Friday
August 1, 2014

Posts by Henry


Total # Posts: 8,921

Physics
a=F/m = (4*415)/140,000=0.011857 m/s^2

math
Cost = $2375 * 0.85 * 0.80 * 0.80=$1292 Discount = 2375 - 1292 = $1083.

science
V2 = 1000 * 380/760 * 25/50 e. None of these.

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

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

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.

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.

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...

Physics
See 11:48 PM post.

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...

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

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

physics
You did not give the angle for F2.

Physics
u * F = 7.01 N. 0.44 * F = 7.01 F = 15.93 N.

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

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

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.

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.

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 t...

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

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

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

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.

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 =

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