User:Danosaur

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Frances the Mute
Danosaur's don't like clothing they eat a lot

-2 \dot{m} v_j = F_p
k > \frac{4F}{x}
ΣM = 5kx − 15F = 0
\frac{dh}{\sqrt{h}} = -\frac{C_d a}{A} \sqrt{2 g} dt
\sqrt{h} = -\frac{C_d a}{A} \frac{\sqrt{2}}{2}\sqrt{g} t + C
\sqrt{h(0)} = -\frac{C_d a}{A} \frac{\sqrt{2}}{2}\sqrt{g}*0 + C \rightarrow \sqrt{h(0)} = C
\sqrt{h(0)}

A \frac{dh}{dt} = -C_d a \sqrt{2 g h} Q = C_v C_c a \sqrt{2 g h} u = \sqrt{\frac{g}{2 c}}


x = ut y = \frac{g t^2}{2} C_v C_c a \equiv C_d u = C_v \sqrt{2 g h} u = \sqrt{2 g h}


y(0) = 0 \rightarrow 0 = a + b*0 + c*0^2 \rightarrow a = 0
y'(0) = 0 y'(x) = b + 2cx \qquad y'(0) = 0 \rightarrow 0 = b + 2*c*0 \rightarrow b = 0

m_{1}' = m_{2}' \rightarrow \rho_{1} A_{1} v_{1} = \rho_{2} A_{2} v_{2}
A1v1 = A2v2

p_{1}-p_{2}+\rho g h_{1}-\rho g h_{2}=\frac{1}{2}\rho v_{2}^{2}-\frac{1}{2}\rho v_{1}^{2}

\frac{v^{2}}{2}+g h = 0 \rightarrow v = \sqrt{2 g h}
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