Friday
August 1, 2014

Posts by Henry


Total # Posts: 8,921

Physics
F = 152N[35o] Fx = 152*cos35 = Fy = 152*sin35 =

Physics
X = 13.5 N. Y = 32 N. tan A = Y/X = 32/13.5 = 2.37037 A = 67.1o Fr = 32/sin 67.1 = 34.7 N[67.1o] = Resultant force. Equilibrant=34.7N[67.1+180]=34.7N[247.1]

Math- Urgent
W/4 = -13 Multiply both sides by 4: W = 4*-13 = -52.

Physics
a. C = C1*C2/(C1+C2) = 30 uF 33.6*C2/(33.6+C2) = 30 33.6C2 = 1008+30C2 33.6C2-30C2 = 1008 3.6C2 = 1008 C2 = 280 uF In series. b. C1 + C2 = 30 uF 29.3 + C2 = 30 C2 = 30 - 29.3 = 0.7 uF in parallel.

science
Incomplete.

physics
Fap-Fk = m*a Eq1: 77 - Fk = m*0.45 Eq2: 82 - Fk = m*0.74 Subtract Eq2 from Eq1: Diff. = -5 = -29m m = 0.172 kg.

Physical Science
W = (1/6)(100kg*9.8N/kg) = 163.3 N.

Physical Science
d.

math
Scale = 1cm:0.6m = 1cm:60cm V = (60/1)*(34 x 20 * 6) V = 2040 x 1200 x 360 cm.

Algebra 2
24. Eq1: 4x + 5y = 3 Eq2: 6x + 9y = 9 Multiply Eq1 by 6 and Eq2 by -4 and add: 24x + 30y = 18 -24x - 36y = -36 Sum: -6y = --18 Y = 3 In Eq1, replace y with 3 and solve for x: 4x + 5*3 = 3 4x = 3-15 = -12 X = -3 26. Use same procedure as #24. Multiply Eq1 by 2 and Eq2 by -4 and...

physics
d = 2.12m/s * 0.21s = 0.4452 m. C=(6.28rad/2.10rad) * 0.4452 m=1.33 m. = Circumference. C =3.14 * 2r = 1.33 m. 6.28r = 1.33 r = 0.212 m. = Radius of the wheel.

Physics
V^2 = Vo^2 + 2a*d a = (V^2-Vo^2)/2d a = (372.4^2-0)/1 = 138,682 m/s^2 F = m * a = 0.0042 * 138,682 = 582.5 N.

phydraulic
Work = 2000 * 2 = 4000 Ft-Lbs.

phyiscs
t=(v-Vo)/a = (25-10)/(0.5*9.8) =3.06 s.

physics
H = 0.5g*t^2 = 32.3 m. 4.9t^2 = 32.3 t^2 = 6.59 t = 2.57 s.

physics
t = 10.2min * 60s/min = 612 s. P = F * d/t = mg * d/t P = 38*9.8 * 170/612 = 103.4 J/s

Science
KE = 0.5m*V^2 = 43.2 J. m = 0.3 kg, solve for V,

Science
PE = mg*h = 2700 J. 45 * 9.8 * h = 2700 Solve for h.

physics
Vo = 16m/s[55o] Yo = 16*sin55 = 13.11 m/s. Y^2 = Yo^2 + 2g*h h = (Y^2-Yo^2)/2g h = (0-13.11^2)/-19.6 = 8.77 m.

math
I = Po*(r/365)*t = $1307 I = 45000*(.04/365)*t = 1307 4.932t = 1307 t = 265 Days.

Physics
See previous post: Mon,10-14-13,2:31 PM.

Physics
Wc = m * g = 149kg * 9.8N/kg = 1460 N. = Wt. of the crate. Fp = 1460*sin51 = 1135 N. = Force parallel to the plane. Fv = 1460*cos51 = 919 N. = Force perpendicular to the plane. Fap-Fp = m*a Fap-1135 = m*0 = 0 Fap = 1135 N. = Force applied parallel to the plane. Fh = Fap*cos51 ...

