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Two blocks of masses $3$ kg and $5$ kg are connected by a light inextensible string passing over a smooth pulley (Atwood machine). Find the acceleration of the system. (Take $g = 10$ m/s².)

A$1.5$ m/s²
B$2.0$ m/s²
C$2.5$ m/s²
D$3.0$ m/s²
Answer & Solution
Correct answer: C. $2.5$ m/s²
Atwood-machine acceleration: $a = \dfrac{(m_2 - m_1)g}{m_1 + m_2} = \dfrac{2 \times 10}{8} = 2.5$ m/s².
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