Two masses m_1 and m_2 are attached to a s

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Two masses ${m_1}$ and ${m_2}$ are attached to a string which passes over a frictionless smooth pulley. When ${m_1} = 10kg,$ ${m_2} = 6kg,\,$the acceleration of masses is  .......... $m/s^{2}$

A

$20$

B

$5$

C

$2.5$

D

$10$

Two masses ${m_1}$ and ${m_2}$ are attached to a string which passes over a frictionless smooth pulley. When ${m_1} = 10kg,$ ${m_2} = 6kg,\,$the acceleration of masses is  .......... $m/s^{2}$

$a = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)g = \left( {\frac{{10 - 6}}{{10 + 6}}} \right) \times 10 = 2.5\,m/{s^2}$