Bài 3:

a, Lực hấp dẫn giữa Trái Đất và Mặt Trăng

\(F_{hd}=G\cdot\dfrac{M_1M_2}{r^2}=6,67\cdot10^{-11}\cdot\dfrac{6\cdot10^{24}\cdot7,2\cdot10^{22}}{\left(3,84\cdot10^8\right)^2}=1,95\cdot10^{20}\left(N\right)\)

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

Câu 5:

\(\dfrac{x}{y}=a\Rightarrow\dfrac{x}{a}=\dfrac{y}{1}=\dfrac{x-y}{a-1}=\dfrac{x+y}{a+1}\)

\(\Rightarrow\dfrac{x+y}{x-y}=\dfrac{a+1}{a-1}\)

Câu 6:

\(9x=5y\Rightarrow\dfrac{x}{5}=\dfrac{y}{9}\)

\(\Rightarrow\dfrac{x}{5}=\dfrac{y}{9}=\dfrac{3x}{15}=\dfrac{2y}{18}=\dfrac{3x-2y}{15-18}=\dfrac{12}{-3}=-4\)

\(\Rightarrow\left\{{}\begin{matrix}x=\left(-4\right).5=-20\\y=\left(-4\right).9=-36\end{matrix}\right.\)

Câu 7:

\(\dfrac{x}{-5}=\dfrac{y}{7}=\dfrac{x+y}{-5+7}=\dfrac{-10}{2}=-5\)

\(\Rightarrow\left\{{}\begin{matrix}x=\left(-5\right).\left(-5\right)=25\\y=\left(-5\right).7=-35\end{matrix}\right.\)

\(\left(\dfrac{2x}{5}+3\right):\left(-5\right)=\dfrac{-1}{25}\\ \dfrac{2x}{5}+3=\dfrac{-1}{25}\cdot\left(-5\right)\\ \dfrac{2x}{5}+3=\dfrac{1}{5}\\ \dfrac{2x+15}{5}=\dfrac{1}{5}\\ 2x+15=1\\ 2x=-14\\ x=-7\)

Vậy x = -7

\(\left(\dfrac{2x}{5}+3\right)\):\(\left(-5\right)=\dfrac{-1}{25}\)

\(\dfrac{2x}{5}+3=\dfrac{-1}{25}.\left(-5\right)\)

\(\dfrac{2x}{5}+3=\dfrac{1}{5}\)

\(\dfrac{2x}{5}=\dfrac{1}{5}+3\)

\(\dfrac{2x}{5}=\dfrac{16}{5}\)

2x=16

x=16:2

x=8

Vậy x= 8

7

1. D

2. A

3. 

4.

`\text {B -> C -> A -> D}`

5.

a: Xét tứ giác MAOB có 

\(\widehat{MAO}+\widehat{MBO}=180^0\)

Do đó: MAOB là tứ giác nội tiếp