In the given figure a block P of mass \(m\) is attached to a spring and is resting on a smooth horizontal floor at a distance \(L\) from the left wall. Initially, the spring is in its natural length. P is now pushed towards right by a distance \(\frac{3L}{2}\) and released. When block passes through the spring's relaxed state, another block of mass \(m_1\) is placed on it which sticks to it. What is the value of \(m_1\) so that the combined block just collides with the left wall?

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