Saturday
October 25, 2014

Posts by Henry


Total # Posts: 9,352

interest
I = Po*r*t = 400 Po*(8.5/360)*30days = 400 0.70833*Po = 400 Po = $564.71 4564.71.
September 30, 2013

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.
September 30, 2013

MATH
P = Po + Po*r*t P = 675 + 675*0.1925*1 = $804.94
September 30, 2013

Geometry
Incomplete.
September 29, 2013

math
b. Amt. = 600*3 + 3200 = $5000 To start with. c. $3200/$ = 600 = 5.3 Months
September 29, 2013

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.
September 29, 2013

physics
See previous post: Sun,9-29-13,4:54 PM.
September 29, 2013

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.
September 29, 2013

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.
September 29, 2013

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.
September 29, 2013

physics
See previous post.
September 29, 2013

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[...
September 29, 2013

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]
September 29, 2013

physics
Fa + Fb + Fc = 2.33N[S12.2W]
September 29, 2013

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/...
September 29, 2013

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...
September 29, 2013

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".
September 29, 2013

physics
Vf = 3.2m/s + 0.68*8 = 8.64 m/s.
September 28, 2013

physics
Incomplete.
September 28, 2013

physics
h = 168 - 0.5g*t^2 h = 168 - 4.9*2.24^2 = 143.4 m
September 28, 2013

math
(x+y+3y)/2 = 3x 6x = x+4y 4y = 5x Y = 5x/4
September 28, 2013

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.
September 28, 2013

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...
September 28, 2013

Physics
When t = 0, x = 0.
September 27, 2013

dma040
Do you mean V = (1/3)*ah? If so, V = ah/3 Multiply both sides by 3/a: h = 3V/a
September 27, 2013

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.
September 27, 2013

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.
September 27, 2013

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.
September 24, 2013

physics
a. V = Vi + g*t b. d = Vi*t + 0.5g*t^2 c. V = -Vi + g*t. d = -Vi*t + g*t
September 24, 2013

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
September 24, 2013

physic
V^2 = 30^2 + 5^2 = 925 V = 30.4 km/h.
September 24, 2013

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.
September 23, 2013

Physics
See previous post: Tue,1-18-11,6:56 PM.
September 23, 2013

physics
Correction: F2 = mg*cosA.
September 23, 2013

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.
September 23, 2013

Physics
a. V2 = T2/T1 * P1/P2 * V1.
September 23, 2013

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.
September 23, 2013

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.
September 22, 2013

Physics
0.4.9*t^2 = h t^2 = h/4.9 t = sqrt (h)/2.21 = Fall time. S = Vx * t
September 22, 2013

Physics
P = mg*d/t = 600 * 1.2/1.5 = 480 J/s = 480 Watts.
September 22, 2013

physics
See previous post: Sun,9-22-13,8:57 PM.
September 22, 2013

physics
a = (V-Vo)/t = (34-10)/10 = 2.4 m/s^2. Fn = m*a = 1570 * 2.4 = 3768 N.
September 22, 2013

physics
See previous post: Tue,1-18-11,6:56 PM.
September 22, 2013

Physics
a = (V-Vo)/t = (10-(-50))/15 = 4 m/s^2.
September 22, 2013

Physics
A. h = 0.5g*t^2 = 4.9*15^2 = 1103 m. B. d = 290m/s * 15s = 4350 m. C. Over the island.
September 22, 2013

physics
See previous post: Sat,9-21-13,11:52 PM.
September 22, 2013

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.
September 22, 2013

physics
d = 0.5a*t^2 = 0.725 * 63.7^2 = 2942 Rad
September 22, 2013

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.
September 21, 2013

Physics
Incomplete and unclear.
September 21, 2013

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. = ...
September 21, 2013

physics
d = Xo * T = 2700 m. 520T = 2700 T = 5.19 s.
September 21, 2013

math
1. Real Numbers.
September 20, 2013

maths
5F = 250 F = 50 Females. F = 250 - 50 = 200 Females needed.
September 20, 2013

maths
Scale = 1:200,000? d = (200000/1) * 3cm = 600,000 cm. = 6000 m. = 6 km.
September 20, 2013

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 ...
September 20, 2013

Physics
See your previous post.
September 20, 2013

Physics
A + B = -15 29 + B = -15 B = -15-29 =-44 Units and points in negative Y direction.
September 20, 2013

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.
September 20, 2013

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.
September 20, 2013

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.
September 20, 2013

physics
Xo = 180*cos34 = 149.2 m/s.
September 20, 2013

physics
sinA = 15%/100% = 0.15 A = 8.63o
September 20, 2013

physics
tanAr = Y/X = 325/-445 = -0.73034 Ar = -36o = Reference angle. A = -36 + 180 = 144o CCW = 54o W. of N.
September 20, 2013

physics
D = X^2 + Y^2 = 26.7^2 X^2 + 25^2 = 26.7^2 Solve for X.
September 19, 2013

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.
September 19, 2013

Physics
d = Vo*t + (V^2-Vo^2)/2a d = 24.4*1 + (0-24.4^2)/-16 = 61.6 m.
September 19, 2013

Physics
Incomplete.
September 19, 2013

Mechanics
Correction: a = (26-0)/0.008 = 3250m/s^2
September 19, 2013

Mechanics
a = (V-Vo)/t = (0-26)/0.008s = 3250m/s^2 F = m*a = 0.425 * 3250 = 1381.3 N.
September 19, 2013

Mechanics
Momentum = m*V = 0.058*51 = 2.96
September 19, 2013

Physics
See previous post: Wed,9-18-13,8:10 PM.
September 19, 2013

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.
September 19, 2013

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. ...
September 19, 2013

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
September 19, 2013

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.
September 19, 2013

business math
80 * 3.50 =
September 19, 2013

business math
0.75*P = 2484 P = $3312.
September 19, 2013

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.
September 19, 2013

Physics
Vr = -10 + 20 = 10 km, East.
September 18, 2013

physics
See previous post.
September 18, 2013

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 = ...
September 18, 2013

Math term definitions
See your previous post.
September 18, 2013

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...
September 18, 2013

Math Definitions
See previous post.
September 18, 2013

Math Please Urgent
See your previous post: Wed,9-18-13,8:04 PM.
September 18, 2013

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)
September 18, 2013

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(...
September 18, 2013

Physics
F = m*a
September 18, 2013

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.
September 18, 2013

pressure
To = (2.7/1.75) * 25C = 38.57oC
September 18, 2013

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]
September 18, 2013

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)
September 18, 2013

physics
See previous post.
September 18, 2013

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
September 18, 2013

physics
I = 10*Log 105 = 20.2 db.
September 18, 2013

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.
September 18, 2013

Physics
d = 0.5a*t^2 = 2.5*3.9^2 = 38 m.
September 18, 2013

Physics
See previous post.
September 18, 2013

Physics
P = V^2/R = 120^2/15 = 960 Watts. Energy = P * t = 960 * 60s = 57,600 Watt-seconds.
September 18, 2013

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