Answer
$0.06m$
Work Step by Step
We can find the required height as follows:
$\Delta y=\frac{1}{2g}(2gh \frac{m_1-m_2}{m_1+m_2})=h(\frac{m_1-m_2}{m_1+m_2})$
$\Delta y=(1.2)(\frac{4.1-3.7}{3.7+4.1})$
$\Delta y=0.06m$
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