Thursday
July 24, 2014

Posts by Henry


Total # Posts: 8,898

physics
See previous post: Fri,11-29-13,8:15 PM.

physics. again.
V== Vo + g*t = 10 m/s. 37.8 + (-9.8)t = 10 -9.8t = 10-37.8 =-27.8 t = 2.84 s. h = Vo*t + 0.5g*t^2 h = 37.8*2.84 - 4.9*2.84^2 = 67.83 m.

physics
Fs = m*g = 22kg * 9.8N/kg = 215.6 N. = Force of the sled. Fp = 215.6*sin6 = 22.54 N. = Force parallel to the incline. Fn = 215.6*cos6 = 214.4 N. = Normal = Force perpendicular to the incline. Fk = u*Fn = 0.2 * 214.4 = 42.88 N. = Force of kinetic friction. V = 64km/h = 64000m/3...

5th grade math
I'm glad I could help, and thanks for your response.

5th grade math
4th Grade: 9 Left-handed students. Total = 3 * 9 = 27 Students. 9/27 = 1/3 Are left-handed. 5th Grade: 7 Left-handed students. Total = 30-2 = 28 Sudents. 7/28 = 1/4 Are left-handed. 6th Grade: 6 Left-handed students. Total = 27+3 = 30 Students. 6/30 = 1/5 Are left-handed. The ...

Physics
r2 = r1 + a*(T-To)r1 = 4.42 cm. 4.40 + 1.3*10^-4(T-20)4.40 = 4.42 4.40 + 5.72*10^-4(T-20) = 4.42 5.72*10^-4(T-20) = 4.42-4.40 = 0.02 5.72*10^-4T - 114.4*10^-4 = 0.02 5.72*10^-4T = 0.02 + 0.01144 = 0.03144 T = 314.4*10^-4/5.72*10^-4 = 54.97o

Math
Same procedure as previous post: Sun,12-1-13,7:39 PM.

Math
Given: A(-8,3), B(-6,1). m = -1 A(-8,3), P(x,y). m== -1. m = (y-3)/(x-(-8)) = -1 m = (y-3)/(x+8) = -1 Cross multiply: y-3 = -1(x+8) y-3 = -x-8 Eq: x + y = -5 Or x + y +5 = 0 Replace y with 0: x + 0 = -5 X = -5 = X-intercept. Replace X with 0: 0 + y = -5 Y = -5 = y-int.

Physics
Wr = m*g = 0.5kg * 9.8N/kg = 4.9 N = Wt. of the rat. Fp = 4.9*sin34 = 2.740 N. = Force to the plane. Fn = 4.9*cos34 = 4.062 N. Normal = Force perpendicular to the plane. Fk = u*Fn = 0.2 * 4.062 = 0.8125 N. Fc-Fp-Fk = m*a 0.4-2.74-0.8125 = m*a m*a = -3.15 a = -3.15/m = -3.15/0...

Physics
Fex = 15000 N. ? m = 500kg a = Fex/m = 15000/500 = 30 m/s^2.

physics
Change in L = Lo * a*(T-To) = 65.1 * 10^-5 * (-31.2-15.8) = -0.030597 m.

physics
Fap*cos45-u*mg = m*a Fap*cos45-0.02*588 = m*0 = 0 Fap * cos45 - 11.76 = 0 Fap*cos45 = 11.76 N. = Hor. component of Force applied. Work = 11.76 * 1000. = 11,760 Joules.

physics
a. Xl = 2pi*F*l = 6.28*50*0.405=127.2 Ohms Xc = 1/(6.28*50*4.43*10-6) = -718.9 Ohms tan A = (Xl-Xc)/R tan A = (127.2-718.9)/400 = -1.47925 A = -55.94o Z=R/cosA = 400/cos(-55.94) = 714.2 Ohms[-55.94o]= The Impedance. Vmax = Imax * Z=0.25 * 714.2 =178.6 Volts. b. The negative im...

physics
Fn = 75N[40o] + 85N[340o] X = 75*cos40 + 85*cos340 = 137.3 N. Y = 75*sin40 + 85*sin340 = 19.14 N. tan A = Y/X = 19.14/137.3 = 0.13940 A = 7.94o Fn=X/cosA = 137.3/cos7.94=138.6 N[7.94o]

PHYSICS
a. Xc = 1/2pi*F*c Xc = 1/(6.28*60*4*10^-6) = 663.5 Ohms. I = V/Xc = 120/663.5 = 0.181A rms. b. Same procedure as "a".

