Monday
June 27, 2016

Posts by Henry

Total # Posts: 11,871

Physics
a. Fn = Mg-200*sin30. b. 200*Cos30-Fk = M*a. Fk = ?. c. u = Fk/Fn
October 7, 2015

Physics
h = Vo*t + 0.5g*t^2. h = 3.40 m/s. Vo = -2.65 m/s. g = +9.8 m/s^2. t = ?.
October 7, 2015

Finance
Correction: P1 = Po(1+r)^n.
October 7, 2015

Finance
P1 = Po(1=r)^n. Po = $100. r = 10%/100% = 0.10. n = 1Comp./yr. * 1yr. = 1 Compounding period. P1 = ?. P2 = Po(1+r)^n. Po = $.100 r = (10%/2)/100% = 0.05. n = 2Comp./yr. * 1yr. = 2 Compounding periods. P2 = ?. P3 = Po(1+r)^n. r = (10%/4)/100% = 0.025. n = 4Comp./yr. * 1yr. = 4 ...
October 7, 2015

physics
F = M*a. a = (Vf-Vo)/t. Vf = 43.7 m/s. Vo = 0.
October 7, 2015

Physics
X = Vc = 3 m/s. Y = Vb = 5 m/s. Tan A = Y/X = 5/3 = 1.66667. A = 59o N. of E. = 31o E. of N. Direction = 31o W. of N.
October 7, 2015

Physics
Fn = Mg-F*sin29.4.
October 7, 2015

algebra please help
1. 2x + 3y = 1470. 3y = -2x + 1470. Y = (-2/3)x + 490. m = -2/3, b = 490 = y-intercept.
October 6, 2015

Algebra
(-4,6), (1,1). m = (1-6)/(1-(-4)) = -5/5 = -1. Y = mx + b = 6. -1*-4 + b = 6. b = 2. Y = -x + 2.
October 6, 2015

Physics
Vo = 21 m/s. Vf = Vo + a*t = 21 + 1.6*6.8 = 31.9 m/s.
October 6, 2015

Physics
Vo = 72m/s[Ao]. Xo = 46 m/s. Xo = 72*Cos A = 46. Cos A = 46/72 = 0.63889. A = 50.3o
October 6, 2015

Physics
Vo = 24.3 m/s.[29o] Yo = 24.3*sin29 = 11.8 m/s. Yf = Yo + g*Tr = 0 at max h. 11.8 - 9.81Tr = 0. Tr = 1.20 s. = Rise time. h = Yo*Tr + 0.5g*Tr^2. g = -9.81 m/s^2.
October 6, 2015

science
Vo = 2 m/s. t = 4 s. a = 3 m/s^2. d = Vo*t + 0.5a*t^2.
October 6, 2015

math
Correction: V = 69.3 Ft/s.
October 6, 2015

math
1. h = 75 Ft ?. V = Sqrt(64*75) = Sqrt(4800) = 69.3Ft^2. 2. Sqrt(N) = N^(1/2). Curt(N) = N^(1/3).
October 6, 2015

Physics
Vo = 15 m/s?. V1 = 15 m/s. Vf = Vo + g*Tr = 0 at max h. 15 - 9.8*Tr = 0. Tr = 1.53 s. = Rise time. Tf = Tr = 1.53s. = Fall time. T = Tr+Tf = 1.53 + 1.53 = 3.06 s.
October 6, 2015

Physics
Vo = 15m/s[39o]. Yo = 15*sin39 = 9.44 m/s. Y = Yo + g*Tr = 0 @ h max. 9.44 - 9.8Tr = 0. Tr = 9.44/9.8 = 0.96 s. = Rise time. Tf = Tr = 0.96 s. = Fall time. T = Tr+Tf = 0.96 + 0.96 = 1.92 s.
October 6, 2015

physics
1. Vo = 55m/s[52o]. Xo = 55*Cos52 = 33.9 m/s. Yo = 55*sin52 = 43.3 m/s. h = Yo*t + 0.5g*t^2 = g = -9.8 m/s^2. h = ?. 2. Range = Vo^2*sin(2A)/g. Vo = 22 m/s. A = 30o. g = 9.8 m/s^2.
October 5, 2015

physics
C = C1*C2/(C1+C2) = 3*6/(3+6) = 2 uF. Ct = C + C3 = 2 + 4 = 6 uF. Total Energy = 0.5C*E^2 = 0.5*6*6^2 = 108 J.
October 5, 2015

