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# What is the speed of the block just before it hits the spring?

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A 500 g block is dropped onto a relaxed vertical spring with a spring constant k = 3 N/cm. The block becomes attached to the spring and continues downward under the influence of gravity, compressing the spring 15 cm before momentarily stopping. What is the speed of the block just before it hits the spring?

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With good explanations and full calculations, the problem is solved.

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There are several ways to approach a problem like this. Let's take it from a conservation of energy approach:

At first, just as the block touches the spring, it has a certain amount of energy, E1, composed of gravitational potential energy due to its height, and kinetic energy due to its downward velocity. Let's set the 0 point for potential ...

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