The acceleration of the first block (4 kg) is -9.8 m/s².
The given parameters:
- Mass of the first block, m₁ = 4.0 kg
- Mass of the second block, m₂ = 2.0 kg
The net force on the system of the two blocks is calculated as follows;
[tex]m_2 g - T = m_1 a[/tex]
where;
- T is the tension in the connecting string due weight of the first block
[tex]m_2 g - m_1 g = m_1 a\\\\a = \frac{m_2 g - m_1g}{m_1} \\\\a = \frac{g(m_2 - m_1)}{m_1} \\\\a = \frac{9.8(2-4)}{2} \\\\a = -9.8 \ m/s^2[/tex]
Thus, the acceleration of the first block (4 kg) is -9.8 m/s².
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