Friday
July 25, 2014

Posts by henry


Total # Posts: 8,898

interest
I = Po*r*t = 400 Po*(8.5/360)*30days = 400 0.70833*Po = 400 Po = $564.71 4564.71.

Physics
a. T=290km/81km/h + 210km/80km/h + 25/60 = 6.62 h. b. V = d/T = (290+210)/6.62 = 75.5 km/h.

MATH
P = Po + Po*r*t P = 675 + 675*0.1925*1 = $804.94

Geometry
Incomplete.

math
b. Amt. = 600*3 + 3200 = $5000 To start with. c. $3200/$ = 600 = 5.3 Months

Physics
h = 1.94*sin27.5 = 0.896 m. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*0.896 = 17.56 V = 4.19 m/s.

physics
See previous post: Sun,9-29-13,4:54 PM.

physics
a. V = Vo + g*t = 19 m/s. 39 - 9.8*t = 19 -9.8t = 19-39 = -20 t = 2.04 s. b. V = Vo + g*t = -19 m/s. 39 - 9.8t = -19 -9.8t = -58 t = 5.92 s.

physics
a. V^2 = Vo^2 + 2a*d a=(V^2-Vo^2)/2d = (15^2-0)/250=0.9 m/s^2 b. V = Vo + a*t t = (V-Vo)/a = (15-0)/0.9 = 16.67 s.

physics
Tr = 0.5 * 4.84 = 2.42 s. = Rise time. V = Vo + g.t = 0 @ max ht. Vo - 9.8*(2.42) = 0 Vo = 23.72 m/s. = Initial velocity. h = Vo*t + 0.5g*t^2 h = 23.72*2.42 - 4.9*2.42^2 = 28.7 m.

physics
See previous post.

physics
a. F = 7 + 10 = 17 N. b. F = 10-7 = 3 N. c. F1 = 7N[45o]. F2 = 10N[105o]. X = 7*cos45 + 10*cos105 = 2.36 N. Y = 7*sin45 + 10*sin105 = 14.6 N. tanA = Y/X = 14.6/2.36 = 6.18644 A = 80.8o Fr=Y/sinA = 14.6/sin80.8=14.8 N.[80.8o] = Resultant force. d. Fr = 7[160o] + 10[160o] = 17N[...

Grade 12 physics
F1 = 15N[66o],CCW. F2 = Pull South. F3 = Pull West. a. X = 15*cos66 + F3 = 0 F3 = -15*cos66 = -6.10 N. Y = 15*sin66 + F2 = 0 F2 = -15*sin66 = -13.7 N. b. X = 15*cos66-6.10 = 0 Y = 15*sin66 = 13.7 N.=13.7N Fn = X + Yi = 0 + Yi = 13.7i=13.7N[90o]

physics
Fa + Fb + Fc = 2.33N[S12.2W]

physics
Fa = 2.3N[235o],CCW. Fb = 3.6N[104o],CCW. Fc = 4.2N[294o],CCW. X=2.3*cos235+3.6*cos104+4.2*cos294 = -0.482 N. Y=2.3*sin235+3.6*sin104+4.2*sin294= -2.28 N. tan Ar = Y/X = -2.28/-0.482 = 4.62215 Ar = 77.8o = Reference angle. A = 77.8 + 180 = 257.8o CCW = 12.2o W of S. Fr = Y/sin...

maths
P = Po(1+r)^n n = 4Comp./yr * 5yrs. = 20 Compounding periods. P = 10,000(1+r)^20 = $20,000 Divide both sides by 10,000: (1+r)^20 = 2 Take Log of both sides: 20*Log(1+r) = Log 2 Divide both sides by 20: Log(1+r) = 0.015051 1+r = 10^0.015051 = 1.035265 r = 1.035265-1 = 0.035265 ...