Physics
Vf = Vo + a*t = 0. 3.08 + a*0.21 = 0. 0.21a = -3.08. a = -14.7 m/s^2. F = M*a.
October 5, 2015

Physics
Tr = 23.2/2 = 11.6 s. = Rise time. Vf = Vo + g*Tr = 0. 16 + g*11.6 = 0. 11.6g = -16. g = -1.38 m/s^2.
October 5, 2015

Physics
All angles are CCW from +x-axis. Vp + Vw = 420km/h[97o]. 420[90o] + Vw[225o] = 420[97o] 420i + Vw*Cos225+Vw*sin225 = 420*Cos97 +420*sin97 = 420i - 0.707Vw - i0.707Vw = -51.2 + 417i = -51.2 -3i. 0.707Vw (-1-1i) = -51.2 - 3i. 0.707Vw(1.41[225o]) = 51.3[183.4o]. Vw[225o] = 51.3[...
October 4, 2015

PHYSICS
X = -47.9 N. Y = 81.2 N. Q2. a. F3 = Sqrt(X^2 + Y^2) b. Tan A = Y/X = 81.2/-47.9 = -1.69520. A = -59.5o = 59.5o N. of W. Direction = 59.5o S. of E.
October 4, 2015

PHYSICS
See previous post: Sat, 8-15-15, 7:29 AM
October 4, 2015

PHYSICS
Wc = M*g. Fn = Mg*Cos15. a. Fn/Wc = Mg*Cos15/Mg = Cos15 = 0.966. b. Fn/Wc = Mg*Cos32/Mg = Cos32 = 0.848.
October 4, 2015

PHYSICS
Wb = M*g = 50.5 * 9.8 = 494.9 N. = Normal force, Fn. Fs = u*Fn = 0.624 * 494.9 = 308.8 N. = Force of static friction. Fk = 0.364 * 494.9 = 180.1 N. a. F-Fs = M*a. F-308.8 = M*0 = 0 F = 308.8 N. b. F-Fk = M*a. F-180.1 = M*0 = 0. F = 180.1 N.
October 4, 2015

physics
-16t^2 + 100t + 140 = 200. -16t^2 + 100t - 60 = 0. Divide by 4: -4t^2 + 25t - 15 = 0. Use Quadratic Formula. Solutions: T1 = 0.67 s, T2 = 5.8 s.
October 4, 2015

physics
h = 0.5g*t1^2 = 22 m. g = 9.8 m/s^2. t1 = ?. 1.4m/s * t2 = 4 m. t2 = ?. T = t1 + t2.
October 4, 2015

Physics
Vr = 120km/h[0o] + 50km/h[202o,CCW]. Vr = 120+50*Cos202 + i50*sin202 = 120 - 46.4 - 18.7i = 73.6 - 18.7i, Q4. Vr = 73.6 - 18.7i = 76[-14.2o] = 76km/h[14.2o] S. of E.
October 4, 2015

Physics
See Related Questions: Fr1, 10-17-14, 9:38 PM.
October 4, 2015

Algebra
a. Scale = 30Ft/6in = 5 Ft/in. 0r 1in = 5 Ft.
October 4, 2015

Physics
a. F = M*g = 80 * 9.8 = 784 N. b. F-784 = M*a. F-784 = 80*2 = 160. F = 944 N. c. F-784 = M*a. F-784 = M*0 = 0. F = 784 N. d. F-784 = M*a. F-784 = 80*(-1.5). F-784 = -120. F = 664 N.
October 4, 2015

Physics
Tr = 6/2 = 3 s. = Rise time. Vf = Vo + g*Tr = 0 @ max h. Vo - 9.8*3 = 0. Vo = 29.4 m/s.
October 4, 2015

Physics
1. X = 10 mi/h. Y = 80 mi/h. Vr = Sqrt(X^2 + Y^2). 2. Same Procedure as #1. 3. Vr = Vp + Vw = 80 + 10 = 90 mi/h. 4. Vr = Vp + Vw = 80 + (-10) = 70 mi/h.
October 4, 2015