Physics
We need to know the length of the hill. Length = 100 m? A = 30o m = 75 kg h = 100*sin30 = 50 m. = Ht. of hill. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*50 = 980 V = 31.3 m/s At bottom of hill. V^2 = Vo^2 + 2a*d a=(V^2-Vo^2)/2d=(31.3^2-0)/200=4.9 m/s^2 V = Vo + a*t = 31.3 0 + 4.9*t = 3...

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

math
Discount = 2375*0.15*0.20*0.20 = $14.25

Physics
V1 = 6N[180o] X1 = -6N Y1 = 0 V2 = 4.5N[45o] X2 = 4.5*cos45 = 3.18 N. Y2 = 4.5*sin45 = 3.18 N. X = X1 + X2 = -6 + 3.18 = -2.82 N. Y = Y1 + Y2 = 0 + 3.18 = 3.18 N. tan Ar = Y/X = 3.18/-2.82 = -1.12766 Ar = -48.43o = Reference angle. A = -48.43 + 180 = 131.6o R=Y/sinA = 3.18/sin...

Finance - Annuities
P = Po*(1+r)^n P = $2250/mo. * 48mo. = $108,000 r = (3%/12)/100% = 0.0025 = Monthly % rate expressed as a decimal. n = 1comp./mo * 48mo = 48 Compounding periods. a. P = (Po-12000)*(1.0025)^48 = 108,000 (Po-12000)*1.12733 = 108000 Po-12000 = 95,801.75 Po = $107,801.75 = Initial...

math
A*(1-0.0653) = 1,225,000 A*0.9347 = 1225000 A = 1,310,580.94

physics
F1 = m*g = 1.6kg * 9.8N/kg = 15.68 N F2 = (0.05m/1m) * 400N = 20 N. F1-Fs = m*a 15.68-Fs = m*0 = 0 Fs = 15.68 = Force of static friction. Fs = u*F2 = 15.68 u*20 = 15.68 u = 0.784 = Coefficient of static friction.

Physic: Projectile Motion
Range = Vo^2*sin(2A)/g = 15 m. Vo^2*sin(40)/9.8 = 15 Vo^2*0.0656 = 15 Vo^2 = 228.7 Vo = 15.12 m/s.

Math
2. A cube has 6 edges. As = 6 * 3^2 = 6 * 9 = 54 Sq. In.

finance
1. P = (Po*r*t)/(1-(1+r)^-t) r = (9%/12)/100% = 0.0075 = Monthly % rate expressed as a decimal. t = 12mo/yr * 5yrs. = 60 Months. Plug th above values into the givenEq and get: P = $12,455.01 I = P-Po 2. Monthly = P/t 3. P = Po + Po*r*t Po = $10,000 r = 0.0075 t = 60 Months Plu...

physics
Fap-Fk = m*a 30-Fk = 2 * 10 = 20 Fk = 30-20 = 10 N. = Force of kinetic friction.

geometry
See Related Questions: Thu,5-25-11,11:28 AM.

Science, Physics, math, calculus
a. h = 0.5g*t^2 = 0.77 4.9t^2 = 0.77 t^2 = 0.1571 t = 0.396 s. = Fall time. Dx = Xo * t = 5.15 m. Xo * 0.396 = 5.15 Xo = 13 m/s = Break speed. b. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*0.77 = 15.09 V = 3.88 m/s

Physics
h = 0.5g*t^2 = 50 m. 4.9t^2 = 50 t^2 = 10.2 Tf = 3.19 s. = Fall time. d = V*Tf = 100m/s * 3.19s = 319 m.

PHYSICS
CORRECTION: T = 1.15 Milliseconds.

PHYSICS
CORRECTION: d. Vr = I*R = (0.8*0.857)*7 = 4.8 Volts Vi=6-4.8=1.2 Volts across the inductor. V/e^(T/0.714) = 1.2 6/e^(1.40T) = 1.2 e^1.40T = 6/1.2 = 5 1.40T*Ln e = Ln 5 1.40T = 1.609 T = 1.15 s. 7 =

PHYSICS
a. T.C.=L/R=5.0/7=0.714 Milliseconds b. T/TC = 0.25mS/0.714mS = 0.350 Vi = V/e^(T/TC) = 6/e^0.350 = 4.23 Volts after 250 uS. I=Vr/R = (V-Vi)/R = (6-4.23)/7= 0.253A. c. I=Vr/R = (V-Vi)/R = (6-0)/7 = 0.857A d. Vr=I*R = (0.8*0.857)*7 = 4.80 Volts. Vi = 6-4.8 = 1.2 Volts. = Voltag...

