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  1. ...a 3. 0.5m[ (dx/dt)^2 + 2(dy/dt)^2 ] + 0.5k[y(t) - x(t) - a]^2 = 0.5m(v_0)^2 (v_0)^2 - (dx/dt)^2 - 2(dy/dt)^2 = (k/m)[y(t) - x(t) - a]^2 4. When dx/dt = 0 then dy/dt = v_0 / 2 Plug into energy d_1...

    1 Answers · Science & Mathematics · 28/06/2019

  2. ...1.50) v^2 1/2 's cancel 3.5 = 0.56 + 1.50 v^2 1.50 ^2 = 2.94 v^2 = 1.96 v = 1.4 m/s When you get a good response, please consider giving a best answer. This is...

    1 Answers · Science & Mathematics · 17/04/2019

  3. 1) E = 1/2 k A^2 E = 0.5 * 275 * 0.058^2 = 0.46 J 2) v = w A = sqrt(k/m) A v = sqrt(275/0.582) * 0.058 = 1.26 m/s 3) a = w^2 A = (k/m) A a = (275/0.582) * 0.058 = 27.41 m/s^2

    2 Answers · Science & Mathematics · 08/08/2019

  4. ...61.2 / 5) ω = 3.50 rad/s x = Acos(ωt + φ) v = -ωΑsin(ωt + φ) 2 = -3.50Αsin(3...find the amplitude -0.33 = Acos(3.5(0) + 1.047) A = -0.660 m Now we find the times when the position...

    1 Answers · Science & Mathematics · 29/04/2019

  5. ...solution using 0.100 M benzoic acid (p K a = 4.20 ) and 0.160 M sodium benzoate.   pH = pKa  + log...-]/[HA] =  10^-0.20 = 0.631   V = vol. sodium benzoate   100.0-V = vol. benzoic...

    1 Answers · Science & Mathematics · 06/02/2020

  6. ... need to accelerate from 0 m/s to 82.1 m/s in a space of 2000 meters a(t) = a v(t) = int(a * dt) = at + C v(0) = 0 v(t... s(0) = 0 s(t) = (1/2) * a * t^2 v(k) = 82.1 s(k) = 2000 82.1 = a * k 2000 = (1/2...

    1 Answers · Science & Mathematics · 18/07/2019

  7. ...; solve for M M = mRT/(PV) ... note that density = m/V M = dRT/P M = (8.51g/L)(8.314 L kPa/mole K)(325 K) / (88.6 kPa) M = 259.53 g/mole <&...

    4 Answers · Science & Mathematics · 28/07/2019

  8. (a) pi*(16 ft)*(3 ft)^2 = 144 pi ft^3. (b) V = pi*h*r^2 => dV/dt = pi*r^2 dh/dt or in this case 9*pi dh/dt. (c) dV/dt = k*h^(1/2) => k = (-2) / sqrt(16) = -1/2. 9*pi dh/dt = (-1/2)*h^(1/2) => 18*pi...

    2 Answers · Science & Mathematics · 11/08/2019

  9. (a) easiest is v² = ... * 3.0m = 89 m²/s² v = 9.4 m/s (b) KE + GPE become "spring... I'll assume you meant k = 5.2E4 N/m ½...

    1 Answers · Science & Mathematics · 07/02/2020

  10. ... + GPE as leaves spring 1/2 k x^2 = 1/2 m v^2 + m g h 1/2(630)(0.18^2) = 1/2 (0.19) v^2 + 0.19...5) = 51.95 Vf = 7.2 m/s When you get a good response, please consider giving a best...

    1 Answers · Science & Mathematics · 03/07/2019

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