Lahenda 1/2mv^2=1/2*(21*10^3)(29*10^3)^2

$$\frac { 1 } { 2 } m v ^ { 2 } = \frac { 1 } { 2 } \cdot ( 21 \times 10 ^ { 3 } ) ( 29 \times 10 ^ { 3 } ) ^ { 2 }$$

Lahendage ja leidke m

$$m=\frac{17661000000000}{v^{2}}$$

$$v\neq 0$$

Juhised lineaarvõrrandi lahendamiseks

\frac{1}{2} taandatakse mõlemal poolel.

$$mv^{2}=21\times 10^{3}\times \left(29\times 10^{3}\right)^{2}$$

Arvutage 3 aste 10 ja leidke 1000.

$$mv^{2}=21\times 1000\times \left(29\times 10^{3}\right)^{2}$$

Korrutage 21 ja 1000, et leida 21000.

$$mv^{2}=21000\times \left(29\times 10^{3}\right)^{2}$$

Arvutage 3 aste 10 ja leidke 1000.

$$mv^{2}=21000\times \left(29\times 1000\right)^{2}$$

Korrutage 29 ja 1000, et leida 29000.

$$mv^{2}=21000\times 29000^{2}$$

Arvutage 2 aste 29000 ja leidke 841000000.

$$mv^{2}=21000\times 841000000$$

Korrutage 21000 ja 841000000, et leida 17661000000000.

$$mv^{2}=17661000000000$$

Võrrand on standardkujul.

$$v^{2}m=17661000000000$$

Jagage mõlemad pooled v^{2}-ga.

$$\frac{v^{2}m}{v^{2}}=\frac{17661000000000}{v^{2}}$$

v^{2}-ga jagamine võtab v^{2}-ga korrutamise tagasi.

$$m=\frac{17661000000000}{v^{2}}$$

Lahendage ja leidke v (complex solution)

$$v=-290000\sqrt{210}m^{-\frac{1}{2}}$$

$$v=290000\sqrt{210}m^{-\frac{1}{2}}\text{, }m\neq 0$$

Lahendage ja leidke v

$$v=290000\sqrt{\frac{210}{m}}$$

$$v=-290000\sqrt{\frac{210}{m}}\text{, }m>0$$