Math
Incomplete.

physics
Fr = 975N[0o] + 745N[60o] + 1175N[90o] X=975 + 745*cos60 + 1175*cos90=1347.5 N Y = 745*sin60 + 1175*sin90 = 1820.2 N. tan A = Y/X = 1820.2/1347.5 = 1.31079 A = 53.5o Fr = Y/sin A = 1820.2/sin53.5=2264.3 N. [53.5o].

physics
Ht. = 50 m.? a. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*50 = 980 V = 31.3 m/s. b. V = Vo + g*t = 31.3 m/s. 0 + 9.8t = 31.3 t = 3.19 s. c. m = 2.0Lb * 0.454kg/Lb = 0.908 kg. KE = m*V^2/2 = 0.908*31.3^2/2 = 444.8 J.

physics
Ws = m*g = 77.7kg * 9.8N/kg = 761.5 N = Wt. of skier. Fp = 761.5*sin35.7 = 444.3 N. = Force parallel to slope. Fn = 761.5*cos35.7 = 618.4 = Normal = Force perpendicular to slope. Fk = u*Fn = 0.08 * 618.4 = 49.47 N. = Force of kinetic friction. Fp-Fk = m*a a=(Fp-Fk)/m=(444.3-49...

science
KE = 0.5m*V^2 = 2.5*4^2 = 40 J.

Please help!- Physics
d = 483[180o ] + 347[106o] + 347[106o] d = 483[180 + 694[106o] X = 483*cos180 + 694*cos106 = -674.3 km Y = 483*sin180 + 694*sin106 = 667.1 km tan Ar = Y/X = 667.1/-674.3 = -0.98935 Ar = -44.69o = Reference angle. A = 180-44.69 = 135.3o d = X/cosA = -674.3/cos135.3 = 948.7 km [...

Math
Incomplete.

physics
3.2 cm from equilibrium position: KE + PE = mg*d 0 + PE = mg*d/2 Halfway to the equilibrium position: KE + PE = mg*d mg*d/2 + mg*d/2 = mg*d KE = mg*d/2 = 0.5m*V^2 0.5m*V^2 = mg*d/2 = 3.92*0.032/2 0.2*V^2 = 0.06272 V^2 = 0.3136 V = 0.56 m/s.

Physics
CORRECTION: V = 81.6km/h[74.93o] D = 245 km[74.93o]

Physics
V = 100km/h[90o] + 30km/h[315o] X = 100*cos90 + 30*cos315 = 21.21 km/h Y = 100*sin90 + 30*sin315 = 78.79 km/h tan A = Y/X = 78.79/21.21 = 3.71461 A = 74.93o V=Y/sinA = 78.79/sin74.93=81.6 km/h [78.79] D=V*t = 81.6[78.79] * 3 = 245 km[78.8o]

Math
Parallel lines have equal slopes.

Math
Parallel lines have equal slopes.

Math
Parallel lines have equal slopes.

Math
2x - 3 = 4y Eq1: 2x - 4y = 3 m1 = -A/B = -2/-4 = 1/2 m2 = -(2/1) = -2 Y = mx + b Eq2: Y =-2x - 5/4.

Math
See previous post: Wed,11-20-13,6:18PM.

Math
Eq1: x + 2y = 10. m1 = -A/B = -1/2 The slope of the 2nd line = the negative reciprocal of m1: m2 = -(-2/1) = 2. Y = mx + b Eq2: Y = 2x - 10 or 2x - y = 10

physics
Energy = 120 * 5 *6h /1000=3.6 KWh Used Cost = 3.6kwh * 0.090/kwh = 0.324 or 32.4 Cents.

Physics
L = h/sin A = 2/sin 30 = 4 m. = Length of incline. KE = mg*h-Fk*L 0.5m*V^2 = mg*h-Fk*l 0.2*4.50^2 = 3.92*2 - Fk*4 4.05 = 7.84 - 4Fk 4Fk = 7.84-4.05 = 3.79 Fk = 0.948 N. = Force of kinetic friction.

physics
Fn = m * a =47 * 4.50

Physics
Yes. For a given initial velocity, the larger the angle the greater the vertical component of initial velocity. The increase in vertical velocity causes an increase in the max. ht.

Physics - projectile
V = Vo = 50 m/s.

Physics
b. h = Vo*t + 0.5g*t^2 = 3.05 8t + 4.9t^2 - 3.05 = 0 Use Quadratic Formula and get: t = 0.319 s. c. V^2 = Vo^2 + 2g*h V^2 = 8^2 + 19.6*3.05 = 123.78 V = 11.13 m/s.

