Wednesday
July 1, 2015

Posts by Henry


Total # Posts: 10,677

physics
M*g = 45 * 9.8 = 441 N. = Wt. of trunk. Fn = 441 + F*sin33. Fs = u*Fn = 0.55(441+F*sin33) = 242.6 + 0.3F. (F-Fs) = M*a. (F-(242.6+0.3F) = M*0. F - 242.6 - 0.3 = 0 0.7F = 242.6. F = 347 N.
June 23, 2015

physics
M1*V1 + M2*V2 = M1*V3 + M2*V4 1100*22 + 2300*0 = 1100*(-11) + 2300*V4 24,200 = -12,100 + 2300V4 2300V4 = 36,300 V4 = +15.8 m/s = Velocity of the truck.
June 19, 2015

physics
Correct answer = 92%
June 19, 2015

physics
496/1127 = 0.44 = 44% sin A = 0.85/2.1. A = 23.9o. Fp = 1127*sin23.9 = 457 N. = Force parallel to the ramp. Fn = 1127*Cos23.9 = 1,030 N. = Force perpendicular to the ramp = Normal force. Eff. = Fp/Fap = 457/496 = 0.92 = 92%
June 19, 2015

physics
T1[26.5o] and T2[131.5o], CCW. T1*Cos26.5 + T2*Cos131.5 = 0 T1*Cos26.5 = -T2*Cos131.5 T1 = 0.74T2 T1*sin26.5 + T2*sin131.5 + 115*sin270 = 0. Replace T1 with 0.74T2: 0.74T2*sin26.5 + T2*sin131.5 + 115*sin270 = 0. 0.33T2 + 0.749T2 - 115 = 0 1.079T2 = 115. T2 = 106.6 N. T1 = ....
June 17, 2015

Physics
a. V^2 = Vo^2 + 2g*h = 0 h = -Vo^2/2g = -225/-19.6 = 11.5 m. b. V = Vo + g*Tr = 0. Tr = -Vo/g = -15/-9.8 = 1.53 s. = Rise time. 0.5g*Tf^2 = 11.5-5 = 6.5 m. 4.9Tf^2 = 6.5 Tf^2 = 1.33 Tf = 1.15 s. = Fall time. Tr+Tf = 1.53 + 1.15 = 2.68 s. To catch the ball.
June 17, 2015

Physics
d1 = 0.5a*T1^2 = 45 m. Solve for T1. 0.5*0.88*T1^2 = 45. T1^2 = 102.3 T1 = 10.11 s. to run the 1st 45 m. V = a*T1 = 0.88*10.11 = 8.9 m/s. d2 = V*T2 = 8.9 * T2 = 100-45 = 55 m. T2 = 55/8.9 = 6.18 s. To run the last 55 m. T = T1+T2 = 10.11 + 6.18 = 16.29 s. to run the race.
June 17, 2015

Physics
a = (Fap-Fk)/M = (25-10)/5 3 m/s^2. d = 0.5a*t^2.
June 17, 2015

math help please
Po = 575-25 = $550 = Amount of loan. I = Po*r*t = 550*0.15*2yrs = $165. P = Po + I = 550 + 165 = $715 = Total cost. P/t = 715/24mo. = $29.79/mo.
June 17, 2015

science
F = ma. a = F/m = -2500/1125 = -2.22 m/s^2.
June 17, 2015

physics
V^2 = Vo^2 + 2a*d = 0 10^2 + 2a*0.04 = 0 2a*0.04 = -100 a = -1250 m/s. Note: The negative sign means that the acceleration opposes the motion.
June 17, 2015

secondary
Do you mean: y+2x/4 = x/3 or (y+2x)/4 = x/3 y + 2x/4 = x/3 Multiply both sides by 12: 12y + 6x = 4x. 2x + 12y = 0. m = -A/B = -2/12 = -1/6. (y+2x)/4 = x/3. Multiply both sides by 12: 3y + 6x = 4x. 2x + 3y = 0 m = -A/B = -2/3.
June 16, 2015

furthe math
Parallel lines have equal slopes(gradients): m1 = m2 = -3.
June 16, 2015

further mathematic
Parallel lines have equal gradients(slopes); m1 = m2 = -3.
June 16, 2015

Science
M*g = 9.5 N. M*9.8 = 9.5 M = 0.969 kg. Wt. = M*g = 0.969 * 1.64 = 1.58 N.
June 16, 2015

Maths
Area = 364/16 = 22.75 m^2 Width = W meters. Length = W+3 meters. Area = (W+3) * W = 22.75 W^2 + 3W - 22.75 = 0 Use Quadratic Formula: W = 3.5 meters = Width.
June 15, 2015

basic electronics
R3 = R Ohms. R2 = 2R Ohms. R1 = 2R/3 Ohms. 1/R1 + 1/R2 + 1/R3 = 1/1000 1/(2R/3) + 1/2R + 1/R = 1/1000 3/2R + 1/2R + 1/R = 1/1000 3/2R + 1/2R + 2/2R = 1/1000. 6/2R = 1/1000. 3/R = 1/1000. R/3 = 1000. R = 3000 Ohms. R1 = 2R/3 = 6000/3 = 2000 Ohms. R2 = 2R = 2*3000 = 6000 Ohms. ...
June 14, 2015

Physics
15t = 5 t = 0.333h = 20 min. 11.6t = 5 t = 0.431h = 26 min. T = 26 - 20 = 6 min. waiting time.
June 12, 2015

Physics
Y^2 = Yo^2 + 2g*h = 0 Yo^2 - 19.6*0.0674 = 0 Yo^2 = 1.32 Yo = 1.15 m/s = Ver. component of initial velocity. Yo = Vo*sin50 = 1.15 Vo = 1.15/sin50 = 1.50 m/s = Initial velocity. Xo = Vo*Cos50 = 1.50*Cos50 = 0.964 m/s = Hor. component of initial velocity. Dx = Xo*T = 1.06 m. 0....
June 12, 2015

Science
1. F max = 20 + 20 = 40 N. @ 0o. 2. The velocity is zero and not changing; therefore, the acceleration is zero also. F = M*a = M*0 = 0.
June 12, 2015

Science
20 + 20 = 40 N. @ 0o. Answer = 0o.
June 12, 2015

physics
Correction: Vo = 49 m/s.
June 11, 2015

physics
First Stone: d = 0.5g*t^2 = 35 m. 4.9t^2 = 35 t^2 = 7.14 t = 2.67 s Second Stone: t = 2.67-2.0 = 0.67 s. to travel 35 m. d = Vo*t + 0.5g*t^2 d = Vo*0.67 + 4.9*0.67^2 = 35 Vo*0.67 = 35 - 2.2 = 32.8 Vo = 49 m
June 11, 2015

science
P = 10*Cos30 = 8.66 N. Q = 10*Cos(90-30) = 5 N.
June 8, 2015

Math
Cos x = -0.40 X = 113.6o
June 7, 2015

physics
Fr = ((Vs+Vt)/(Vs-Vd))*Fd Fr = ((343+42.6)/(343-0))*95300Hz = 107,136 Hz = Freq. reflected.
June 5, 2015

Physics
V^2 = Vo^2 + 2g*h = 1 10^2 - 19.6h = 1 -19.6h = -99 h = 5.05 m.
June 2, 2015

physics
M*g = 25kg * 9.8N/kg = 245 N. = Wt. of block. = Normal(Fn). Fap = 120 N. = Force applied. Fk = u*Fn = 0.34 * 245 = 83.3 N. a = (Fap-Fk)/M m/s^2.
June 2, 2015

Digital Circuits
b. Limit current.
May 31, 2015

geometry
(8,-1), (5,-2), (x,y) 5-8 = 1/3(x-8) -9 = x-8 X = -1 -2-(-1)) = 1/3(y-(-1)) -1 = 1/3(y+1) -3 = y+1 Y = -4
May 31, 2015

geometry
(8,-1), (5,-2), (x,y) x-5 = 1/3(x-8) 3x-15 = x-8 2x = 7 X = 3.5 y-(-2) = 1/3(y-(-1)) y+2 = 1/3(y+1) 3y+6 = y+1 2y = -5 Y = -2.5
May 31, 2015

mechanics of dynamic
55km/h * 2h = 110 km Head start. d1 = d2 110 + 55*t = 80t -25t = -110 t = 4.4 Hours.
May 31, 2015

math
Tan 45 = h/d1 h = d1*Tan45 Tan55 = h/(d1-40) h = (d1-40)*Tan55 h = d1*Tan45 = (d1-40)*Tan55 d1*1 = (d1-40)*Tan55 Divide both sides by Tan55: 0.7d1 = d1-40 0.3d1 = 40 d1 = 133.3 Ft. h = d1*Tan45 = 133.3 * 1 = 133.3 Ft.
May 30, 2015

physics
Tan A = Y/X = 35/-12 = -2.91667 A = -71.1o = 71.1o N. of W.
May 30, 2015

college geometry
Another Method: a. X = (3+5)/2 = 4 Y = (4+1)/2 = 2.5
May 28, 2015

college geometry
a. A(3,4), C(x,y), B(5,1). Points A and B are equidistance from C: x-3 = 5-x X = 4 y-4 = 1-y Y = 2 1/2 b. A(0,2), C(x,y), B(0,6). x-0 = 0-x X = 0 y-2 = 6-y Y = 4 c. Same procedure as a, and b. d. A(2a,0), C(x,y), B(0,2b). x-2a = 0-x 2x = 2a X = a y-0 = 2b-y 2y = 2b Y = b
May 28, 2015

science
F = M*a a = F/M = 52.2/3.47 = 15 m/s^2 V = Vo - a*t V = 0 Vo = 17.4 m/s a = 15 m/s^2 t = ?
May 28, 2015

Trig/Geometry
Tan 15 = h/d Tan 15 = 145/d d = 145/Tan 15 = 541.2 Ft. Or if the angle between the line of sight and the ver.(145Ft) is 15o, then Tan 15 = d/145 d = 145*Tan 15 = 38.85 Ft.
May 28, 2015

physics eduction
k = 50N/(25-20)cm = 10N/cm. Length = 20cm + 100N*1cm/10N = 30 cm.
May 28, 2015

physics
Fn = 8.7[125o] + 12.9[0o] X = 8.7*Cos125 + 12.9 = 7.91 N. Y = 8.7*sin125 = 7.13 N. Fn = sqrt(X^2+Y^2) = sqrt(7.91^2*7.13^2) = 10.65 N.
May 28, 2015

Science
Correct.
May 27, 2015

physics
a = F/M = 35/0.2 = 175 m/s^2 V = Vo + a*t = 0 + 175 * 0.018 = 3.15 m/s
May 27, 2015

Algebra 1
Eq1: Y = x^2 + 5x - 9 Eq2: Y = 2x + 1 ? In Eq1, replace Y with 2x + 1 2x + 1 = x^2 + 5x - 9 x^2 + 5x - 9 - 2x - 1 = 0 x^2 + 3x -10 = 0 -10 = -2*5. Sum = -2 + 5 = 3 = B. (x-2)(x+5) = 0 x-2 = 0 X = 2 Y = 5.(Substitute 2 for x in Eq1 or Eq2) x+5 = 0 X = -5 Y = -9(Substituted -5 ...
May 25, 2015

Algebra
Viruses = 30 * 9/3 * 2 = 180
May 25, 2015

math
P = Po(1+r)^n r = (0.06/4) = 0.015 = Quarterly % rate expressed as a decimal. n = 4Comp./yr. * 5yrs. = 20 Compounding periods. P = 8500(1.015)^20 = 11,448.27 I = = (P-Po)/T = (11448.27-8500)/5 = 589.65 = Int. per yr. APR = 589.65/8500 = 0.0694 = 6.94%
May 22, 2015

physics
Vo = 30mi/h = 30*5280Ft/3600s = 44 Ft/s V^2 = Vo^2 + 2g*h = 0 h = -Vo^2/2g + ho = -(44^2)/-64 + 160 = 190.25 Ft above gnd. V^2 = Vo^2 + 2g*h = 0 + 64*190.25 = 12,176 V = 110.3 Ft/s.
May 21, 2015

physics
D = -52 + 44[146.8o] + 25i D = -52 + -36.8 + 24.1i + 25i D = -88.8 + 49.1i, Q2.
May 21, 2015

physics
Density = M/V = 7.55kg/680m^3 = 0.0111kg/m^3 Note: The vol. of the water dispersed = The Vol. of the statue.
May 21, 2015

math
V = Vo + Vo*r*t V = 8000 + 8000*(0.10/360)*240 = $8,533.33
May 20, 2015

physical science
Fg = M*g = 675 N. M*9.8 = 675 M = 69 kg
May 20, 2015

Physics
Fp = Mg*sin A = Force parallel to the incline and acting downward. When the angle is increased, Fp increases which increases the acceleration: a = Fp/M. Friction is assumed to be negligible. The increase in acceleration results in an increase in velocity: V = a*t.
May 19, 2015

physics
Xo = 40*Cos60 = 20 mi/h.
May 18, 2015

math
An oil painting is worth $400. Its value increases by 7% each year(compounded annually) What is the value of the painting after 6 years? How would the graph change of the initial value of the oil painting was more than $400? Less than $400?
May 18, 2015

math
V = Vo(1+r)^6 Vo = 400 r = 0.07 V = ?
May 18, 2015

science
PE = M*g*h Joules M = 5kg g = 9.8 m/s^2 h = 100 m PE = ?
May 18, 2015

physics
Vbc = Vb + Vc = 6m/s[115o] Vb - 3 = 6*cos115 + 6*sin115 Vb - 3 = -2.54 + 5.44i Vb = 0.46 + 5.44i, Q1 Tan A = Y/X = 5.44/0.46 = 11.82609 A = 85.2o N. of E. = 4.8o W. of N. = Direction. Vb = Y/sin A = 5.44/sin 85.2 = 5.46 m/s.
May 18, 2015

Physics
F = -40 + 50[23o] X = -40 + 50*Cos23 = 6.02 N. Y = 50*sin23 = 19.5 N.
May 18, 2015

physics
M*g = 8 * 9.8 = 78.4 N. = Wt. of block. Fp = 78.4*sin40 = 50.4 N. = Force parallel to the incline. Fn = 78.4*cos40 = 60.1 N. = Normal force Fk = u*Fn = 0.35 * 60.1 = 21 N. = Force of friction. a = (Fp-Fk)/M = (50.4-21)/8 = 3.68 m/s^2 d = 0.5a*t^2 = 0.5*3.68*3^2 = 16.54 m.
May 18, 2015

PHYSICS
Vbw = 1km/15Min = 1km/0.25h = 4km/h = Velocity of boat with respect to the water. Vbw = Vb + Vw = 4i 5i + Vw = 4i Vw = -1i = 1km/h[-90o] = 1km/h Due South
May 18, 2015

PHYSICS
Vsw = Vs + Vw = 10 + 5i, Q1. Tan A = Vw/Vs = 5/10 = 0.500 A = 26.6o E. of N. Direction = 26.6o W. of N.
May 18, 2015

math
P = Po + Po*r*t P = 10000 + 10000*(0.1219/360)*60 P = 10000 + 203.17 = $10,203.17 On 60th day. I = (10,203.17-5000)*(0.1219/360)*60 = $105.71 For last 60 days. It = 203.17 + 105.71 = $308.88 = Total int. paid. I = 10000*(0.1219/360)*120 = $406.33 For 120 days. 406.33 - 308.88...
May 16, 2015

