kE=1/2mv^2 eching

$$k E = \frac { 1 } { 2 } m v ^ { 2 }$$

E uchun yechish

$$\left\{\begin{matrix}E=\frac{mv^{2}}{2k}\text{, }&k\neq 0\\E\in \mathrm{R}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }k=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$kE=\frac{mv^{2}}{2}$$

Ikki tarafini k ga bo‘ling.

$$\frac{kE}{k}=\frac{mv^{2}}{2k}$$

k ga bo'lish k ga ko'paytirishni bekor qiladi.

$$E=\frac{mv^{2}}{2k}$$

k uchun yechish

$$\left\{\begin{matrix}k=\frac{mv^{2}}{2E}\text{, }&E\neq 0\\k\in \mathrm{R}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }E=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$Ek=\frac{mv^{2}}{2}$$

Ikki tarafini E ga bo‘ling.

$$\frac{Ek}{E}=\frac{mv^{2}}{2E}$$

E ga bo'lish E ga ko'paytirishni bekor qiladi.

$$k=\frac{mv^{2}}{2E}$$