A block A of mass 7 kg is placed on a fri

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A block $A$ of mass $7 \,kg$ is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body $B$ of mass $3\, kg$ at the other end. The acceleration of the system is .......... $ms^{-2}$          (given g = 10$m{s^{ - 2}})$

A

$100$

B

$3$

C

$10$

D

$30$

A block $A$ of mass $7 \,kg$ is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body $B$ of mass $3\, kg$ at the other end. The acceleration of the system is .......... $ms^{-2}$          (given g = 10$m{s^{ - 2}})$

$a = \frac{{{m_2}}}{{{m_1} + {m_2}}}g = \frac{3}{{7 + 3}}10 = 3\,m/{s^2}$