Two masses m_1 = 5 kg and m_2 = 4.8 kg tie

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Two masses ${m_1} = 5\,kg$ and ${m_2} = 4.8\,kg$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when they are free to move  .......... $m/s^{2}$  $(g = 9.8\,\,m/{s^2})$

A

$0.2$

B

$9.8$

C

$5$

D

$4.8$

Two masses ${m_1} = 5\,kg$ and ${m_2} = 4.8\,kg$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when they are free to move  .......... $m/s^{2}$  $(g = 9.8\,\,m/{s^2})$

$a = \left[ {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right]g = \left[ {\frac{{5 - 4.8}}{{5 + 4.8}}} \right] \times 9.8 = 0.2\;m/{s^2}$