Whakaoti i te 1/2mv^2=1/2*(21*10^3)(29*10^3)^2

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

Whakaoti mō m

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

$$v\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te \frac{1}{2} ki ngā taha e rua.

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

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

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

Whakareatia te 21 ki te 1000, ka 21000.

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

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

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

Whakareatia te 29 ki te 1000, ka 29000.

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

Tātaihia te 29000 mā te pū o 2, kia riro ko 841000000.

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

Whakareatia te 21000 ki te 841000000, ka 17661000000000.

$$mv^{2}=17661000000000$$

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te v^{2}.

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

Mā te whakawehe ki te v^{2} ka wetekia te whakareanga ki te v^{2}.

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

Whakaoti mō v

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

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