A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.1 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? www.

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Chapter1: Units, Trigonometry. And Vectors
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just part (d)

**Problem Description:**

A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of \( k = 2.1 \, \text{N/cm} \) (see the figure). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?

**Diagram Explanation:**

The diagram illustrates a block above a vertical spring. The block is indicated as being in free fall, represented by an arrow pointing downward towards the spring. The spring is shown in a relaxed state before compression. The image aids in visualizing the scenario where the block compresses the spring upon impact.
Transcribed Image Text:**Problem Description:** A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of \( k = 2.1 \, \text{N/cm} \) (see the figure). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? **Diagram Explanation:** The diagram illustrates a block above a vertical spring. The block is indicated as being in free fall, represented by an arrow pointing downward towards the spring. The spring is shown in a relaxed state before compression. The image aids in visualizing the scenario where the block compresses the spring upon impact.
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