The expression for the acceleration a₂ is given as [tex]a_2=\frac{m_1a_1}{m_2}[/tex]
According to Newton's second law, the force applies is directly proportional and in the same direction as the acceleration. Mathematically;
T = ma
For the magnitude of the force of the first object
[tex]T_1=m_1a_1[/tex]
Similarly for the second object;
[tex]T_2=m_2a_2[/tex]
If the magnitude of the force is the same, hence;
[tex]m_1a_1=m_2a_2[/tex]
Make a₂ the subject of the formula to have:
[tex]a_2=\frac{m_1a_1}{m_2}[/tex]
Hence the expression for the acceleration a₂ is given as [tex]a_2=\frac{m_1a_1}{m_2}[/tex]
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