PHYSICS
a. Ct = C1*C2?(C1+C2) Ct = 7*11/(7+11) = 4.28 uF. = Total capacitance. b. Qt = Ct*V = 4.28 * 9 = 38.5 uC=Q1=Q2 Q1 = C1*V1 = 38.5 7 * V1 = 38.5 V1 = 5.5 Volts. C2 * V2 = Qt V2 = 38.5/11 = 3.5 Volts. c. Q1 = Q2 = Qt = 38.5 uC.

physics
Range = Vo^2*sin(2A)/g Range = Vo^2*sin(60)/9.8 = 40 0.08837Vo^2 = 40 Vo^2 = 452.6 Vo = 21.3 m/s

physic
Ion.

physic
Ion.

phy 111
See previous post: Mon,10-14-13,8:26 AM.

phy 111
Fr = 100N[170o] + 100[50o] X = 100*cos170 + 100*cos50 = -34.2 N. Y = 100*sin170 + 100*sin50 = 94.0 N. Fr^2 = X^2 + Y^2 = -34.2^2 + 94^2=10006 Fr = 100 N. tanAr = Y/X = 94/-34.2 = -70o = Reference angle. A = -70 + 180 = 110o Fr = 100N[110o].

Science
Incomplete.

physics
d = 2.24m/sin25 = 5.30 m Parallel to the ramp. Work = Fex * d = 290 * 5.30 = 153t J.

Physics
Wc = m * g = 25.4kg * 9.8N/kg = 249 N.= Weight of cart. Fap*cosA-Fk = m * a Fap*cos30.6 -0.7*249 = m*0 = 0 Fap*cos30.6 = 174.3 Fap = 174.3/cos30.6 = 202.5 N. = Force applied. Work = Fap * d = 202.5 * 18.4 = 3726 J.= 3.726 kJ.

Math
Rectangle1: W1 = 6in, L1 = 9in. P1 = 2W1 + 2L1 = 12 + 18 = 30 in. Retangle2: W2 = 8in, L2 = 12in. P2 = 2W + 2L2 = 16 + 24 = 40 in. W1:W2 = 6:8 = 3:4 L1:L2 = 9:12 = 3:4 P1:P2 = 30:40 = 3:4. All of the ratios are equal. Therefore, the rectangles are similar.

math
P = Po + Po*r*t P = 4000 + 4000*(0.07/12)*7 = $4163.33

physics
Fg = m * g = 850kg * 9.8N/kg = 8330 N

physics
Wc=M * g = 660kg * 9.8N/kg = 6468 N. = Weight of the car. Fex - Ff = m*a Fex - 0.31*6468 = m*0 = 0 Fex = 2005 N. = Force exerted.

physics
a = V/t = (1.1m/s)/3.8s = 0.2895 m/s^2. Ws = m * g = 57kg * 9.8N/kg = 558.6 N.= Weight of the sled. Fex - Ff = m * a Fex - 0.06*558.6 = 57*0.2895 Fex - 33.52 = 16.5 Fex = 16.5 + 33.52 = 50.0 N. = Force exerted.

Physics
tanA = 0.3/0.5 = 0.6 A = 31o D = 60/cos31 = 70 m. V = 70/cos31 = 0.583 m/s D = V*t = 70 m. 0.583*t = 70 t = 120.1 s.

Physics -URGENT-
a = 5.7m/s^2[19o] m = 2kg F1 = 17.1N[90o] = 17.1i F2 = ? Fn = m * a = 2 * 5.7[19o] = 11.4N.[19o]= 10.78 + 3.71i. F1 + F2 = Fn = 10.78 + 3.71i 17i + F2 = 10.78 + 3.71i F2=10.78 + 3.71i - 17.1i=10.78 -13.39i F2^2 = 10.78^2 + 13.39^2 = 295.5 F2 = 17.2 N

Physics
See previous post.

Physics
See previous post.

Physics
Vo = 200m/s[30o] Yo = 200*sin30 = 100 m/s. Y^2 = Yo^2 + 2g*h h = (Y^2-Yo^2)/2g h=(0-100^2)/-20 = 500 m. g = -10 m/s^2

physics
d = Vo^2*sin(2A)/g = 100 m. Vo^2*sin(90)/9.8 = 100 0.102Vo^2 = 100 Vo^2 = 980 Vo = 31.3 m/s.

physics
Q1.a = 2.5 * -9.8 = -24.5m/s^2. Q2. V = Vo + g*t = 0 + 9.8*10 = 98 m/s. Q3. V = 0.5g*t = 4.9*10 = 49 m/s. Q4. d = 0.5g*t^2 = 4.9*10^2 = 490 m.

