Two bodies of mass 3 kg and 4 kg are sus

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Two bodies of mass $3\, kg$ and $4\, kg$ are suspended at the ends of massless string passing over a frictionless pulley. The acceleration of the system is ........ $m/{s^2}$  $(g = 9.8\,m/{s^2})$ 

A

$4.9$

B

$2.45$

C

$1.4$

D

$9.5$

Two bodies of mass $3\, kg$ and $4\, kg$ are suspended at the ends of massless string passing over a frictionless pulley. The acceleration of the system is ........ $m/{s^2}$  $(g = 9.8\,m/{s^2})$ 

Acceleration$ = \frac{{({m_2} - {m_1})}}{{({m_2} + {m_1})}}g$
$ = \frac{{4 - 3}}{{4 + 3}} \times 9.8 = \frac{{9.8}}{7} = 1.4\,m/{\sec ^2}$