A 300 g block is dropped onto a relaxed vertical spring with spring constant k = 250 N/m. The block compresses the spring 12 cm before momentarily stopping. a. Draw the free body diagram of the block while it is in contact with the spring. b. What is the work done on the block by the spring force? c. What is the speed of the block just before it hits the spring?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 300 g block is dropped onto a relaxed vertical spring with spring constant k = 250 N/m. The block compresses the spring 12 cm before momentarily stopping. a. Draw the free body diagram of the block while it is in contact with the spring. b. What is the work done on the block by the spring force? c. What is the speed of the block just before it hits the spring?

The image illustrates a simplified process of powder compaction, commonly used in materials science and engineering to form a solid object. The diagram is composed of several key components:

1. **Powder Source (Top)**: The red rectangle at the top represents a container or source of powdered material. The small red lines facing downward indicate the powder being released. 

2. **Arrow**: A downward-pointing arrow shows the direction in which the powder is applied, indicating the gravitational or mechanical force used to move the powder into the die.

3. **Die (Center)**: The area between the two vertical structures represents a die, a mold used to shape the material. The die's brown color and vertical walls depict its robust, sturdy nature essential for maintaining shape during compaction.

4. **Compaction Process (Middle)**: The blue, spirally arranged shapes in the center symbolize the powder being compacted. This illustrates how the powder particles are compressed into a cohesive, denser form through applied pressure.

5. **Base**: The horizontal layer at the bottom of the die suggests the base or bottom of the mold, providing support during the compaction process.

This diagram effectively conveys the fundamental idea of transforming powder into a solid structure through the use of a die and compaction forces, a critical technique in manufacturing various metal, ceramic, and pharmaceutical products.
Transcribed Image Text:The image illustrates a simplified process of powder compaction, commonly used in materials science and engineering to form a solid object. The diagram is composed of several key components: 1. **Powder Source (Top)**: The red rectangle at the top represents a container or source of powdered material. The small red lines facing downward indicate the powder being released. 2. **Arrow**: A downward-pointing arrow shows the direction in which the powder is applied, indicating the gravitational or mechanical force used to move the powder into the die. 3. **Die (Center)**: The area between the two vertical structures represents a die, a mold used to shape the material. The die's brown color and vertical walls depict its robust, sturdy nature essential for maintaining shape during compaction. 4. **Compaction Process (Middle)**: The blue, spirally arranged shapes in the center symbolize the powder being compacted. This illustrates how the powder particles are compressed into a cohesive, denser form through applied pressure. 5. **Base**: The horizontal layer at the bottom of the die suggests the base or bottom of the mold, providing support during the compaction process. This diagram effectively conveys the fundamental idea of transforming powder into a solid structure through the use of a die and compaction forces, a critical technique in manufacturing various metal, ceramic, and pharmaceutical products.
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