a)
[tex]E_{k} = \frac{mv^{2}}{2} \ \ /\cdot2\\\\mv^{2} = 2E_{k} \ \ /:v^{2}\\\\\boxed{m = \frac{2E_{k}}{v^{2}}}[/tex]
b)
[tex]s = vt \ \ /:t\\\\\boxed{v = \frac{s}{t}}\\\\s = vt \ \ /:v\\\\\boxed{t = \frac{s}{v}}[/tex]
c)
[tex]a = \omega^{2}r \ \ /:\omega^{2}\\\\\boxed{r = \frac{a}{\omega^{2}}}[/tex]
d)
[tex]F = ma \ \ /:a\\\\\boxed{m = \frac{F}{a}}\\\\F = ma \ \ /:m\\\\\boxed{a = \frac{F}{m}}[/tex]
e)
[tex]s = \frac{at^{2}}{2} \ \ /\cdot 2\\\\at^{2} = 2s \ \ /:t^{2}\\\\\boxed{a = \frac{2s}{t^{2}}}[/tex]
f)
[tex]\frac{T_1}{v_1} = \frac{T_2}{v_2}\\\\T_2\cdot v_1 = T_1\cdot v_2 \ \ /:v_1\\\\\boxed{T_2 = \frac{T_1\cdot v_2}{v_1}}[/tex]
[tex]\frac{T_1}{v_1} = \frac{T_2}{v_2}\\\\T_1\cdot v_2 = T_2\cdot v_1 \ \ /:T_1\\\\\boxed{v_2 = \frac{T_2\cdot v_1}{T_1}}[/tex]