MATH
A. Y = ho - 8X ho = The initial ht. B. When he got on the elevator, it was at the initial height(ho) and decreased at a rate of 8 feet per second for 12 seconds. C. Y = ho _ 8x = 240 Ft. ho - 8*12 = 240 ho = 240 + 96 = 336 Ft. above gnd. D. Y = 336 - 8x = 0 336 - 8x = 0 8x = 3...

math
N = 0.57 * 11

Physics
d = 0.5g*t^2 = 75 4.9t^2 = 75 t^2 = 15.31 Tf = 3.912 s. = Fall time. d = V*Tf = 7-4 = 3 m. V * 3.912 = 3 V = 0.769 m/s.

math
Did your book give the total # of Robinsons? Something is missing.

physical science
P = F * d/t = 96 * 2.8/4.6 = 58.43 J/s = 58.43 Watts.

college algebra
4^(x-3) = 3^(2x) (x-3)*Log4 = 2x*Log 3 Divide both sides by Log 4: x-3 = 2x * 0.79248 = 1.5850x x - 1.5850x = 3 -0.5850x = 3 X = -5.1282

science
Magnitude = 210 N. Direction = 30o South of West = 210o CCW.

science
Magnitude = 200 N. Direction = 60o North of East = 60o CCW.

science
Magnitude = 125 N. Direction = North(Positive Y-axis).

math
Sally has X postcards. Marta has X postcards. X = 4(X-18) Solve for X.

Math
Y = 5 For all values of X. (0,5),(5,5),(2,5),(-3,5).

science
500+(65-47)sk/wk*105days*1wk/7days=770 Skunks.

Phyics
d1 = 0.5a*t^2 = 15 m. 0.5*t^2 = 15 t^2 = 30 T1 = 5.477 s. V = a*t = 1m/s^2 * 5.477s = 5.477 m/s. d2 = V * t = 5.477m/s * 15s = 82.2 m. D = d1 + d2 = 15 + 82.2 = 97.2 m. = Distance at which he was caught. T = T1 + T2 = 5.477 + 15 = 20.48 s To catch up.

math
(25%/15%/10% = (1-0.25)(1-0.15)(1-0.10)= 0.75 * 0.85 * 0.90 = 0.57375

math
a. X + 27.80*20 = 914 X = $358. b. C = 358 + 27.80x X = The number of years since 1981. c. 2000-1981 = 19 years. C = 358 + 17.80*19 = $528.20

Check my answers please- Physics
1. A force that makes the net force on an object 0. 2. It is equal in magnitude and opposite in direction. 3. An object in equilibrium must not be in motion. 7. 90 N.

algebra2
See previous post: Mon,11-18-13,11:59 AM.

algebra2
CD: $X Savings: $4X Mutual: $(15,000-5X) 0.02X + 0.01*4X + 0.1(15000-5x) = 210 0.06X + 1500 - 0.5X = 210 -0.44X = 210-1500 = -1290 X = 2931.82 4X = 4*2931.82 = $11,727.27 = Savings.

math
Bal. = 423.78 + 123.42 - 100 = 447.20 Int. = 447.20 *(0.15/12) * 1 = $5.59

Physics
Incomplete.

Business math
P = Po*(1+r)^n r = (0.75%/365)/100% = 2.055*10^-5 = Daily % rate expressed as a decimal. n = 1comp./day * 21days = 21 compounding periods. Plug the above values into the given Eq and get: $9,0003.88

physic
Vo=36mi/h * 1600m/mi * 1h/3600s=16 m/s. V = Vo + a*t = 0 16 + a*2.4 = 0 2.4a = -16 a = -6.67 m/s^2. F = m*a = 58 * (-6.67) = -386.7 N. The negative sign means that the force was in the opposite direction of the motion.

Math
P = 350hp * 746W/hp = 261,100 Watts.

physics
Wb = m*g = 7.6kg * 9.8N/kg = 74.48 N. = Wt. of block. Fs = 8 N ? Fs = us*Fv = 8 N. us*74.48 = 6 us = 0.081

geometry
See previous post: Sat, 11-16-13, 7:13 PM.

