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Two bodies have a mass ratio of \(3\ :\ 4\) The force applied on the bigger mass produces an acceleration of \(12\) ms2. What could be the acceleration of the other body, if the same force acts on it.
 
Consider,
 
\(m_{1}, m_{2}\) - Masses of bodies
 
\(F_{1}, F_{2}\) - Forces acting on two bodies
 
\({a_1}, {a_2}\) - Acceleration on the two bodies
 
Formula to find the force:
From the data given,
 
Masses of the bodies \(=\) \(m_{1}:m_{2}\) \(=\) \(3 : 4\)
 
Force acting on two bodies are equal \(=\) \(F_{1} = F_{2}\)
 
So, the acceleration on the first body,
Substitute the given values,
 
\(Acceleration\ on\ the\ first\ body\) (\(a_1\)) \(=\)  \(ms^{-2}\)