Question

Из формулы: hʋ = A+mʋ2/2 выразить: ʋ и mʋ2/2

Answer 1

Ответ:   $\frac{V=A+mv 2/2}{h}$   $mv2/2= hv - A$

Answer 2

To isolate $\upsilon$ and $\frac{m\upsilon^2}{2}$ from the given formula $h\upsilon = A + \frac{m\upsilon^2}{2}$, we'll rearrange the equation step by step:

1. Start with the given formula: $h\upsilon = A + \frac{m\upsilon^2}{2}$

2. Subtract $A$ from both sides: $h\upsilon - A = \frac{m\upsilon^2}{2}$

3. Multiply both sides by 2: $2(h\upsilon - A) = m\upsilon^2$

4. Divide both sides by $m$: $\frac{2(h\upsilon - A)}{m} = \upsilon^2$

5. Take the square root of both sides to isolate $\upsilon$: $\upsilon = \sqrt{\frac{2(h\upsilon - A)}{m}}$

6. Now, express $\frac{m\upsilon^2}{2}$ in terms of $\upsilon$: $\frac{m\upsilon^2}{2} = \frac{m}{2} \times \left(\frac{2(h\upsilon - A)}{m}\right)$ $\frac{m\upsilon^2}{2} = (h\upsilon - A)$

So, the expressions for $\upsilon$ and $\frac{m\upsilon^2}{2}$ in terms of $h$, $A$, $m$, and $\upsilon$ are: $\upsilon = \sqrt{\frac{2(h\upsilon - A)}{m}}$ $\frac{m\upsilon^2}{2} = (h\upsilon - A)$