algebra
12x + 16y = 150
May 14, 2015

math
See Related Questions: Fri, 8-31-12, 1:49 AM.
May 14, 2015

math
See previous post: Thu, 5-14-15, 1:23 PM
May 14, 2015

math
1. 16t^3 - 50t^2 + 36t = 2t(8t^2 - 25t + 18) A*C = 8*18 = 144 = -9*(-16). Sum = -25 = B. 2t((8t^2-16t) - (9t-18)) 2t(8t(t-2) - 9(t-2)) = 2t(8t-9)(t-2) 4. y^2 + 12y + 35 35 = 7*5, Sum = 7 + 5 = 12 = B. (y+7)(y+5)
May 14, 2015

math
12N * 20N = 360 240N^2 - 360 = 0 2N^2 - 3 = 0 2N^2 = 3 N^2 = 1.5 N = 1.225 = 122.5% %Increase = 122.5% - 100% = 22.5% = The amount each dimension is increased. Length = 20 * 1.225 = 24.5 Ft. Width = 12 * 1.225 = 14.7 Ft. Area = 24.5 * 14.7 = 360.15 Ft^2.
May 13, 2015

Math
d = 15*cos58 = 7.95 m. = Distance from base of the wall. Cos A = d/L = 7.95/12.6 = 0.63086 A = 50.9o
May 13, 2015

geometry
a. (h,k) = (2,-3) b. r = sqrt 9 = 3 D = 2*r = 2 * 3 = 6
May 13, 2015

Math
P = Po + Po*r*t P = 2500 + 2500*(0.11/12)*6 = Note: (0.11/12) = Monthly % rate.
May 13, 2015

Physics
2Hz = 2 cycles/s(c/s). Circumference = pi*2r = 3.14 * 10 = 31.4 m. V = 2c/s * 6.28rad/c = 12.56 rad/s
May 13, 2015

Math
Score = 4 * 14 = 56 Points
May 13, 2015

Math
P = Po + Po*r*t = $1312.50 1200 + 1200*(r/12)*9 = 1312.50 900r = 1312.50 - 1200 = 112.50 r = 0.125 = 12.5% APR.
May 13, 2015

Math
Cost = 100% - 3% = 97% of original price 0.97Po = 4195.25 Po = $4,325
May 13, 2015

Electronics, Physics, Math
E = 30 Vdc R1 = 80 Ohms R2 = 1,000 Ohms R3 = 4,200 Ohms V2 = ? I = E/(R1+R2+R3) = 30/5,280 = 0.00568A V2 = I * R2 =
May 12, 2015

Physics
Impulse = F*t = 25 * 0.16 = 4
May 12, 2015

algebra 2
Y = x^2 - 5x + 4 h = Xv = -B/2A = 5/2 = 2.50 = Value of X at the vertex. k = 2.5^2 - 5*2.5 + 4 = -2.25 = Value of Y at the vertex. D(2.5,Y1), V(2.5,-2.25), F(2.5,Y2) In a y-parabola, the y-coordinates vary while the x-coordinates remain constant and is equal to h(2.50). The ...
May 12, 2015

physics
M1*V1 + M2*V2 = M1*V + M2*V 1030*3.4 + 1140*0 = 1030V + 1140V V = ?
May 12, 2015

physics
Select: R1 = 33k R2 = 120k R3 = 120k 1/Req = 1/33k + 1/120k + 1/120k = 0.0469697k Req = 21.3k
May 12, 2015

Electronics, Physics
Correction: Rt = 10 + (60*5)/(60+5) = 10 + 4.62 = 14.62 Ohms.
May 12, 2015

Electronics, Physics
Rt = 10 * (60*5)/(60+5) = 10 + 4.62 = 14.62 Ohms = Total resistance. Note: Based on the values given, the total resistance will be less than 15 ohms.
May 12, 2015

Electronics, Physics
Another Method R1 = 10 Ohms R2 = 60 Ohms R3 = 5 Ohms Rt = R1 + (R2*R3)/(R2+R3)
May 12, 2015

math
r = 4 in. h = 12 in. V = pi*r^2 * h = 3.14*4^2 * 12 = 602.88 m^3. r = 4.2 in. h = 12.2 in. V = 3.14*4.2^2 * 12.2 = 675.75 in^3 Error = 675.75 - 602.88 = 72.87 in^3
May 11, 2015

math
The degree is the largest exponent(3).
May 11, 2015

Calc 2
∞ Σ n/(√n^7+5n+1) n=1 I just tried using a sub n and b sub n and got the limit = 1, therefore it diverges right? but I'm not sure
May 11, 2015

