A mass of \(2.0\) kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released, the mass executes a simple harmonic motion. The spring constant is \(200\) N/m. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan?
(Take \(g=10\) m/s2)
1. | \(8.0\) cm |
2. | \(10.0\) cm |
3. | any value less than \(12.0\) cm |
4. | \(4.0\) cm |