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A block of mass 2 kg compresses spring 1 with a force constant, k1=10000 N/M, by 8 cm. It is released and slides for a total of 50 cm on a surface with μk=0.2, at which point it compresses another spring 2, k2=1000 N/M and momentarily comes to rest. Remember that Us is the potential energy of the spring. Find the following values:
What is the Initial spring potential energy of spring 1.
32.0 J
| Computer's answer now shown above. You are correct. Your receipt no. is 156-1991 |
Previous Tries |
How much energy is dissipated by heat? This is the amount of work done by friction × -1.
2.00 J
| Computer's answer now shown above. You are correct. Your receipt no. is 156-7262 |
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How much Potential Energy does spring 2 have when the block has compressed spring 2 and is momentarily stopped?
30.0 J
| Computer's answer now shown above. You are correct. Your receipt no. is 156-2977 |
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By how much does spring 2 compress?
cm
Transcribed Image Text:### Explanation of the Image
The image illustrates a mechanical system involving two springs, labeled as "Spring 1" and "Spring 2," with an object positioned between them. The setup is designed to demonstrate concepts of spring potential energy and kinetic friction.
#### Key Components:
1. **Spring Potential Energy Equation**:
- The formula for the potential energy stored in a spring, \( U_s = \frac{1}{2}kx^2 \), is shown at the top of the diagram. Here, \( k \) represents the spring constant, and \( x \) is the displacement from the spring's equilibrium position.
2. **Springs**:
- **Spring 1**: On the left side of the diagram.
- **Spring 2**: On the right side of the diagram.
- Both springs are depicted as coiled lines connected to a solid boundary and a moveable object.
3. **Object**:
- The object is shown as a blue square situated between the springs.
4. **Kinetic Friction (\( \mu_k \))**:
- A horizontal line labeled with \( \mu_k \) represents the coefficient of kinetic friction affecting the sliding motion of the object across the surface.
5. **Sliding Distance (\( \Delta s \))**:
- An arrow labeled \( \Delta s = \text{distance sliding} \) illustrates the direction and the magnitude of the sliding motion from one spring towards the other.
This diagram serves as a visual aid for understanding how potential energy is stored in spring systems, how kinetic friction influences motion, and how distances covered during the sliding affect the physical interactions in the system.
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