Áp dụng định luật II Newton cho vật \(m_1;m_2\) được
\(a_1=\dfrac{F}{m_1}\Leftrightarrow m_1=\dfrac{F}{a_1}\)
\(a_2=\dfrac{F}{m_2}\Leftrightarrow m_2=\dfrac{F}{a_2}\)
\(\Rightarrow m_1+m_2=\dfrac{F}{a_1}+\dfrac{F}{a_2}\)
\(\Leftrightarrow m_1+m_2=F\left(\dfrac{1}{a_1}+\dfrac{1}{a_2}\right)\)
\(\Leftrightarrow m_1+m_2=F\left(\dfrac{a_2+a_2}{a_1.a_2}\right)\)
\(\Leftrightarrow\dfrac{F}{m_1+m_2}=\dfrac{a_1a_2}{a_1+a_2}=\dfrac{2.3}{2+3}=1,2=a\)
\(\Rightarrow a=1,2m\text{/ }s^2\)