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Q. 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 $\left(g = 9 .8 \, m s^{- 2}\right)$
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NTA AbhyasNTA Abhyas 2022

Solution:

$a=\left[\frac{m_{1} - m_{2}}{m_{1} + m_{2}}\right]g=\left[\frac{5 - 4.8}{5 + 4.8}\right]\times 9.8=0.2ms^{- 2}$