Physics
Vo = 20m/s[40o]. Xo = 20*Cos40 = 15.3 m/s. Yo = 20*sin40 = 12.9 m/s. Dx = Xo*t = 15.3m/s * 2.55s. = 39 m. h = Yo*Tr + 0.5g*Tr^2 Tr = 2.55/2 = 1.275 s. = Rise time. g = -9.8 m/s^2.
October 4, 2015

physics
F = M*a = 40 * 5*9.8 = 1960 N.
October 3, 2015

PHYSICS
Fr = 3N[0o] + 4N[90o] + 12N[180o] = 3 + 4i -12 = -9 + 4i, Q2. Fr = Sqrt ((-9)^2 + 4^2)
October 3, 2015

science
See previous post: Sat, 10-3-15, 12:51 PM.
October 3, 2015

wcience
a. M*2V/M*V = 2. b. 0.5M*V/M*V = 0.5 = 1/2. c. 3M*3V/M*V = 9.
October 3, 2015

science
h = 0.5g*t^2
October 3, 2015

physical science
d = V*T = 3*10^8m/s * T = 3.5*10^5 m. T = ?.
October 2, 2015

physics
a. Yf^2 = Yo^2 + 2g*h. Yo = 0. g = 9.8 m/s^2. h = 1013 m. Yf = ?. Vf = Sqrt(Xo^2 + Yf^2), Xo = 123 m/s. b. Tan A = Yf/Xo.
October 2, 2015

Physics acceleration
Vf = 91.4mi/h * 1600m/mi * 1h/3600s. = m/s. a = (Vf-Vo)/t = m/s^2. Vo = 0. a = ?
October 1, 2015

physics
Fa+Fb = M*a = 12.3 * 0.443 = 5.45 N. Fa-Fb = 12.3 * 0.280 = 3.44 N. a. Fa + Fb = 5.45. Fa - Fb = 3.44. Sum: 2Fa = 8.89. Fa = 4.45 N. b. Fa + Fb = 5.45 4.45 + Fb = 5.45. Fb = 1.00 N.
October 1, 2015

Physics help!!
a = (Vf-Vo)/t = (-25-49)/0.0022 = -33.64 m/s^2. F = M*a. Note: The force will be negative, because it opposes the initial motion.
October 1, 2015

Physics
See previous post: Fri, 9-11-15, 12:45 PM.
October 1, 2015

physics
See Related Questions: Tue, 4-29-14, 1:34 PM.
October 1, 2015

Physics
h = 0.5g*t^2 = 0.024 m. 4.9*t^2 = 0.024. t = ? Dx = Xo^t = 50 m. Xo*t = 50. Xo = ?. 6
October 1, 2015

Physics
d1 = V1*t = 14m/s * 3.5s. = 49 m. Head-start. a. d2 = 49 + V1*t. 0.5a*t^2 = 49 + V1*t. 0.5*4*t^2 = 49 + 14*t. 2t^2-14t-49 = 0. Use Quadratic Formula. t = 9.56 s. b. d = 0.5a*t^2.
October 1, 2015

Physics
See Related Questions: Thu, 1-31-13, 2:29 AM.
October 1, 2015

physics
X = 172*Cos23. Y = 172*sin23.
October 1, 2015

physics
X = 18 * Cos13.
October 1, 2015

physics
X = 5.2 m. Y = 37.8 m. Disp. = Sqrt(X^2 + Y^2). Tan A = Y/X = 37.8/5.2 = 7.26923. A = 82.2o N. of E. = 7.8o E. of N.
October 1, 2015

physics
Incomplete.
October 1, 2015

physics
Y = 37.8 m. X = 5.2 m. Disp. = Sqrt(X^2 + Y^2) =
October 1, 2015

Pre-Algebra
(1/5)^9 = 1/5^9 = 5^-9.
October 1, 2015

conversion
2kw = 2000 W. hp = 2000/746.
October 1, 2015

conversion
20 Watts = 20 J/s.
October 1, 2015

PHYSICS
M1*V1 + M2*V2 = M1*V + M2*V. 5000*15 + 1000*(-30) = 5000V + 1000V. V = ?.
October 1, 2015

