$\mathbf{a}.$  

$F_d=\frac{m\cdot v^2}{r}\mid \cdot r$  

$F_d\cdot r=m{v}^2\mid :v^2$  

$\frac{F_d\cdot r}{v^2}=m$  

$m=\frac{F_d\cdot r}{v^2}$  

 

$\mathbf{b}.$  

$p\cdot V=n\cdot R\cdot T\mid :p$  

$V=\frac{n\cdot R\cdot T}{p}$  

 

$\mathbf{c}.$   

$p=\frac{h}{\lambda }\mid \cdot \lambda$  

$p\cdot \lambda =h\mid :p$  

$\lambda =\frac{h}{p}$  

 

$\mathbf{d}.$  

$T=2\cdot \pi \cdot \sqrt{\frac{m}{k}}{\mid }^2$  

$T^2=2^2\cdot {\pi }^2\cdot {\left(\sqrt{\frac{m}{k}}\right)}^2$  

$T^2=4\cdot {\pi }^2\cdot \frac{m}{k}\mid \cdot k$  

$T^2\cdot k=4\cdot {\pi }^2\cdot m\mid :\left(4\cdot {\pi }^2\right)$  

$\frac{T^2\cdot k}{4\cdot {\pi }^2}=m$  

$m=\frac{T^2\cdot k}{4\cdot {\pi }^2}$  

 

$\mathbf{e}\text{*}.$  

$p=\frac{m_0\cdot v}{\sqrt{1-\frac{v^2}{c^2}}}{\mid }^2$  

$p^2=\frac{{\left(m_0\cdot v\right)}^2}{{\left(\sqrt{1-\frac{v^2}{c^2}}\right)}^2}$  

$p^2=\frac{m_0^2\cdot v^2}{1-\frac{v^2}{c^2}}$  

$p^2=\frac{m_0^2\cdot v^2}{\frac{1}{c^2}\left(c^2-v^2\right)}$  

$p^2=\frac{m_0^2\cdot v^2\cdot c^2}{c^2-v^2}\mid \cdot \left(c^2-v^2\right)$  

$p^2\cdot \left(c^2-v^2\right)=m_0^2\cdot v^2\cdot c^2$  

$p^2\cdot c^2-p^2\cdot v^2=m_0^2\cdot v^2\cdot c^2\mid +p^2\cdot v^2$  

$p^2\cdot c^2=m_0^2\cdot v^2\cdot c^2+p^2\cdot v^2$  

$p^2\cdot c^2=\left(m_0^2\cdot c^2+p^2\right)\cdot v^2\mid :\left(m_0^2\cdot c^2+p^2\right)$  

$\frac{p^2\cdot c^2}{m_0^2\cdot c^2+p^2}=v^2$  

$v^2=\frac{p^2\cdot c^2}{m_0^2\cdot c^2+p^2}\mid \sqrt{}$  

$v=\sqrt{\frac{p^2\cdot c^2}{m_0^2\cdot c^2+p^2}}$  

$v=\frac{\sqrt{p^2\cdot c^2}}{\sqrt{m_0^2\cdot c^2+p^2}}$  

$v=\frac{p\cdot c}{\sqrt{m_0^2\cdot c^2+p^2}}$