k=1/2mv^2 eching

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

m uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1}{2}mv^{2}=k$$

Tenglama standart shaklda.

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

Ikki tarafini \frac{1}{2}v^{2} ga bo‘ling.

$$\frac{2\times \frac{v^{2}}{2}m}{v^{2}}=\frac{2k}{v^{2}}$$

\frac{1}{2}v^{2} ga bo'lish \frac{1}{2}v^{2} ga ko'paytirishni bekor qiladi.

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

k uchun yechish

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