Physics
a. 8.1[52o] + 8[180o] X = 8.1*cos52 + 8*cos180 = 4.99 Units Y = 8.1*sin52 + 8*sin180 = 6.38 Units. Mag. = Sqrt(4.99^2+6.38^2 = 8.1 Units tanA = Y/X = 6.38/4.99 = 1.27856 A = 51.97o = Direction. b. 8.1[52o] - 8[180o] Subtract and use same procedure as "a".

physics
Vf = 3.2m/s + 0.68*8 = 8.64 m/s.

physics
Incomplete.

physics
h = 168 - 0.5g*t^2 h = 168 - 4.9*2.24^2 = 143.4 m

math
(x+y+3y)/2 = 3x 6x = x+4y 4y = 5x Y = 5x/4

physics
F = m*a = 13 N. 36*a = 13 a = 0.361 m/s^2 d = 0.5a*t^2 = 0.5*0.361*4.5^2 = 3.66 m.

physics
Vo = 29m/s[36.9o] Xo = 29*cos36.9 = 23.2 m/s. Yo = 29*sin36.9 = 17.4 m/s. a. h = Yo*t + 0.5g*t^2 = 10 m 17.4*t - 4.9t^2 = 10 -4.9t^2 + 17.4t - 10 = 0. Use Quad. Formula. t = 0.72, and 2.83 s. b. X = Xo = 23.2 m/s. = Hor. component of velocity , and does not change. c. Y = Yo +...

Physics
When t = 0, x = 0.

dma040
Do you mean V = (1/3)*ah? If so, V = ah/3 Multiply both sides by 3/a: h = 3V/a

Physics
L = (V^2-Vo^2)/2g a. L = (15^2-4.7^2)/19.6 = 10.4 m. b. h = L*sin10 h = 10.4*sin10 = 1.8 m. h = Vo*t + 0.5g*t^2 = 1.8 4.7t + 4.9t^2 = 1.8 4.9t^2 + 4.7t - 1.8 = 0 t = 0.293 s. Use Quadratic Formula.

Crossing a River in min time
TanA = (1km/h)/15km/h = 0.066666 A = 3.8o E. of N. d = 1.17/cos3.8 = 1.173km. = Distance boat must travel. Vb = 15/cos3.8 = 15.033 km/h d = V*t = 1.173 km 15.033t = 1.173 t = 0.078028 h = 4.68 Min.

physics
a. OA = 0.5a*t^2 = 25 m. 0.5a*7^2 = 25 0.5a*49 = 25 a = 1.02 m/s^2 b. V = a*t = 1.02 * 7 = 7.14 m/s. c. AB = (V^2-Vo^2)/2a AB = (15^2-7.14^2)/2.04 = 85.3 m.

physics
a. V = Vi + g*t b. d = Vi*t + 0.5g*t^2 c. V = -Vi + g*t. d = -Vi*t + g*t

Phsyics
Vo = 30m/s[80o] Yo = 30*sin80 = 29.54 m/s. hmax = (V^2-Vo^2)/2g hmax = (0-29.54^2)/-19.6 = 44.52 m Tr = -Vo/g = -29.54/-9.8 = 3.0 s = Rise time, Tf = 5-3 = 2 s. = Fall time. h = ho - 0.5g*t^2 h=44.52 - 4.9*2^2 = 24.92 m. after 5 s. 4.9*2^2 = 19.6

physic
V^2 = 30^2 + 5^2 = 925 V = 30.4 km/h.

Physics
Vo = 36km/h = 36000m/3600s = 10 m/s. V^2 = Vo^2 + 2g*h h = (V^2-Vo^2)/2g h = (0-10^2)/-19.6 = 5.0 m.

Physics
See previous post: Tue,1-18-11,6:56 PM.

physics
Correction: F2 = mg*cosA.

physics
mg = 667.5 N. F1 = mg*sinA = 667.5*sin38 = 411 N = Force parallel to the hill. F2 = mg*sinA= 667.5*cos38 = 526 N = Force perpendicular to the hill. Fs = u*F2 = 0.4 * 526 = 210.4 N = Force of static friction. Yes, because F1 is greater than the forceof s tatic friction, Fs.

