Diện tích tiếp xúc của 1 chân là: \(0,005:2=2,5.10^{-3}\left(m^2\right)\)

Áp suất là: \(p=\dfrac{F}{S}=\dfrac{P}{S}=\dfrac{10m}{S}=\dfrac{10.10}{2,5.10^{-3}}=40000\left(Pa\right)\)

Điện trở tương đương:

\(R_{tđ}=R_1+R_2=10+20=30\left(\Omega\right)\)

Do mắc nối tiếp nên \(I=I_1=I_2=0,6A\)

\(\left\{{}\begin{matrix}U=I.R_{tđ}=0,6.30=18\left(V\right)\\U_1=I_1.R_1=0,6.10=6\left(V\right)\end{matrix}\right.\)

Tỉ số hiệu điện thế U1:U là: \(\dfrac{U_1}{U}=\dfrac{6}{18}=\dfrac{1}{3}\)

Do mắc song song nên \(U=U_1=U_2=6V\)

Điện trở R2: \(R_2=\dfrac{U_2}{I_2}=\dfrac{6}{0,5}=12\left(\Omega\right)\)

\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\Rightarrow R_1=\dfrac{1}{\dfrac{1}{R_{tđ}}-\dfrac{1}{R_2}}=\dfrac{1}{\dfrac{1}{4}-\dfrac{1}{12}}=6\left(\Omega\right)\)

\(R_{23}=\dfrac{R_2.R_3}{R_2+R_3}=\dfrac{6.12}{6+12}=4\left(\Omega\right)\)

\(R_{tđ}=R_1+R_{23}=3+4=7\left(\Omega\right)\)

\(I=I_1=I_{23}=3A\)

\(U_{23}=I_{23}.R_{23}=3.4=12\left(V\right)\)

\(\left\{{}\begin{matrix}I_2=\dfrac{U_2}{R_2}=\dfrac{12}{6}=2\left(A\right)\\I_3=\dfrac{U_3}{R_3}=\dfrac{12}{12}=1\left(A\right)\end{matrix}\right.\)

\(Q_{tỏa}=A=P.t=I^2.R.t=3^2.7.10.60=37800\left(J\right)\)

Điện trở của dây là:

\(R=\rho\dfrac{l}{S}=1,7.10^{-8}.\dfrac{50}{0,2.10^{-6}}=4,25\left(\Omega\right)\)

E nên để phân số luôn nhé chứ làm tròn như thế dễ bị lệch số

\(780kg/m^3=7800N/m^3\)

\(d_v=\dfrac{P}{V}\Rightarrow V=\dfrac{P}{d_v}=\dfrac{10m}{d_v}=\dfrac{10.5}{7800}=\dfrac{1}{156}\left(m^3\right)\)

\(F_A=d.V=10000.\dfrac{1}{156}\approx64\left(Pa\right)\)

a) \(\Rightarrow\dfrac{1}{3}x\left(x-2\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)

b) \(\Rightarrow\left(x+5\right)\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=-5\\x=1\end{matrix}\right.\)

c) \(\Rightarrow x\left(x^2-\dfrac{1}{9}\right)=0\Rightarrow x\left(x-\dfrac{1}{3}\right)\left(x+\dfrac{1}{3}\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\\x=-\dfrac{1}{3}\end{matrix}\right.\)

e) \(\Rightarrow\left(x+2\right)\left(x+2-x+2\right)=0\Rightarrow\left(x+2\right).4=0\Rightarrow x=-2\)

f) \(\Rightarrow x\left(2x-3\right)+2\left(2x-3\right)=0\Rightarrow\left(2x-3\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)

g) \(\Rightarrow2\left(3x-2\right)^2-\left(3x-2\right)\left(3x+2\right)=0\Rightarrow\left(3x-2\right)\left(3x-6\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=2\end{matrix}\right.\)

h) \(\Rightarrow x\left(x+1\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=-2\end{matrix}\right.\)

i) \(\Rightarrow4x\left(x+1\right)+5\left(x+1\right)=0\Rightarrow\left(x+1\right)\left(4x+5\right)=0\Rightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{5}{4}\end{matrix}\right.\)