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 .......... $m/s^{2}$
$20$
$5$
$2.5$
$10$
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 .......... $m/s^{2}$
$a = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)g = \left( {\frac{{10 - 6}}{{10 + 6}}} \right) \times 10 = 2.5\,m/{s^2}$