A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (Figure 1). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. Part A What is the coefficient of kinetic friction 4 between the block and the tabletop? Hk = Submit Request Answer Provide Feedback Figure < 1 of 1 k= 100 N/m m = 0.50 kg 0.20 m 1.00 m

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### Example Problem: Block and Spring System

#### Problem Statement:
A block with mass \(0.50 \, \text{kg}\) is forced against a horizontal spring of negligible mass, compressing the spring a distance of \(0.20 \, \text{m}\) (refer to Figure 1). When released, the block moves on a horizontal tabletop for \(1.00 \, \text{m}\) before coming to rest. The spring constant \(k\) is \(100 \, \text{N/m}\).

#### Part A:
What is the coefficient of kinetic friction \(\mu_k\) between the block and the tabletop?

\[ \mu_k = \]

*[Submit]*  [Request Answer]

#### Figure 1:
The figure illustrates the system mentioned in the problem statement:

- On the left side, there is a spring compressed by \(0.20 \, \text{m}\).
- The spring constant \(k\) is given as \(100 \, \text{N/m}\).
- To the right of the spring, the block (with mass \(0.50 \, \text{kg}\)) lies on a horizontal tabletop.
- The block travels \(1.00 \, \text{m}\) on the tabletop before coming to rest.

The diagram provides a visual representation of the initial compression of the spring and the subsequent motion of the block on the tabletop. 

#### Additional Notes:
- Use principles of energy conservation and frictional forces to solve for the coefficient of kinetic friction.
- Consider the energy stored in the compressed spring and the work done against friction as the block moves and comes to rest.

For further assistance, please provide feedback on the problem.
Transcribed Image Text:### Example Problem: Block and Spring System #### Problem Statement: A block with mass \(0.50 \, \text{kg}\) is forced against a horizontal spring of negligible mass, compressing the spring a distance of \(0.20 \, \text{m}\) (refer to Figure 1). When released, the block moves on a horizontal tabletop for \(1.00 \, \text{m}\) before coming to rest. The spring constant \(k\) is \(100 \, \text{N/m}\). #### Part A: What is the coefficient of kinetic friction \(\mu_k\) between the block and the tabletop? \[ \mu_k = \] *[Submit]* [Request Answer] #### Figure 1: The figure illustrates the system mentioned in the problem statement: - On the left side, there is a spring compressed by \(0.20 \, \text{m}\). - The spring constant \(k\) is given as \(100 \, \text{N/m}\). - To the right of the spring, the block (with mass \(0.50 \, \text{kg}\)) lies on a horizontal tabletop. - The block travels \(1.00 \, \text{m}\) on the tabletop before coming to rest. The diagram provides a visual representation of the initial compression of the spring and the subsequent motion of the block on the tabletop. #### Additional Notes: - Use principles of energy conservation and frictional forces to solve for the coefficient of kinetic friction. - Consider the energy stored in the compressed spring and the work done against friction as the block moves and comes to rest. For further assistance, please provide feedback on the problem.
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