.

PHYSICS
Please check your problem for errors.

science
L min. = 10.26 cm W min. = 4.91 cm H min. = 1.52 cm V nom. = 10.27 * 4.92 * 1.53=77.308 cm^3 V min. = 10.26 * 4.91 * 1.52=76.728cm^3 Error = 77.308 - 76.728 = 0.5796 cm^3 NOTE: The fractional error has no units; they cancel. Fractional Error = 0.58cm^3/77.308cm^3 = 0.0075

Physics
V^2 = Vo^2 + 2g*d = 0 + 19.6*10.1 = 198 V = 14.1 m/s.

Physics
X = -7 m/s Y = -8 m/s tan Ar = -8/-7 = 1.14286 Ar = 48.8o = Reference angle. A = 48.8 + 180 = 228.8o, CCW V = -8/sin228.8 = 10.63 m/s[228.8o].

physics
31m/s[44o] X = 31*cos44 = Y = 31*sin44 =

Physıcs
V = Vo + a*t = 17 m/s. 3 + a*5 = 17 5a = 17-3 = 14 a = 2.8 m/s^2.

Physıcs
F = m*a a = acceleration. m=mass of the object being accelerated.

physics..
V^2 = Vo^2 + 2g*h = 0 at max. ht. 40^2 - 19.6*h = 0 19.6h = 1600 h = 81.6 m.

physics
45m[90o] + 60m[180o] + 75m[270o] + 50m[0o]. X = -60 + 50 = -10 m. Y = 45 -75 = -30 m. d^2 = (-10)^2 + (-30)^2 = 1000 d = 31.62 m. Speed=d/t = 31.62m/7.433min.=4.25 m/min

physics
Vo = 37m/s[30.6o] Xo = 37*cos30.6 = 31.8 m/s. Yo = 37*sin30.6 = 18.8 m/s. a. Yo*t + 0.5g*t^2 = 8.9 m. 18.8t - 4.9t^2 = 8.9 -4.9t^2 + 18.8t - 8.9 = 0 t = 3.28 s. and heading downward. (Used Quad. formula). b. Y = Yo - g*Tr = 0 at max ht. 18.8 - 9.8*Tr = 0 9.8Tr = 18.8 Tr = 1.92...

physics
Y^2 = Yo^2 + 2g*h Y^2 = 0 + 19.6*24.93 = 488.6 Y = 22.1 m/s. Xo = 22.1/3 = 7.37 m/s.=Initial velocity

physics
V = 26m/s[-37o] A. Xo = 26*cos(-37) = 20.76 m/s. B. Xo * T = 53 m. 20.76 * T = 53 T = 2.55 s. = Fall time. Y = 26*sin(-37) = -15.65 m/s. Y = Yo + g*T = -15.65 Yo + 9.8*2.55 = -15.65 Yo = -15.65 - 24.99 = -40.64 m/s.=Vert. component of initial velocity. tan A = Yo/Xo = -40.64/2...

physics
Fn = -4100 + 8000 + 1200 = 5100 N., Due East. = Net force. a = Fn/m = 5100/6800 = 0.75 m/s^2, Due East.

Math
Correct.

Physics
V = Vo + a*t = 0 43 + a*0.28 = 0 0.28a = -43 a = -153.6 m/s^2

science
a. F = m * a. Newtons .

physics
Vo*t + 0.5g*t^2 = 100-50 = 50 0 + 4.9t^2 = 50 t^2 = 10.20 t = 3.19 s. V = Vo + g*t = 0 + 9.8*3.19 = 31.3 m/s = The velocity after the 1st 50 m drop = The initial velocity (Vo) for the 2nd 50 m drop. 31.3*t + 4.9t^2 = 50 4.9t^2 + 31.3t - 50 = 0 t = 1.32 s.(Use Quad. Formula).

physics
a=(V^2-Vo^2)/2d = (640^2-0)/2.4=170,667 m/s^2. V = Vo + a*t t=(V-Vo)/a = (640-0)/170,667=0.00375 s. = 3.75 ms.

physics
Dc = Dt 0.5a*t^2 = 9.5*t 1.1t^2 = 9.5t 1.1t^2 - 9.5t = 0 t = 8.64 s. (Use Quad. formula). D = 9.5 * 8.64 = 82.1 m. V = Vo + a*t = 0 + 2.2*8.64 = 19.0 m/s.

science
Ws = 0.08m^3 * 7840kg/m^3 * 9.8=6147 N. = Wt. of the steel in air. Ww=0.08m^3 * 1000kg/m^3 * 9.8 = 784 N. = Wt. of the water displaced. Ws in water = 6147 - 784 = 5363 N.

Math
See previous post.

Math
P(1,8), m = -8. Y = mx + b = 8 -8*1 + b = 8 b = 16. Eq: Y = -8x + 16.

Physics
See previous post: Thu.,1-30-14,10:32PM.

Physics
V=25mi/h * 1609m/mi * 1h/3600s=11.17 m/s Momentum = m*V = 0.01 * 11.17 = 0.1117 m-m/s.

science
Work = F*d = mg*d = 210 * 7 = 1470 J.

physics
Vo = 8.15m/s[-19o] Xo = 8.15*cos(-19) = 7.71 m/s. Yo = 8.15*sin(-19) = -2.65 m/s. A.Dx=Xo * Tf = 7.71m/s * 2.50s=19.26 m/s B. h = Yo*T + 0.5g*T^2 h = -2.65*2.5 + 4.9*2.5^2 = 24 m. C. -2.65*T + 4.9T^2 = 24-12 = 12 4.9T^2 - 2.65T - 12 = 0 T = 1.86 s.

physical science
V = Vo + g*t = 0 @ max ht. Vo - 9.8*4.24 = 0 Vo = 41.55 m/s. = Initial velocity, up. = Final velocity, down.

science
L = Lo + a/oC(T-To)*Lo L = 0.125 + 1.9*10^-6(100-200)0.125 = 0.124976

Engineering science N4
Distance = Vo^2*sin(2A)/g = 12000 m 700^2*sin(2A)/9.8 = 12000 50000*sin(2A) = 12000 sin(2A) = 12000/50000 = 0.240 2A = 13.9o A = 6.94o

physics
V = 60km/h = 60000m/3600s = 16.7 m/s. a = (V-Vo)/t = 4.5 m/s^2 (16.7-0)/t = 4.5 t = 16.7/4.5 = 3.70 s. d1 = 0.5a*t^2 = 2.25*3.7^2 = 31 m. d2 = V*t = 16.7m/s * 180s = 3,000 m. d3 = 60 m. d1+d2+d3 = 30.8 + 3000 + 60 = 3091 m. = Total distance traveled. V^2 = Vo^2 + 2a*d a = (V^2...

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