\(\dfrac{P}{P'}=\dfrac{G\cdot\dfrac{Mm}{R^2}}{G\cdot\dfrac{Mm}{\left(R+h\right)^2}}=\dfrac{\dfrac{1}{R^2}}{\dfrac{1}{\left(R+\dfrac{1}{4}R\right)^2}}=\dfrac{25}{16}\)

\(\Rightarrow P'=\dfrac{16P}{25}=\dfrac{16\cdot mg}{25}=\dfrac{16\cdot7\cdot9,8}{25}43,904\left(N\right)\)

\(p=\dfrac{P}{S}=\dfrac{10m}{S}=\dfrac{10\cdot60}{0,06}=10000\left(Pa\right)\)

< Ăn nhiều lên :3 >

Đổi : 20 phút =1200s 

\(A=U\cdot I\cdot t=24\cdot0,5\cdot1200=14400\left(J\right)\)

a, Theo định luật II Niu tơn

\(\overrightarrow{F_k}+\overrightarrow{F_{ms}}+\overrightarrow{N}+\overrightarrow{P}=m\cdot\overrightarrow{a}\)

Chiếu lên Oy: N=P=mg

Chiếu lên Ox

\(F_k-F_{ms}=m\cdot a\Rightarrow a=\dfrac{F_k-\mu\cdot mg}{m}=\dfrac{10-0,1\cdot2\cdot10}{2}=4\left(\dfrac{m}{s^2}\right)\)

b,\(v=v_0+at=0+4\cdot5=20\left(\dfrac{m}{s}\right)\)

c,Theo định luật II Niu tơn

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

Chiếu lên Oy: N=P=mg

Chiếu lên Ox

\(-F_{ms}=m\cdot a\Rightarrow a=\dfrac{-\mu\cdot mg}{m}=\dfrac{-0,1\cdot2\cdot10}{2}=-1\left(\dfrac{m}{s^2}\right)\)

Vật có thể đi

\(s=\dfrac{v^2-v_0^2}{2a}=\dfrac{0^2-20^2}{2\cdot-1}=200\left(m\right)\)

Ở trường hợp đầu 

Sau khi cân bằng nhiệt

\(Q_{tỏa}=Q_{thu}\Rightarrow m_nc_n\cdot\left(t_đ-t_s\right)=m_{thùng}c_{thùng}\cdot\left(t_s-t_đ'\right)+m_nc_n\left(t_s-t_đ''\right)\)

\(\Rightarrow m_nc_n\left(100-40-40+20\right)=m_{thùng}c_{thùng}\left(40-20\right)\)

\(\Leftrightarrow2m_nc_n=m_{thùng}c_{thùng}\)

Trường hợp 2

Sau khi cân bằng

\(Q_{tỏa}=Q_{thu}\Rightarrow m_nc_n\cdot\left(t_đ-t_s'\right)=m_{thùng}c_{thùng}\cdot\left(t_s'-t_đ'\right)\)

\(m_nc_n\left(100-t_s'\right)=2m_nc_n\left(t'_s-20\right)\Rightarrow\left(100-t_s'\right)=2\left(t'_s-20\right)\Rightarrow t'_s=\dfrac{140}{3}\left(^oC\right)\)

a,\(s_{6s}-s_{t6}=14\Rightarrow v_0t+\dfrac{1}{2}at^2-\left(v_0t+\dfrac{1}{2}a\left(t-1\right)^2\right)=14\)

\(3\cdot6+\dfrac{1}{2}a\cdot6^2-\left(3\cdot6+\dfrac{1}{2}\cdot a\cdot\left(6-1\right)^2\right)=14\Rightarrow a=\dfrac{28}{11}\left(\dfrac{m}{s^2}\right)\)

b,\(s=v_0t+\dfrac{1}{2}at^2=3\cdot5+\dfrac{1}{2}\cdot\dfrac{28}{11}\cdot5^2=\dfrac{515}{11}\left(m\right)\)

Vì Uđm=U=220V

Nên P=Pđm=1000 W

a,\(Q=P\cdot t=1000\cdot2=2000\left(J\right)\)

b,\(A_{30d}=A_{1d}\cdot30=P\cdot t_{1d}\cdot30=1000\cdot3\cdot30=90000\left(Wh\right)\)

MCD:R2//R1

\(R=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{18\cdot12}{18+12}=7,2\left(\Omega\right)\)

\(I=\dfrac{E}{R+r}=\dfrac{12}{7,2+0,8}=1,5\left(A\right)\)

\(U_2=U_1=U=R\cdot I=7,2\cdot1,5=10,8\left(V\right)\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{10,8}{12}=0,9\left(A\right)\)

Đổi 16 phút 5s=965 s

\(m=\dfrac{1}{F}\cdot\dfrac{A}{n}\cdot I_2\cdot t=\dfrac{1}{96500}\cdot\dfrac{108}{1}\cdot0,9\cdot965=0,972\left(kg\right)\)