Physics
a. V2 = T2/T1 * P1/P2 * V1.

physics
Vo = 18.9m/s[47o] Xo = 18.9*cos47 = 12.9 m/s. Range = Vo^2*sin(2A)/g Range = 18.9^2*sin94/9.8 = 36.4 m. Range = Xo * t = 36.4 m. 12.9 * t = 36.4 t = 2.82 s. in flight. d = 54.4-36.4 = 18 m To run in 2.82 s. Speed = d/t = 18m/2.82s = 6.38 m/s.

Physics
Vo = 15m/s[75o] Xo = 15*cos75 = 3.88 m/s. Range = Vo^2*sin(2A)/g Range = 15^2*sin(150)/9.81 = 11.47 m. d = 0.5a*t^2 = 11.47 m. 0.5a*1.03^2 = 11.47 0.53a = 11.47 a = 21.6 m/s^2.

Physics
0.4.9*t^2 = h t^2 = h/4.9 t = sqrt (h)/2.21 = Fall time. S = Vx * t

Physics
P = mg*d/t = 600 * 1.2/1.5 = 480 J/s = 480 Watts.

physics
See previous post: Sun,9-22-13,8:57 PM.

physics
a = (V-Vo)/t = (34-10)/10 = 2.4 m/s^2. Fn = m*a = 1570 * 2.4 = 3768 N.

physics
See previous post: Tue,1-18-11,6:56 PM.

Physics
a = (V-Vo)/t = (10-(-50))/15 = 4 m/s^2.

Physics
A. h = 0.5g*t^2 = 4.9*15^2 = 1103 m. B. d = 290m/s * 15s = 4350 m. C. Over the island.

physics
See previous post: Sat,9-21-13,11:52 PM.

physics
Da = 204 + Db Da = 22.9t = 204 + 18.6t 22.9t-18.6t = 204 4.3t = 204 t = 47.44 s. To catch up.

physics
d = 0.5a*t^2 = 0.725 * 63.7^2 = 2942 Rad

physics
d1 + d2 = 5.16 m. (Vo*t+0.5g*t^2 ) + (Vo*t+0.5g*t^2=5.16 (8.67t-4.9t^2) + (8.67*t+4.9*t^2 = 5.16 8.67t + 8.67t = 5.16 17.34t = 5.16 t = 0.298 s. Note: 4.9t^2-4.9t^2 = 0 d1 = 8.67*0.298 - 4.9*0.298^2 = 2.14 m Above gnd. = The point where they meet.

Physics
Incomplete and unclear.

Physics
A = 45.6[51.2o]. B = 23.6[32.8o] C = 34[270o] A-B+C = 45.6[51.2o]-23.6[32.8o]+34[270] X = 45.6*cos51.2-23.6*cos32.8+34*cos270= 8.74. Y = 45.6*sin51.2-23.6*sin32.8+34*sin270= -11.2 tanAr = Y/X = -11.2/8.74 = -1.28146 Ar = -52o = Reference angle. A = -52 + 360 = 308o. = Directio...

physics
d = Xo * T = 2700 m. 520T = 2700 T = 5.19 s.

math
1. Real Numbers.

maths
5F = 250 F = 50 Females. F = 250 - 50 = 200 Females needed.

maths
Scale = 1:200,000? d = (200000/1) * 3cm = 600,000 cm. = 6000 m. = 6 km.

Physics
Y/X = 56/-25.5 = -2.19608 Ar = -65.5o = Rerence angle. A = -65.5 + 180 = 114.5o = Direction. Mag. = Y/sinA = 56/sin114.5 = 61.5 Units NOTE: If you draw the vector diagram showing 56 on the positive Y-axis and -25.5 on the negative X-axis, you can see that the Direction lies be...

