Two bodies of mass 4kg and 6kg are tied to the ends of a massless...

Two bodies of mass

4kg and 6kg

are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity

\left(g\right)

is:

Two bodies of mass 4kg and 6kg are tied to the ends of a massless string. The string passes over a pulley which is

Options

A $\dfrac{g}{2}$
B $\dfrac{g}{5}$
C $\dfrac{g}{10}$
D $g$

Correct answer

B. $\dfrac{g}{5}$

Step-by-step solution

$a = \dfrac{\left({m}_{2} - {m}_{1}\right)g}{{m}_{1} + {m}_{2}}$

$a = \dfrac{( 6 - 4 ) g}{6 + 4} = \dfrac{2g}{10}$

$a = \dfrac{g}{5}$

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