Use the worked example above to help you solve this problem. A block with mass of 5.19 kg is attached to a horizontal spring with spring constant k = 3.25 x 102 N/m, as shown in the figure. The surface the block rests upon is frictionless. The block is pulled out to x, = 0.0540 m and released. (a) Find the speed of the block at the equilibrium point. V m/s .4273 (b) Find the speed when x = 0.026 m. |4271 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (c) Repeat part (a) if friction acts on the block, with coefficient u; = 0.160. .312 Your response differs from the correct answer by more than 100%. m/s
Use the worked example above to help you solve this problem. A block with mass of 5.19 kg is attached to a horizontal spring with spring constant k = 3.25 x 102 N/m, as shown in the figure. The surface the block rests upon is frictionless. The block is pulled out to x, = 0.0540 m and released. (a) Find the speed of the block at the equilibrium point. V m/s .4273 (b) Find the speed when x = 0.026 m. |4271 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (c) Repeat part (a) if friction acts on the block, with coefficient u; = 0.160. .312 Your response differs from the correct answer by more than 100%. m/s
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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![### Example Problem with Spring System
Use the worked example below to help you solve this problem. A block with mass of 5.19 kg is attached to a horizontal spring with spring constant \( k = 3.25 \times 10^2 \) N/m, as shown in the figure. The surface the block rests upon is frictionless. The block is pulled out to \( x_i = 0.0540 \) m and released.
#### Questions:
**(a) Find the speed of the block at the equilibrium point.**
\[ \boxed{0.4273} \, \text{m/s} \]
✓
**(b) Find the speed when \( x = 0.026 \) m.**
\[ \boxed{0.4271} \, \text{m/s} \]
✗
Your response differs from the correct answer by more than 10%. Double check your calculations.
**(c) Repeat part (a) if friction acts on the block, with coefficient \( \mu_k = 0.160 \).**
\[ \boxed{0.312} \, \text{m/s} \]
✗
Your response differs from the correct answer by more than 100%.
---
### Exercise
Use the values from PRACTICE IT to help you work this exercise. Suppose the spring system in the last example starts at \( x = 0 \) and the attached object is given a kick to the right, so it has an initial speed of 0.67 m/s.
#### Questions:
**(a) What distance from the origin does the object travel before coming to rest, assuming the surface is frictionless?**
\[ \boxed{0.084} \, \text{m} \]
✓
**(b) How does the answer change if the coefficient of kinetic friction is \( \mu_k = 0.160 \)? (Use the quadratic formula.)**
\[ \boxed{} \, \text{m} \]
---
### Additional Notes
- For each part, ensure to use the appropriate formulas considering the physical conditions.
- Double-check calculations, especially when dealing with frictional forces and spring constants.
- Pay attention to the details given in the problem to avoid common mistakes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a11e24e-4dce-4217-b581-0c685bce3b9b%2F8c1b116a-a37c-43c4-ae10-937f6a303553%2Fi303i7_processed.png&w=3840&q=75)
Transcribed Image Text:### Example Problem with Spring System
Use the worked example below to help you solve this problem. A block with mass of 5.19 kg is attached to a horizontal spring with spring constant \( k = 3.25 \times 10^2 \) N/m, as shown in the figure. The surface the block rests upon is frictionless. The block is pulled out to \( x_i = 0.0540 \) m and released.
#### Questions:
**(a) Find the speed of the block at the equilibrium point.**
\[ \boxed{0.4273} \, \text{m/s} \]
✓
**(b) Find the speed when \( x = 0.026 \) m.**
\[ \boxed{0.4271} \, \text{m/s} \]
✗
Your response differs from the correct answer by more than 10%. Double check your calculations.
**(c) Repeat part (a) if friction acts on the block, with coefficient \( \mu_k = 0.160 \).**
\[ \boxed{0.312} \, \text{m/s} \]
✗
Your response differs from the correct answer by more than 100%.
---
### Exercise
Use the values from PRACTICE IT to help you work this exercise. Suppose the spring system in the last example starts at \( x = 0 \) and the attached object is given a kick to the right, so it has an initial speed of 0.67 m/s.
#### Questions:
**(a) What distance from the origin does the object travel before coming to rest, assuming the surface is frictionless?**
\[ \boxed{0.084} \, \text{m} \]
✓
**(b) How does the answer change if the coefficient of kinetic friction is \( \mu_k = 0.160 \)? (Use the quadratic formula.)**
\[ \boxed{} \, \text{m} \]
---
### Additional Notes
- For each part, ensure to use the appropriate formulas considering the physical conditions.
- Double-check calculations, especially when dealing with frictional forces and spring constants.
- Pay attention to the details given in the problem to avoid common mistakes.
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