PHYSICS
Density = 100g/600cm^3 = g/cm^3.
October 1, 2015

PHYSICS
F = 155N/m * 0.05m = 7.75 N.
October 1, 2015

physics
a = (Vf-Vo)/t = (-4.1-2.1)/0.36 = -17.2 m/s^2. a. F = M*a = 0.19 * (-17.2) = -3.27 N. b. Direction = West. c. a=(-4.1i-2.1)/0.36=(4.61[243o]/0.36 = 12.8 m/s^2[243o]. F = M*a = 0.19 * 12.8[243o] = 2.43N.[243o] d. Direction = 243o CCW.
October 1, 2015

physics
a = (Vf-Vo)/t = (36-5.5)/0.0316 = 965.2 m/s^2. d = Vo*t + 0.5a*t^2 = 5.5*0.0316 + 0.5*965.2*0.0316^2 = 0.656 m.
September 30, 2015

math
3(x-2) + 4 > 2(2x-3). 3x-6 + 4 > 4x-6. 3x-4x > -6 + 2. -x > -4. X < 4. 1. X => 45 min. 2. X =< 2 hrs. 3. $8500 =< X < $12,000.
September 30, 2015

math
d = 6mi * 5,280Ft/mi * 1yd/3Ft + 551yds = 11,111 yds. d = 11,111yds. * 3Ft./yd. * 1m/3.3Ft. = 10,100.9 m.
September 30, 2015

Physics
See previous post: Mon, 9-28-15, 9:46 PM
September 29, 2015

Physics
225o = 180 + 45o. So the vector is 45o below West. Therefore, it will point to the left and downward at an angle of 45o. The three vectors can also be drawn from the origin.
September 29, 2015

PHYS 101
Wb = M*g = 1.70 * 9.8 = 16.7 N. Fp = 16.7*sin27.4 = 7.67 N. = Force parallel to the incline. a. a = Fp/M = 7.67/1.70 = 4.51 m/s^2. b. PE = Mg*h = 16.7*0.485 = 8.08 J. KE = 0.5M*V^2 = 8.08. 0.85*V^2 = 8.08. V^2 = 9.51. V = 3.08 m/s. c.
September 29, 2015

math help
Y = 3x^2-6x-9 = 0. A*C = 3 * -9 = -27. sum = 3 + (-9) = -6 = B. 3x^2 + (3x-9x) - 9 = 0. Form two factorable binomials: (3x^2+3x) - (9x+9) = 0. 3x(x+1) - 9(x+1) = 0. (x+1)(3x-9) = 0. x+1 = 0, X = -1. 3x-9 = 0, 3x = 9, X = 3. Intercepts = -1, and 3.
September 29, 2015

welkin
Wb = M*g = 50 * 9.8 = 490 N. = Normal force, Fn. Fk = u*Fn = 0.2 * 490 = 98 N. Work = Fk*d = 98 * 1 = 98 J.
September 29, 2015

Physics
a. d1 + d2 = 30 m. 0.5a1*t^2 + 0.5a2*t^2 = 30. 0.5*0.49*t^2 + 0.5*0.43*t^2 = 30. t = ?. b. d1 = 0.5a1*t^2.
September 29, 2015

Physics
a = (Vf-Vo)/t = (6.20-0)/3.56. d = 0.5a*t^2.
September 29, 2015

physics
Vc + Vb = 6 + 10i = 11.7km/h[59o] CCW. = 31o E. of N. Boat should sail 31o W. of N.
September 29, 2015

Physics Projectile Motion
See previous post: Mon, 9-28-15, 10:47 PM.
September 29, 2015

Advanced functions
No. Going twice as far does not change the braking distance if the initial velocity(Vo) remains constant over that distance.
September 29, 2015

Physics Kinematics.
Xo = 21 m/s. Yo = 16 m/s. a. V = Vo = Sqrt(Xo^2 + Yo^2). b. Y = Yo + g*Tr = 0. 16 - 9.8*Tr = 0. 9.8Tr = 16. Tr = 1.63 s. = Rise time. Tf = Tr = 1.63 s. Tr+Tf = 1.63 + 1.63 = 3.26 s. = Time in air. c. h = 0.5g*Tf^2 = 4.9*1.63^2 = 13 m.
September 28, 2015

Physics 2D Kinematics
Incomplete.
September 28, 2015

Physics
Tb + Ts = 2.5 s. Ts = 2.5-Tb. d = Vs*(2.5-Tb) = 16.5 m. 340*(2.5-Tb) = 16.5. 850-340Tb = 16.5. 340Tb = 833.5. Tb = 2.45 s. = Time of the ball. d = Vb*Tb = 16.5. Vb*2.45 = 16.5. Vb = 6.73 m/s.
September 28, 2015