Physics
See your previous post.

Physics
A + B = -15 29 + B = -15 B = -15-29 =-44 Units and points in negative Y direction.

Physics
B. d = 0.5a*t^2 = 2.27*8.43^2 = 161.3 m. C. V = a*t = 4.53*8.43 = 38.2 m/s. D. 3.62*8.43 = 30.5 m/s.

Physics
d1 = 0.5a*t^2 = 1.81*1.01^2 = 1.85 m. Head start. V1 = a*t = 3.62*1.01 = 3.66 m/s. d2 = 0.5a*t^2 = 1.85 + V1*t + 0.5a*t^2 2.27t^2 = 1.85 + 3.66*t + 1.81t^2 2.27t^2-1.81t^2 -3.66t - 1.85 = 0 0.46t^2 - 366t - 1.85 = 0 t = 8.43 s. To catch up.

physics
F = m*a a = F/m = 4.9*10^5/7 = 7*10^4 m/s^2 t = (V-Vo)/a = (4000-0)/70,000=0.0571 s.

physics
Xo = 180*cos34 = 149.2 m/s.

physics
sinA = 15%/100% = 0.15 A = 8.63o

physics
tanAr = Y/X = 325/-445 = -0.73034 Ar = -36o = Reference angle. A = -36 + 180 = 144o CCW = 54o W. of N.

physics
D = X^2 + Y^2 = 26.7^2 X^2 + 25^2 = 26.7^2 Solve for X.

Physics
a = (V^2-Vo^2)/2d a = (21^2-35^2/0.08 = -9800 m/s^2. V = Vo + a*t = 21 m/s. 35 + -9800t = 21 t = 0.001429 s. = 1.429 ms.

Physics
d = Vo*t + (V^2-Vo^2)/2a d = 24.4*1 + (0-24.4^2)/-16 = 61.6 m.

Physics
Incomplete.

Mechanics
Correction: a = (26-0)/0.008 = 3250m/s^2

Mechanics
a = (V-Vo)/t = (0-26)/0.008s = 3250m/s^2 F = m*a = 0.425 * 3250 = 1381.3 N.

Mechanics
Momentum = m*V = 0.058*51 = 2.96

Physics
See previous post: Wed,9-18-13,8:10 PM.

physics
V^2 = Vo^2 + 2a*h V^2 = 51.3^2 + 3.64*150 = 3177.69 V = 56.4 m/s. hmax = (V^2-Vo^2)/2g hmax = (0-56.4^2)/-19.6 = 162,3 m.

physics
a. Vo = 14m/s[45o] Xo = 14*cos45 = 9.9 m/s. Yo = 14*sin45 = 9.9 m/s. Y = Yo + g*t = 0 Tr=Yo/g = 9.9/9.8 = 1.01 s. = Rise time. hmax = ho + Yo*t + 0.5g*t^2 hmax=2.16 + 9.9*1.01 - 4.9*1.01^2=7.16m Above gnd. h = 0.5g*t^2 = 7.16 4.9t^2 = 7.16 t^2 = 1.46 Tf = 1.21 s. = Fall time. ...

Physics
2.80km[35o] X = 2.80*cos35 = 2.29 km Y = 2.80*sin35 = 1.61 km dmin = 2.29 + 1.61 = 3.9 km

Physics
1. Check calculations and have another person check it also. 2. Check Power supply voltage. 3. Remove all resistors from circuit and check them individually. 4. Make sure circuit is wired correctly.

business math
80 * 3.50 =

business math
0.75*P = 2484 P = $3312.

Physics
h = 0.5g*t1^2 = 20 m. 4.9*t1^2 = 20 t1^2 = 4.08 t1 = 2.02 s. d = r * t2 = 4.6 m. 1.6t2 = 4.6 t2 = 2.9 s. T = t1 + t2 = 2.02 + 2.9 = 4.92 s.