physics
Wc = m * g = 16kg * 9.8N/kg = 156.8 N. = Wt. of the cart. Fe*cos28-Ff = m*a 0.8829Fe - 54 = m*0 = 0 0.8829Fe = 54 Fe = 61.2 N. = Force exerted. W = Fe*cos28 * d W = 61.2*cos28 * 20 = 1080 Joules = Work done on cart.

physics
d = (V^2-Vo^2)/2g d = (53^2-3.14^2)/19.6 = 143 m.

physics
a = (V-Vo)/t = (42-0)/7.3 = 5.75 m/s^2. F = m*a = 5700 * 5.75 = 32,795 N.

physics
Incomplete.

Physics
See previous post: Fri,10-13-13,2:36 AM.

Physics
See previous post: Fri,10-11-13,2:36 AM.

Physics
CORRECTION: Vo=89,000m/1h = 89000/3600s = 24.72 m/s a. V = Vo + va*t T = (V-V0)/a + Tr T = (0-24.72)/-4 + 2s.=8.18 s.=Stopping time. d = Vo*t + 0.5a*t^2 d=24.72*8.18 + 0.5*(-40*8.18*2=68.38 m. b. T = (0-24.72)/-8 + 2s = 5.09 s. d=24.72*5.09 + 0.5*(-8)*5.09^2= 22.19 m.

Physics
Vo=85000m/h = 85000m/3600s = 23.61 m/s. a. V = Vo + a*t T = (V-Vo)/a + Tr T = (0-23.61)/-4 + 2s = 7.9 s = Stopping time. d = Vo*t + 0.5a*t^2 d = 23.61*7.9 + 0.5*-4*7.9^2 = 61.7m b. T = (0-23.61)/-8 + 2s = 4.95 s. d=23.61*4.95 + 0.5*(-8)*4.95^2=18.86 m.

physics
a=(V^2-Vo^2)/2d a=(55^2-20^2)/3000=0.875m/s^2 V = Vo + a*t t = (V-Vo)/a = (55-20)/0.875 = 40 s.

Physics
Vo = 21m/s[41o] Xo = 21*c0s41 = 15.85 m/s. Yo = 21*sin41 = 13.78 m/s. D = Xo * Tf = 59 m. 15.85 * Tf = 59 Tf = 3.722 s. = Fall time. h = Yo*t + 0.5g*t^2 h = 13.78*3.722 + 4.9*3.722^2 = 119.2 m

AP physics c
a. Work = F * d = m*g/10 * d Work = 63*(9.8/10) * 10 = 617.4 Joules. b. Work=m*g * d = 63*9.8 * 10 = 6174 J.

physics
Vo=12mi/h * 1600m/mi * 1h/3600s.=5.33m/s a=(V-Vo)/t = (0-5.33)/1.9=-2.807 m/s^2.

physics PLEASE HELP ME
See previous post: Thu,10-10-13,7:27PM. thu,10-10-13,7:27 PM.

physics PLEASE HELP ME
See previous post: thu,10-10-13,7:27 PM.

physics PLEASE HELP ME
See previous post: Thu,10-10-13,7:46 PM.

Physics
a = (V^2-Vo^2)/2d a = (5^2-0)/39.2 = 0.6378 m/s^2.

consumer math
P = Po(1+r)^n n = 1comp./yr * 5yrs = 5 compounding periods. P = 15000(1.06)^5 = $20,73.38

Physics
h = 0.5g*t^2 = 35 m. 4.9t^2 = 35 t^2 = 7.143 Tf = 2.673 s. = Fall time. D = Xo * Tf = 18m/s * 2.673s = 48.11 m.

Physics
V^2 = Vo^2 + 2g*d = 46.5^2 Vo^2 + 19.6*55 = 2162 Vo^2 = 2162 - 1078 = 1084 Vo = 32.92 m/s.

Math
Decimal

science
Wt. = m * g = (67+12) * 9.8 = 774.2 N.

