Tuesday
September 30, 2014

Posts by Henry


Total # Posts: 9,170

science
V2 = 1000 * 380/760 * 25/50 e. None of these.
October 4, 2013

PHYSICS
Wc = m * g = 200 N. m * 9.8 = 200 m = 20.41 kg. = Mass of crate. F = 55N.[35o.] 55*cos35 - Fk = m*a 45.05 - Fk = m*0 = 0 Fk = 45.05 = Force of kinetic friction. u = Fk/Wc = 45.05/200 = 0.225
October 3, 2013

PHYSICS
Wb = m * g = 100kg * 9.8N/kg = 980 N. F1 = 980*sin15 = 253.6 N. = Force parallel to the ramp. F2 = 980*cosi5 = 946.6 N. = Force perpendicular to the ramp. Fs = F1 = 253.6 N. @ 15o u = Fs/F2 = 253.6/946.6 = 0.268
October 3, 2013

PHYSICS
Ws = m*g = 150 N. = Weight of sled. m = 150/g = 150/9.8 = 15.31 kg. F1 = 150*sin28 = 70.42 N. = Force parallel to the slope. F2 = 150*cos28 = 132.4 N. = Force perpendicular to the slope. a = F1/m = 70.42/15.31 = 4.60 m/s^2.
October 3, 2013

physics
W1 = m * g = 10kg * 9.8N/kg = 98 N. = Wt. 0f m1. Fs = u * mg = 0.69 * 98 = 67.62 N. = Force of static friction. m2 * g = Fs = 67.62 N. m2 * 9.8 = 67.62 m2 = 6.9 kg.
October 3, 2013

physics
Vo = 15.4m/s[38.7o] Xo = 15.4*cos38.7 = 12 m/s. Yo = 15.4*sin38.7 = 9.63 m/s. Range = Vo^2*sin(2A)/g Range = 15.4^2*sin(77.4)/9.8 = 23.62 m. Range = Xo * T = 23.62 m. Range = 12 * T = 23.62 T = 1.97 s. in air. d=Vr * T = 23.62-17.7 = 5.92 m. to run. Vr * 1.97 = 5.92 Vr = 3.0 m...
October 3, 2013

Physics
See 11:48 PM post.
October 2, 2013

Physics
A. h = 0.5g*t^2 = 0.809 m. 4.9t^2 = 0.809 t^2 = 0.1651 t = 0.4063 s. Xo * t = 18.3 m. Xo * 0.4063 = 18.3 Xo = 45 m/s. = Velocity of the pitch. B. h = 0.5g*t^2 = 5.4 m 4.9*t^2 = 5.4 t^2 = 1.1 Tf = = 1.05 = Fall time of each vessel. Ds = Xo * Tf = 15m/s * 1.05s. = 15.75m. = Dist...
October 2, 2013

Physics
V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*26.8 = 525.28 V = 22.92 m/s.
October 2, 2013

Physics
V^2 = Vo^2 + 2g*h V^2 = 0 + 20*500 = 10,000 V = 100 m/s.
October 2, 2013

physics
You did not give the angle for F2.
October 2, 2013

Physics
u * F = 7.01 N. 0.44 * F = 7.01 F = 15.93 N.
October 2, 2013

Intermediate Algebra
4x^2 + x - 1. Use Quadratic formula. X = (-B +-Sqrt(B^2-4AC))/2A X = (-1 +-Sqrt(1+16))/8 X = (-1 +-Sqrt(17))/8 X = (-1 +- 4.12)/8 = 0.39, and -0.64
October 2, 2013

Intermediate Algebra
11 1/2 * 11^3 = 23/2 * 11^3 = 23/2 * 1331 = 15,306.5
October 2, 2013

Physics
a. Wr = m * g = 56kg * 9.8N/kg = 549. N = Weight of refrigerator. Fs = u*Wr = 0.7 * 549 = 384 N. = Force of static friction which points in the +x direction. b. F = -384 N.
October 2, 2013

Math
X = The # of $10 bills. 3X = the # of $5. bills. 3x+30 = The # of $1 bills. 10x + 5*3x + 1*(3x+30) = 170 10x + 15x + 3x + 30 = 170 28x = 140 X = 5-$10 bills. 3x = 3*5 = 15-$5 bills. 3x+30 = 3*5 + 30 = 45-$1 bills.
October 1, 2013

physics
a. Wt. = m * g 25kg * 9.8N/kg = 245 N. F1 = Force parallel to the incline. F2 = Force perpendicular to the incline. Q1. F1 = 245*sinA = u*F2 245*sinA = 0.45*245*cosA Divide both sides by 245*cosA: sinA/cosA = 0.45 Replace SinA/cosA with tanA: tanA = 0.45 A = 24.2o = Angle of ...
October 1, 2013

physics
V^2 = X^2 + Y^2 V^2 = 3.8^2 + 1,6^2 = 17 V = 4.12 m/s
October 1, 2013

math
I = Po*r*t = 17,000*0.025*5 = $2125
October 1, 2013

Physics
Correction: h = (0-20^2)/-19.6 = 20.4 m.
October 1, 2013

Physics
1. KE = 0.5m*V^2 = 5*20^2 = 2000 Joules 2. V^2 = Vo^2 + 2g*h = h = (V^2-Vo^2)/2g h = (0-20^20/-19.6 = 20.4 m.
October 1, 2013

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

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