ALGEBRA help ASAP
At 0o: Tan A = Y/X X = r Tan A = Y/r = Sin A.
May 11, 2015

pre calculus
sin A = 3/5 = y/r, Q2. x^2 + y^2 = r^2 x^2 = r^2 - y^2 = 5^2 - 3^2=25 - 9 = 16 X = -4, Q2. Cos A = X/r = -4/5 Tan A = Y/X = 3/-4 = -3/4
May 11, 2015

Physics
Eq1: R1+R2 = E/I = 12.4/2.13 = 5.82 Ohms (R1*R2)/(R1+R2) = 12.4/9.01 = 1.38 Ohms Replace R1+R2 with 5.82 Ohms: R1*R2/5.82 = 1.38 R1*R2 = 5.82*1.38 = 8.0 R1 = 8/R2 In Eq1, replace R1 with 8/R2: 8/R2 + R2 = 5.82 8 + R2^2 = 5.82R2 R2^2 - 5.82R2 + 8 = 0 Use Quadratic Formula. R2...
May 11, 2015

Math 12A Plain Trigonometry
sin70.5 = 13/d d = 13/sin70.5 = 13.8 Miles.
May 11, 2015

Analytic Geometry
h = 0.5g*t^2 = 3 m. 4.9t^2 = 3 t^2 = 0.612 Tf = 0.782 s. = Fall time. Dx = Xo*Tf = 5 m. Xo * 0.782 = 5 Xo = 6.39 m/s = Hor. component of initial velocity. h = 0.5g*t^2 = 12 m. 4.9t^2 = 12 t^2 = 2.45 Tf = 1.56 s. Dx = Xo*Tf = 6.39m/s * 1.56s. = 10 m. From water outlet.
May 11, 2015

Geometry
C(x,y) B(8,2) x-8 = (8-0)/2 = 4 X = 12 y-2 = (2-0)/2 = 1 Y = 3 C(12,3) D(x,y) 12-x = 8-0 = 8 X = 4 3-y = 2-0 = 2 Y = 1 D(4,1)
May 10, 2015

math
P = Po + Po*r*t P = 7,000,000 + 7,000,000*0.05*12 = 11,200,000
May 10, 2015

Math
x-3y+9 = 0 -3y = -x - 9 Y = (1/3)x + 3 m = 1/3 b = 3
May 10, 2015

Physics
Out of phase.
May 10, 2015

algebra
N + .22N = 3,200,000 1.22N = 3,200,000 N = 2,622,951 or 2,623,000
May 9, 2015

math
Tan60 = 15/x X = 15/Tan60 = 8.66 Side = 2x = 2 * 8.66 = 17.32
May 9, 2015

Physics
Distance Traveled = 300 + 400 = 700 mi. Displacement = sqrt(300^2+400^2) = 500 m
May 9, 2015

Math
Tan26 = h/50 h = 50*Tan26 = 24.4 m.
May 9, 2015

Simmons
M*g = 2kg * 9.8N./kg = 19.6 N. = Wt. of box. Fp = 19.6*sin65 = 17.76 N. = Force parallel to the incline. Fn = 19.6*Cos65 = 8.28 N.=Perpendicular to the incline = Normal. Fs = u*Fn = 0.3 * 8.28 = 2.48 N. = Force of static friction. Fap-Fp-Fs = M*a Fap-17.76-2.48 = M*0 = 0 Fap...
May 8, 2015

Physics
Work = Energy output(Eo). Eff. = Eo/(Eo+800) = 0.20 Eo = 0.2(Eo+800) Eo = 0.2Eo + 160 0.8Eo = 160 Eo = = 200 J.
May 8, 2015

Physics
1609m/5280Ft * 100cm/m * 1Ft/12in = 2.54 cm/in.
May 8, 2015

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