Utente:Lange/Prove/GalassiaDa Wikipedia, l'enciclopedia encyclopedia a 2 → = F → m 2 {\displaystyle {\vec {a_{2}}}={\frac {\vec {F}}{m_{2}}}} F i n → = − m a 2 → = − m F → m 2 {\displaystyle {\vec {F_{in}}}=-m{\vec {a_{2}}}=-m{\frac {\vec {F}}{m_{2}}}} m 1 a 1 ′ → = − F → − m 1 m 2 F → = − F → ( 1 + m 1 m 2 ) = − F → ( m 2 + m 1 m 2 ) {\displaystyle {\begin{aligned}m_{1}{\vec {a_{1}^{'}}}&=-{\vec {F}}-{\frac {m_{1}}{m_{2}}}{\vec {F}}\\&=-{\vec {F}}\left(1+{\frac {m_{1}}{m_{2}}}\right)\\&=-{\vec {F}}\left({\frac {m_{2}+m_{1}}{m_{2}}}\right)\end{aligned}}} μ d 2 R d t 2 = − F → {\displaystyle \mu {\frac {d^{2}R}{dt^{2}}}=-{\vec {F}}} m A − m B = − 2.5 L o g ( L A 4 L A ( 2 d A ) 2 d A 2 ) = − 2.5 L o g ( 4 4 ) = 0 {\displaystyle {\begin{aligned}m_{A}-m_{B}&=-2.5\;Log\left({\frac {L_{A}}{4L_{A}}}{\frac {(2d_{A})^{2}}{d_{A}^{2}}}\right)\\&=-2.5\;Log\left({\frac {4}{4}}\right)\\&=0\end{aligned}}}
a 2 → = F → m 2 {\displaystyle {\vec {a_{2}}}={\frac {\vec {F}}{m_{2}}}} F i n → = − m a 2 → = − m F → m 2 {\displaystyle {\vec {F_{in}}}=-m{\vec {a_{2}}}=-m{\frac {\vec {F}}{m_{2}}}} m 1 a 1 ′ → = − F → − m 1 m 2 F → = − F → ( 1 + m 1 m 2 ) = − F → ( m 2 + m 1 m 2 ) {\displaystyle {\begin{aligned}m_{1}{\vec {a_{1}^{'}}}&=-{\vec {F}}-{\frac {m_{1}}{m_{2}}}{\vec {F}}\\&=-{\vec {F}}\left(1+{\frac {m_{1}}{m_{2}}}\right)\\&=-{\vec {F}}\left({\frac {m_{2}+m_{1}}{m_{2}}}\right)\end{aligned}}} μ d 2 R d t 2 = − F → {\displaystyle \mu {\frac {d^{2}R}{dt^{2}}}=-{\vec {F}}} m A − m B = − 2.5 L o g ( L A 4 L A ( 2 d A ) 2 d A 2 ) = − 2.5 L o g ( 4 4 ) = 0 {\displaystyle {\begin{aligned}m_{A}-m_{B}&=-2.5\;Log\left({\frac {L_{A}}{4L_{A}}}{\frac {(2d_{A})^{2}}{d_{A}^{2}}}\right)\\&=-2.5\;Log\left({\frac {4}{4}}\right)\\&=0\end{aligned}}}