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?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?

**Diagram Description:**

The diagram shows a vertical spring positioned at the bottom of a container. Above the spring, there is a red block with a downward arrow indicating the direction of motion. The spring is in a compressed state due to the block's impact. The setup visually represents the interaction between the block and the spring.
Transcribed Image Text:**Text:** 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? **Diagram Description:** The diagram shows a vertical spring positioned at the bottom of a container. Above the spring, there is a red block with a downward arrow indicating the direction of motion. The spring is in a compressed state due to the block's impact. The setup visually represents the interaction between the block and the spring.
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