\(i=120^o-90^o=30^o\)

\(i=i'\Leftrightarrow i'=30^o\)

\(d,ĐK:x\ge1\\ PT\Leftrightarrow\sqrt{x-1}=2+\sqrt{x+1}\\ \Leftrightarrow x-1=2+x+1+4\sqrt{x+1}\\ \Leftrightarrow4\sqrt{x+1}=-4\Leftrightarrow x\in\varnothing\left(4\sqrt{x+1}\ge0\right)\\ g,ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow x+\sqrt{2x-1}+x-\sqrt{2x-1}+2\sqrt{\left(x+\sqrt{2x-1}\right)\left(x-\sqrt{2x-1}\right)}=2\\ \Leftrightarrow2x+2\sqrt{x^2-2x+1}=2\\ \Leftrightarrow\sqrt{\left(x-1\right)^2}=\dfrac{2-2x}{2}=1-x\\ \Leftrightarrow\left|x-1\right|=1-x\\ \Leftrightarrow\left[{}\begin{matrix}x-1=1-x\left(x\ge1\right)\\x-1=x-1\left(x< 1\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\left(tm\right)\\x\in R\end{matrix}\right.\)

a) Điện trở tương đương của đoạn mạch :

\(R_{tđ}=\dfrac{R_1.R_2}{R_1+R_2}=\dfrac{60.40}{60+40}=24\left(\Omega\right)\)

b) Hiệu điện thế giữa hai đầu đoạn mạch :

\(U=I.R_{tđ}=2.24=48\left(V\right)\)

⇒ \(U=U_1=U_2=48\left(V\right)\) (vì R₁ // R₂)

Cường độ dòng điện chạy qua mỗi điện trở :

\(I_1=\dfrac{U_1}{R_1}=\dfrac{48}{60}=0,8\left(A\right)\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{48}{40}=1,2\left(A\right)\)

 Chúc bạn học tốt

câu 1: 
UCLN(15;19)=1

Bài 3.

Định luật ll Niu-tơn:

\(\overrightarrow{F}+\overrightarrow{F_{ms}}=m\cdot\overrightarrow{a}\)

\(\Rightarrow F-F_{ms}=m\cdot a\)

Gia tốc vật:

\(a=\dfrac{F-F_{ms}}{m}=\dfrac{4,5-\mu mg}{m}=\dfrac{4,5-0,2\cdot1,5\cdot10}{1,5}=1\)m/s²

Vận tốc vật sau 2s:

\(v=a\cdot t=1\cdot2=2\)m/s

Bài 1:

(1) \(4Al+3O_2\xrightarrow[]{t^o}2Al_2O_3\)

(2) \(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)

(3) \(AlCl_3+3KOH\rightarrow3KCl+Al\left(OH\right)_3\downarrow\)

(4) \(Al\left(OH\right)_3+3HCl\rightarrow AlCl_3+3H_2O\)

(5) \(2Al\left(OH\right)_3\xrightarrow[]{t^o}Al_2O_3+3H_2O\)

(6) \(Al\left(OH\right)_3+NaOH\rightarrow NaAlO_2+2H_2O\)

(7) \(Al_2O_3+2NaOH\rightarrow2NaAlO_2+H_2O\)

(8) \(Al+NaOH+H_2O\rightarrow NaAlO_2+\dfrac{3}{2}H_2\uparrow\)

(9) \(2Al_2O_3\xrightarrow[criolit]{đpnc}4Al+3O_2\)

Bài 2:

PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)

              a_______a_______a_____a    (mol)

            \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)

                b_______b________b____b     (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}56a+24b=21,6\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,3\cdot56}{21,6}\cdot100\%\approx77,78\%\\\%m_{Mg}=22,22\%\end{matrix}\right.\)

Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{Mg\left(OH\right)_2}=n_{Mg}=0,2\left(mol\right)\\n_{Fe\left(OH\right)_2}=n_{Fe}=0,3\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{kết.tủa}=m_{Fe\left(OH\right)_3}+m_{Mg\left(OH\right)_2}=0,3\cdot107+0,2\cdot56=43,3\left(g\right)\)

Theo các PTHH: \(n_{H_2SO_4\left(p/ứ\right)}=0,5\left(mol\right)\) \(\Rightarrow n_{H_2SO_4\left(ban.đầu\right)}=0,5\cdot120\%=0,6\left(mol\right)\)

\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,6\cdot98}{10\%}=588\left(g\right)\)

Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{MgO}=n_{Mg}=0,2\left(mol\right)\\n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=0,15\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{chất.rắn}=m_{MgO}+m_{Fe_2O_3}=0,2\cdot40+0,15\cdot160=32\left(g\right)\)