Physics
Vr = -10 + 20 = 10 km, East.

physics
See previous post.

physics
h1 = Vo*t + 0.5g*t^2 h1 = 16*0.65 - 4.9*0.65^2 = 8.33 m. Head start. V1 = Vo + g*t = 16 - 9.8*0.65=9.63 m/s. h2 = Vo*t + 0.5g*t^2=8.33+V1*t+0.5g*t^2 27*t - 4.9t^2 = 8.33 + 9.63t - 4.9t^2 27t - 9.63t - 4.9t^2 + 4.9t^2 = 8.33 17.37t = 8.33 t = 0.48 s. h = 27*0.48 - 4.9*0.48^2 = ...

Math term definitions
See your previous post.

physics
m*g = 15,400 N. m = 15400/g = 15400/9.8 = 1540.4 kg Fr = -2000 + 4000[120o] X = -2000 + 4000*cos120 = -4000 N. Y = 4000*sin120 = 3464 N. tan Ar = Y/X = 3464/-4000 = -0.86603 Ar = -40.9o = Reference angle. A = -40.9 + 180 = 139.1o CCW = 49.1o W. of N. Fr = Y/sinA = 3464/sin139...

Math Definitions
See previous post.

Math Please Urgent
See your previous post: Wed,9-18-13,8:04 PM.

Math definitions
1. A perfect cube. Example: 125 = 5*5*5. 2. A perfect square. Example: 36 = 6*6. 3. 1*sqrt (4) 4. 8*sqrt(4)

Math
((1/4)^-3/(1/4)^2)^-2 = ((1/4)^-5)^-2 = (1/4)^10 = 9.54*10^-7 (3^1/2)^3 = 3^(3/2) = 5.196. -56r^2/-7r^2 = 8. x*y*x*2y = 2X^2Y^2 3600X^4Y^6. sqrt(16*10^4) = 4*10^2 = 400. sqrt means Square root. sqrt(0.04) = sqrt(4*10^-2) = 2*10^-1 = 0.20 3*sqrt(81) = 3*9 = 27 sqrt(900) = sqrt(...

Physics
F = m*a

physics
a. d = Xo * t = 2.75m/s * 0.866s=2.38 m. b, d=0.5g*t^2 = 4.9*(0.866)^2 = 3.67 m. c. d = 0.5g*t^2 = 10 m. 4.9t^2 = 10 t^2 = 2.04 Tf = 1.428 s. = Fall time. D = Xo * Tf = 2.75 * 1.428 = 3.93 m.

pressure
To = (2.7/1.75) * 25C = 38.57oC

Physics
h = 0.5g*t^2 = 44 m. 4.9t^2 = 44 t^2 = 8.98 t = 3 s. = Time in flight. Range = Vo*cos10 * t = 109 m. Vo*cos10 * 3 = 109 Vo = 109/3*cos10 = 36.9 m/s[10o]

Business Math
I = 2600-2000 = $600 I = Po*(0.06/360)*t = 600 2000*(0.06/360)*t = 600 0.333t = 600 t = 1800 Days = 5 yrs(Assuming 360 days/yr)

physics
See previous post.

physics
Xo = 75 m/s. Y^2 = Yo^2 + 2g*h Y^2 = 0 + 19.6*50 = 980 Y = 31.3 m/s. V = 75 + 31.3i tan A = Y/Xo = 31.3/75 = 0.41740 A = 22.7o

physics
I = 10*Log 105 = 20.2 db.

math
N(-2,-3), O(0,0), P(6,p). m1 = (0-(-3))/(0-(-2)) = 3/2 m2 = (p-0)/(6-0) = 3/2 p/6 = 3/2 2p = 18 p = 9.

Physics
d = 0.5a*t^2 = 2.5*3.9^2 = 38 m.

Physics
See previous post.

Physics
P = V^2/R = 120^2/15 = 960 Watts. Energy = P * t = 960 * 60s = 57,600 Watt-seconds.

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