A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.1 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Spring Compression and Work Done**

A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of \( k = 2.1 \, \text{N/cm} \) (see the figure). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by 

(a) the gravitational force on it and 
(b) the spring force? 

(c) What is the speed of the block just before it hits the spring? 

(Assume that friction is negligible.) 

(d) If the speed at impact is doubled, what is the maximum compression of the spring?

**Responses:**

- **(a)** 
  - Number: [Input Box] 
  - Units: [Dropdown Menu]

- **(b)** 
  - Number: [Input Box] 
  - Units: [Dropdown Menu]

- **(c)** 
  - Number: [Input Box] 
  - Units: [Dropdown Menu]

- **(d)** 
  - Number: [Input Box] 
  - Units: [Dropdown Menu] 

**Explanation:**

This exercise requires understanding the concepts of work and energy in the context of spring compression. Consider gravitational potential energy, kinetic energy, and elastic potential energy to solve the questions.
Transcribed Image Text:**Physics Problem: Spring Compression and Work Done** A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of \( k = 2.1 \, \text{N/cm} \) (see the figure). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? **Responses:** - **(a)** - Number: [Input Box] - Units: [Dropdown Menu] - **(b)** - Number: [Input Box] - Units: [Dropdown Menu] - **(c)** - Number: [Input Box] - Units: [Dropdown Menu] - **(d)** - Number: [Input Box] - Units: [Dropdown Menu] **Explanation:** This exercise requires understanding the concepts of work and energy in the context of spring compression. Consider gravitational potential energy, kinetic energy, and elastic potential energy to solve the questions.
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