Physics
Vf = Vo + a*t. Vo = 8.1 m/s. a = 2.8 m/s^2. t = 5.3 s. Vf = ?
September 28, 2015

math
10^5cal./s * 10s. = 10*10^5 cal. = 1 Million calculations.
September 28, 2015

Physics
See previous post: Mon. 9-28-15, 3:51 PM.
September 28, 2015

Physics
X = -4 km. Y = -3.0 km. Q3. Tan A = Y/X = -3/-4 = 0.750 A = 36.9o S of W. = 216.9o CCW. = Direction. Disp. = X/Cos216.9 = -4/Cos216.9=5.0 km.
September 28, 2015

Physics
Disp. = 48.1*sin15.5 =
September 28, 2015

2nd Law Physics
A = (180-107)/2 = 36.5o Above the hor. F = 2.31/2 = 1.16 N., each half. sin36.5 = F/T = 1.16/T. T = 1.16/sin36.5 = 1.94 N., each half.
September 28, 2015

physics
a. distance = 12 + 19 + 12 = 43 km. b. Disp. = 12i + 19 - 12i = 19 km, East.
September 28, 2015

math
5. P = Po(1+r)^n. Sem1-annually: Po = $7,000. r = (5%/2)/100% = 0.025 = Semi-annual % rate expressed as a decimal. n = 2Comp./yr. * 5yrs. = 10 Compounding periods. P = 7000 * (1.025)^10 = $8960.59. Quarterly: r = (5%/4)/100% = 0.0125 = Quarterly % rate expressed as a decimal. ...
September 28, 2015

math
d = (70/55)^2 * 79 = 128 Ft.
September 28, 2015

Math
True or False. 4. -11^2 = -11 * -11 = 121. Simplify. 4.24d^18. 7. Not sure. 8. Not sure.
September 28, 2015

math
a contractor's crew can frame 3 houses in a week. how long will it take them to frame 54 houses if they frame the same number each week?
September 27, 2015

Physics
Vo = 12.5m/s[53.1o]. Xo = 12.5*Cos53.1 = 7.51 m/s. Yo = 12.5*sin53.1 = 10.0 m/s. A. h = ho + -(Yo^2)/2g=75 + 10^2/19.6 = 80.1 m. Above gnd. Y = Yo + g*Tr = 0. Tr = -Yo/g = -10/-9.8 = 1.02 s. = Rise time. 0.5q*Tf^2 = 80.1 m. 4.9Tf^2 = 80.1. Tf^2 = 16.34. Tf = 4.04 s. = Fall ...
September 27, 2015

physics
10 + 5[60o] + F = 0. 10 + 5*Cos60 + i5*sin60 + F = 0. 10 + 2.5 + 4.33i + F = 0. 12.5 + 4.33i + F = 0. F = -12.5-4.33i = 13.2N[W19.1oS]
September 27, 2015

physics
Disp. = 30i + 40 = 50m[36.9o]. dist. = 30 + 40 = 70 m.
September 27, 2015

physics
D = -9 + 17i + 46 = 37 + 17i. X = 37yds, Y = 17 yds. D = Sqrt(X^2 + Y^2)
September 27, 2015

Science
W = F*d = M*g * d.
September 27, 2015

math
An excellent explanation, Allyson!
September 27, 2015

physics
F = 10N.[0o] + 20[60o] = 10 + 20*Cos60 + i20*sin60 = 10 + 10 + 17.3i = 20 + 17.3i = 26.5N.[40.9o].
September 27, 2015

Physics
V = a*t = 15 * 6 = 90 Ft/s.
September 27, 2015

math
Jose's age = X yrs. Valerie's age = Y yrs. Eq1: X + Y = 78. 9 yrs. ago: Jose's age: x-9 yrs. Valerie's age: y-9 yrs. x-9 = 3(y-9). x-9 = 3y-27. Eq2: x - 3y = -18. Subtract Eq2 from Eq1: Difference: 4y = 96. Y = 24 = Valerie's current age. X + 24 = 78. X = ...
September 27, 2015

math
Esmeralda = X yrs. old. Gregory = x+2 yrs. old. In 5 years: Esmeralda = x+5 yrs. old. Gregory = x+2 + 5 = x+7 yrs. old. x+5 + x+7 = 42. 2x + 12 = 42. X = 15 = Esmeraldas' current age.
September 27, 2015

maths
X boys. 3x/7 girls. x + 3x/7 = 30. 7x + 3x = 210. 10x = 210. X = 21.
September 27, 2015

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