Physics
Vo = 10m/s[-25o] Xo = 10*cos(-25) = 9.063 m/s Yo = 10*sin(-25) = -4.226 m/s. a. D=Xo * Tf = 9.063m/s * 3.60s=32.63 m. b. h = Yo*t + 0.5g*t^2 h = -4.226*3.6 + 4.9*3.6^2 = 48.29 m. c. Y^2 = Yo^2 + 2g*h Y^2 = -4.226^2 + 19.6*48.29 = 964.3 m. Y = 31.05 m/s.

physics
If a single force is used: a = -255 + 650 = 395 m/s^2 F = m * a = 0.1 * 395 = 39.5 N. Along the +x axis. If 2 forces are used: F1 = 0.1 * (-255 = -25.5 N. Along the -x axis. F2 = 0.1 * 650 = 65 N. Along the +x axis. Fn = -25.5 + 65 = 39.5 N. = Net force Acting along the +x axis.

Physics
d = Vo*t + 0.5a*t^2 = 3600 m. 5*162 + 0.5a*162^2 = 3600 810 + 13122a = 3600 13122a = 3600-810 = 2790 a = 0.2126 m/s^2 V=Vo + a*t = 5 + 0.2126*162 = 39.44 m/s.

physics
P = F * d/t = mg * d/t P = 4.01*9.8 * 0.21/24 = 0.3439 J/h = 9.6*10^-5 J/s.

math
V = Vo + a*t = 0 30 - 4*t = 0 -4t = -30 t = 7.5 s. _

6th grade math
3 3/4 = 15/4. Wires=100in/(15/4) = 100 * 4/15 = 26 2/3 2/3 * 3 3/4 = 2/3 * 15/4 = 2.5 Inches left over. So we have 26-3 3/4 inch wires with 2.5 inches left over.

Physics
a. V = 343 m/s. b. L = V/F = 343/20 = 17.15 m.

physics
See previous post:Tue,10-8-13,5:11 PM.

physics
Fr = Y/sinA = 8.9/sin30 = 17.8 N.[30o]

physics
(Fr)^2 = 9.93^2 + 1.23^2 = 100.1 Fr = 10.0 N. = Resultant force. a = Fr/m = 10/3.02 = 3.31 m/s^2.

physics
V^2 = Vo^2 + 2g*h h = (V^2-Vo^2)/2g = (0-16^20/3.24=79 m.

Business Math
I = Po*(r/360)*d = 15 740*(r/360)*59days = 15 121.3r = 15 r = 0,1237 = 12.37%.

physics
See previous post:7:33 PM

physics
Range = Vo^2*sin(2A)/g = 63 m. Vo^2*sin(76)/9.8 = 63 0.0990Vo^2 = 63 Vo^2 = 636.3 Vo = 25.23 m/s[38o]

Physics
F = m * g = 2.5kg * 9.8N/kg = 24.5 N. d = (24.5N/50N) * 1m = 0.49m. = 49 cm. End of spring = 21 + 49 = 70 cm.

physics
V=Vo + g*t = -0.60 + 9.81*2.8=26.87 m/s d = Vo*t + 0.5g*t^2 d = -0.60*2.8 + 4.9*2.8^2 = 36.74 m below the pelican.

Science
F2 = F1 = m * g = 1kg * 9.8N/kg = 9.8 N. F1 = Force of the book. F2 = Force of ihe table. The 2 forces are equal and opposite.

math
P = 5*((3x) + (2x+2) + (5x-3) + (2x+2)) P=5*(3x+2x+2+5x-3+2x+2)=5*(12x+1)=60x+5

Business Math
I = Po*(r/360)*d I = 2500*(0.1175/360)*136days = $110.97 AMT. = 2500 + 110.97 = $2610.97

physics
X = 30 km/h Y = 5 km/h V^2 = 30^2 + 5^2 = 925 V = 30.4 km/h

chemistry
An aqueous solution of glucose is made by disolving 8.75 g of glucose in 100 mL of water. Calculate molarity, molality and the mole fraction

Algebra
Eq1: 3x-2y+2z = 30 Eq2: -x+3y-4z = -33 Eq3: 2x-4y+3z = 42 Multiply Eq1 by 2 and add Eq1 and Eq2: 6x-4y+4z = 60 -x+3y-4z = -33 Eq4:5x-y = 27 = Sum. Multiply Eq2 by 3 and Eq3 by 4 and add Eq2 and Eq3: -3x+9y-12z = -99 8x-16y+12z = 168 Eq5: 5x-7y = 69 Multiply Eq4 by -1 and add E...

science physics
a = (V-Vo)/t a = (12-4)/4 = 2 m/s^2.

physics
d = 26.2/cos25 = 28.91 m. = Distance the boat must travel to reach shore. T = d/r = 28.91m./4.5m/s = 6.42 s.

physics
T = d/r = 93Ft/2Ft/s = 46.5 s. To ride 93 Ft. V = d/T = 12Ft/46.5s. = 0.258 Ft./s.

