\(p=\dfrac{F}{S}\Rightarrow F=p.S=4.10^6.40.10^{-4}=...\left(N\right)\)

\(\Rightarrow A_{khi-chay}=F.s=16000.0,1=1600\left(J\right)\)

\(P=\dfrac{A_{khi-chay}}{t}=\dfrac{1600}{0,5}=3200\left(W\right)\)

\(P=10m=10.D.V=10.1000.20=2.10^5\left(N\right)\)

\(A_i=P.h=2.10^5.40=8.10^6\left(J\right)\)

\(A_{tp}=\dfrac{A_i}{H}=\dfrac{8.10^6}{0,7}=....\left(J\right)\)

\(A_{tp}=P.t\Rightarrow P=\dfrac{A_{tp}}{1}=\dfrac{8.10^6}{0,7}\left(W\right)\)

\(Q_{toa}=m_1c_1.\left(t_1-t\right)=0,5.c_1.\left(917-17\right)=450c_1\left(J\right)\)

\(Q_{thu}=m_2c_2\left(t-t_2\right)=27,5.4200.\left(17-15,5\right)=173250\left(J\right)\)

\(PTCBN:Q_{toa}=Q_{thu}\)

\(\Rightarrow450c_1=173250\Leftrightarrow c_1=385\left(J/kg.K\right)\)

\(W=W_d+W_t=\dfrac{1}{2}mv^2+mgh=m\left(\dfrac{1}{2}.10^2+10.20\right)=...\left(J\right)\)

\(W_t=W_d=\dfrac{1}{2}W\Leftrightarrow mgh'=\dfrac{1}{2}.250m\Leftrightarrow10h'=\dfrac{1}{2}.250\Rightarrow h'=12,5\left(m\right)\)

\(V=5000l\Rightarrow m=D.V=10800.5000=...\left(kg\right)\)

\(A_{tp}=P.t\Leftrightarrow A_{tp}=5000.20.60=...\left(J\right)\)

\(\Rightarrow A_i=A_{tp}.H=A_{tp}.0,6=...\left(J\right)\)

\(A_i=10m.h\Leftrightarrow h=\dfrac{A_i}{10.m}=...\left(m\right)\)

\(F.s=P.h\)

\(\Leftrightarrow F=\dfrac{P.h}{s}=\dfrac{30.3}{5}=18\left(N\right)\)

\(\left(2x^3-\dfrac{3}{x^2}\right)^{10}=\sum\limits^{10}_{k=0}C^k_{10}.2^k.3^{10-k}.x^{3k}.\dfrac{1}{x^{2\left(10-k\right)}}\)

\(x^{10}=\dfrac{x^{3k}}{x^{20-2k}}\Leftrightarrow3k-20+2k=10\Leftrightarrow5k=30\Leftrightarrow k=6\)

\(\Rightarrow he-so:2^k.3^{10-k}=2^6.3^4=..\)

a/ \(\dfrac{1}{2}\cos x-\dfrac{\sqrt{3}}{2}\sin x=\dfrac{\sqrt{2}}{2}\)

\(\Leftrightarrow\sin\left(\dfrac{\pi}{6}-x\right)=\dfrac{\sqrt{2}}{2}\Leftrightarrow\left[{}\begin{matrix}\dfrac{\pi}{6}-x=\dfrac{\pi}{4}+k2\pi\\\dfrac{\pi}{6}-x=\dfrac{3\pi}{4}+k2\pi\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{12}+k2\pi\\x=-\dfrac{7\pi}{12}+k2\pi\end{matrix}\right.\)

b/ \(\cos x=0\) ko la nghiem cua pt

\(\cos x\ne0\Rightarrow pt\Leftrightarrow5\tan^2x+\tan x-6=0\)

\(\Leftrightarrow\left[{}\begin{matrix}\tan x=1\\\tan x=-\dfrac{6}{5}\end{matrix}\right.\Leftrightarrow...\)

\(\frac{3}{4}\)của 5 tạ là :

   \(5\times\frac{3}{4}=3,75\)tạ=375kg

=> Chọn C.375