### Understanding the Work Done by a Spring on a Block#### Setup Description:A spring and block are illustrated in the setup shown in the image. When the block is pulled out to \( x = +4.0 \, \text{cm} \), a force of magnitude \( 360 \, \text{N} \) must be applied to hold it in place. The block is then pulled to \( x = 12.0 \, \text{cm} \) and released.### Key Questions:1. How much work does the spring do on the block when the block moves from \( x_i = +5.0 \, \text{cm} \) to: - (a) \( x = +3.0 \, \text{cm} \) - (b) \( x = -3.0 \, \text{cm} \) - (c) \( x = -5.0 \, \text{cm} \) - (d) \( x = -9.0 \, \text{cm} \)### Diagrams:#### Diagram (a):- Position: \( x = 0 \)- Description: The block is at rest at the equilibrium position where \( F_s = 0 \) (no spring force is acting on the block).![Diagram (a)](https://linktodiagram) #### Diagram (b):- Position: \( 0 < x < 12.0 \, \text{cm} \)- Description: The block is pulled in the positive \( x \)-direction. Here, \( x \) is positive and the spring force \( F_s \) is negative, opposing the direction of the applied force.![Diagram (b)](https://linktodiagram) #### Diagram (c):- Position: \( x < 0 \)- Description: The block is pushed in the negative \( x \)-direction. Here, \( x \) is negative and the spring force \( F_s \) is positive, again opposing the direction of applied force.![Diagram (c)](https://linktodiagram) #### Diagram (d):- Position: \( x < 0 \)- Description: The block is further pushed in the negative \( x \)-direction beyond the position in Diagram (c), resulting in a more significant positive spring force \( F_s \

Name: ### Understanding the Work Done by a Spring on a Block#### Setup Desc
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Description: ### Understanding the Work Done by a Spring on a Block#### Setup Description:A spring and block are illustrated in the setup shown in the image. When the block is pulled out to \( x = +4.0 \, \text{cm} \), a force of magnitude \( 360 \, \text{N} \)

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A spring and block are in the arrangement of the figure. When the block is pulled out to x = +4.0 cm, we must apply a force of magnitude 360 N to hold it there. We pull the block to x = 12.0 cm and then release it. How much work does the spring do on the block when the block moves from x₁ = +5.0 cm to (a) x = +3.0 cm, (b) x = -3.0 cm, (c) x= -5.0 cm, and (d) x = -9.0 cm? F=0 vooooooo x positive F negative ooo mom 0 (a) (b) (c) d Block attached to spring x negative F, positive ·x x x

A spring and block are in the arrangement of the figure. When the block is pulled out to x = +4.0 cm, we must apply a force of magnitude 360 N to hold it there. We pull the block to x = 12.0 cm and then release it. How much work does the spring do on the block when the block moves from x₁ = +5.0 cm to (a) x = +3.0 cm, (b) x = -3.0 cm, (c) x= -5.0 cm, and (d) x = -9.0 cm? F=0 vooooooo x positive F negative ooo mom 0 (a) (b) (c) d Block attached to spring x negative F, positive ·x x x

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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### Understanding the Work Done by a Spring on a Block

#### Setup Description:

A spring and block are illustrated in the setup shown in the image. When the block is pulled out to \( x = +4.0 \, \text{cm} \), a force of magnitude \( 360 \, \text{N} \) must be applied to hold it in place. The block is then pulled to \( x = 12.0 \, \text{cm} \) and released.

### Key Questions:

1. How much work does the spring do on the block when the block moves from \( x_i = +5.0 \, \text{cm} \) to:
- (a) \( x = +3.0 \, \text{cm} \)
- (b) \( x = -3.0 \, \text{cm} \)
- (c) \( x = -5.0 \, \text{cm} \)
- (d) \( x = -9.0 \, \text{cm} \)

### Diagrams:

#### Diagram (a):
- Position: \( x = 0 \)
- Description: The block is at rest at the equilibrium position where \( F_s = 0 \) (no spring force is acting on the block).
![Diagram (a)](https://linktodiagram)

#### Diagram (b):
- Position: \( 0 < x < 12.0 \, \text{cm} \)
- Description: The block is pulled in the positive \( x \)-direction. Here, \( x \) is positive and the spring force \( F_s \) is negative, opposing the direction of the applied force.
![Diagram (b)](https://linktodiagram)

#### Diagram (c):
- Position: \( x < 0 \)
- Description: The block is pushed in the negative \( x \)-direction. Here, \( x \) is negative and the spring force \( F_s \) is positive, again opposing the direction of applied force.
![Diagram (c)](https://linktodiagram)

#### Diagram (d):
- Position: \( x < 0 \)
- Description: The block is further pushed in the negative \( x \)-direction beyond the position in Diagram (c), resulting in a more significant positive spring force \( F_s \

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