Physics
Vo = 12m/s[20o] Xo = 12*cos20 = 11.28 m/s. Yo = 12*sin20 = 4.10 m/s. Y = Yo + g*Tr = 0 @ max. ht. 4.10 - 9.8Tr = 0 -9.8Tr = -4.10 Tr = 0.419 s. = Rise time. Tf = Tr = 0.419 s. T = Tr + Tf = 0.419 + 0.419 = 0.838 s.= Time in air.

physics
Vo = 26.9m/s[63.2o] Xo = 26.9*cos63.2 = 12.13 m/s. Yo = 26.9*sin63.2 = 24.01 m/s. Y^2 = Yo^2 + 2g*h h = (Y^2-Yo^2)/2g = (0-24.01^2)/-19.6 = 29.41 m.

Physics
h = Vo*t + 0.5g*t%2 = 45 m. h = 4.9t^2 = 45 t^2 = 9.18 Tf = 3.03 s. = Fall time. Dist. = Xo * Tf = 35 m. Xo * 3.03 = 35 Xo = 11.55 m/s = Hor. component of initial velocity. Yo = 0.

Physics
a. h1 = V1*t + 0.5g*t^2 h1 = 11*1 - 5*1^2 = 6 m. Head start. V^2 = V1^2 + 2g*h V^2 = 11^2 - 20*6 = 1 V = 1.0 m/s. h2=V2*t + 0.5g*t^2 = 6 + V*t + 0.5g*t^2 16*t - 5*t^2 = 6 + 1*t - 0.5g*t^2 The 0.5g*t^2 terms cancel: 16t - t = 6 15t = 6.0 t = 0.4 s. to catch up.

physics
V = 22m/s[-40.3o] Xo = 22*cos(-40.3) = 16.78 m/s. = Hor. component of initial velocity. Y = 22*sin(-40.3) = -14.23 m/s. Xo * Tf = 62.3 m. 16.78 * Tf = 62.3 Tf = 3.71 s. = Fall time. Y = Yo + g*Tf = -14.23 m/s. a. Yo + 9.8*3.71 = -14.23 Yo + 36.38 = -14.23 Yo = -14.23 - 36.38 =...

Physics
You didn't give all of the INFO. Density = m/V = 50kg/1m^3 = 50kg/m^3

physics
1. V = a*t = 1.8m/s^2 * 4.5s. = 8.1 m/s. X = 6.1 m/s. Y = 8.1 m/s. tan A = Y/X = 8.1/6.1 = 1.32787 A = 53o = Direction. 2. V = Y/sinA = 8.1/sin53 = 10.14 m/s.

physics
Vo = 20m/s[35o] Xo = 20*cos35 = 16.38 m/s. Yo = 20*sin35 = 11.47 m/s. a. Tr = (Y-Yo)/g = 0-11.47/-10=1.147 s = Rise time. h = Yo*t + 0.5g*t^2 = hmax = 11.47*1.147 - 5*1.147^2 = 6.58 m h = 0.5g*t^2 = 6.58-6 = 0.58 m. 5t^2 = 0.58 t^2 = 0.116 Tf = 0.341 s. = Fall time. Range=Xo*(...

Physics
a. Wr = m * g = 500kg * 9.8N/kg = 4900 N. b. a=Fn/m = (13500-4900)/500=17.2 m/s^2

physics
V^2 = Vo^2 + 2g*h Vo^2 = -2g*h = -2*-9.8*107 = 2097.2 Vo = 45.8 m/s. V = Vo + gt = 0 @ max. ht. Tr = (V-Vo0/g = (0-45.8)/-9.8 = 4.67 s. = Rise time. Tf = Tr = 4.67 s. = Fall time. T = Tr + Tf = 4.67 + 4.67 = 9.35 s. = Time in air.

physics
Wb = m * g = 74kg * 9.8N/kg = 725.2 N. = Weight of box. Fs = u * Wb = 1.1 * 725.2 = 797.7 N. = Force of static friction.

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