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Answer:
Explanation:
Let assume that one end of the spring is attached to the ground. The speed of the metal block when hits the relaxed vertical spring is:
The maximum compression of the spring is calculated by using the Principle of Energy Conservation:
After some algebraic handling, a second-order polynomial is formed:
The roots of the polynomial are, respectively:
The first root is the only solution that is physically reasonable. Then, the elongation of the spring is:
The maximum height that the block reaches after rebound is: