Question

Выразить каждую переменную, стоящую под знаком радикала

Answer 1

$t= \sqrt{ \frac{2S}{a}}\; \; \; \; t= \frac{ \sqrt{2} \sqrt{S} }{ \sqrt{a} }\\\\ \sqrt{a}= \frac{ \sqrt{2S}}{t}\; \; \;a= \frac{2S}{t^2} \\\\ \sqrt{S}= \frac{ \sqrt{a}t }{ \sqrt{2} }\; \; \; \;S= \frac{at^2}{2}$

$v= \frac{k \sqrt{F} }{l}\\\\ \sqrt{F}= \frac{vl}{k}\; \; \; \;F=( \frac{vl}{k} )^2$

$\frac{v_1}{v_2} = \sqrt{ \frac{m_1}{m_2} }\; \; \; \; \frac{v_1}{v_2} = \frac{ \sqrt{m_1} }{ \sqrt{m_2} } \\\\ \sqrt{m_1}= \frac{v_1 \sqrt{m_2} }{v_2}\; \; \; \; m_1= \frac{v_1^2m_2}{v_2^2} \\\\ \sqrt{m_2}= \frac{v_2 \sqrt{m_1} }{v_1}\; \; \; \; m_2= \frac{v_2^2m_1}{v_1^2}$