GEOMETRY
1. Triangle #1 a = 8 b = 15 c = 18 Triangle #2: d = 10 e = ? f = ?. a/d = b/e = c/f = 8/10 15/e = 8/10 e = 18.75 18/f = 8/10 f = 22.5 2. Scale Factor=5/4 = 15/12=25/20 = 1.25 3. x/r = y/p = z/n.

physics
Fn = m*a m = Fn/a = 50/25 = 2 kg

Trig
V1 + V2 = 1200[70o] + 900[205o] X = 1200*cos70 + 900*cos205 = -405.3 Y = 1200*sin70 + 900*sin205 = 747.3 tanAr = Y/X = 747,3/-405.3 = -1.84376 Ar = -61.53o = Reference angle. A = -61.53 + 180 = 118.5o Vr = Y/sinA = 747.3/sin118.5 = 850.3[118.5o] = Resultant vector.

nature of science
A. The speed and direction.

Math
V1 = 1.5 *1.5 * 0.25 = 0.5625 in^3. V2 = 3.25 * 3.50 * 0.25 = 2.844 in^3. V2/V1 = 2.844/0.5625 = 5.056 = 505.6%. % Increase = 505.6% - 100% = 405.6 %.

physics
h = 9.7*sin30 = 4.85 m. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*4.85 = 95.06 V = 9.75 m/s.

Physics
F1=m*g = 0.151[26.2o]*9.8=1.480N[26.2o] F2 = 0.215[281o]*9.8 = 2.107N[281o] F3[Ao] F = F1 + F2 + F3 F=1.480N[26.2o] + 2.107N[281] + F3[Ao] X = 1.480*cos26.2+2.107*cos281+F3*cosA=0 X = 1.328 + 0.4020 + F3*cosA = 0 F3*cosA = -1.73 cosA = -1.73/F3. Y = 1.480*sin26.2+2.107*sin281+...

MATH
P = Po + Po*r*t P = 15,000 + 15,000*0.045*(8/12) Solve for P.

Math
6w + 20 = 60 6w = 40 W = 6 4/6 or 7 Weeks.

4th grade math
1. a/7 = 20 Multiply both sides by 7: a = 7 * 20 = 140. Check: 140/7 = 20 2. Same procedure as #1. 3. Same procedure as #1.

Physics
a. F*cos20-Fk = m*a = m*0 = 0. F*cos20-u(Fn+F*sin20) = 0 300*cos20 - u(1000+300*sin20) = 0 281.9 - 1102.6u = 0 1102.6u = 281.9 u = 0.256 = Coefficient of kinetic friction. b. m*g = 1000N. m = 1000/g = 1000/9.8 = 102 kg. 300*cos20 - 0.256(1000-300*sin20)=m*a 281.9 - 229.7 = m*a...

math
Scott ate X Fries Mike ate (2x+1) Fries. Holly ate (x-5) Fries. Total fries ordered = Fries ate + 6: ORDER = X + (2x+1) + (x-5) + 6 = 4x + 2.

physics
Tr + Tf = 4.8s. = Rise time + Fall time = Time in air. Tr = Tf = 4.8/2 = 2.4 s. Dx = 60yds * 3Ft/yd * 1m/3.3Ft=54.55 m. Dx = Xo * (Tr+Tf) = 54.55 m. Xo * 4.8 = 54.55 Xo = 11.36 m/s. = Hor. component of initial velocity. Y = Yo + g*Tr = 0 @ max ht. Yo - 9.8*2.4 = 0 Yo = 23.52 m...

physics
See your 6:11 PM post.

physics
Work = F*d = 1 * 2000 = 2000 Joules. Calories = 2000J * 1cal/4.184J = 478

Physics
V = 90km/h = 90000m/3600s = 25 m/s. a = (V-Vo)/t = (25-0)/6 = 4.167 m/s^2 d = 0.5a*t^2 = 0.5*4.167*6^2 = 75 m. P = F*d/t = mg * d/t P = 13720 * 75/6 = 171,500 J/s.

Math-Algebra
1. F = m*a = 25 * 3 = 75 N.

Fly Ball Lab - Projectile Motion Please HELP FAST!
Dx = Xo * T = 48.9 m. Xo * 3.60 = 48.9 Xo = 13.58 m/s = Hor. component of initial velocity. Tr = Tf = T/2 = 3.60/2 = 1.80 s. = Rise and fall times. Y = Yo + g*Tr = 0 @ hmax. Yo - 9.8*1.8 = 0 Yo = 17.64 m/s = Ver. component of initial velocity. tan A = Yo/Xo = 17.64/13.58 = 1.2...

math
0.25 - (-1.5) = 0.25 + 1.5 = 1.75

math
1 1/2 - 2 = 3/2 - 4/2 = -1/2.

Physics
1. F = 250*2 + 25 = 525 N. Work = F*d = 525 * 2 = 1050 Joules. 2. P = F*d/t = 525 * 2/3 = 350 J/s. = 350 Watts.

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