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Two bodies have a mass ratio of \(3\ :\ 4\) The force applied on the bigger mass produces an acceleration of \(12\) . 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,
\(Acceleration\ on\ the\ first\ body\) (\(a_1\)) \(=\) \(ms^{-2}\)