A 12.0-g bullet is fired horizontally into a 107-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 147 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 77.0 cm, what was the speed of the bullet at impact with the block? 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
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### Problem 7

**Scenario:** A 12.0-g bullet is fired horizontally into a 107-g wooden block that is initially at rest on a frictionless horizontal surface. The block is connected to a spring with a spring constant of 147 N/m. The bullet becomes embedded in the block.

**Question:** If the bullet-block system compresses the spring by a maximum of 77.0 cm, what was the speed of the bullet at impact with the block?

**Input Required:** 
- Speed of the bullet at impact (in m/s). 

[Blank space for input]

---

This problem requires understanding of principles from physics, including conservation of energy and momentum, Hooke's Law, and the dynamics of a spring-mass system. The solution involves calculating the initial kinetic energy and converting it to potential energy stored in the spring.
Transcribed Image Text:### Problem 7 **Scenario:** A 12.0-g bullet is fired horizontally into a 107-g wooden block that is initially at rest on a frictionless horizontal surface. The block is connected to a spring with a spring constant of 147 N/m. The bullet becomes embedded in the block. **Question:** If the bullet-block system compresses the spring by a maximum of 77.0 cm, what was the speed of the bullet at impact with the block? **Input Required:** - Speed of the bullet at impact (in m/s). [Blank space for input] --- This problem requires understanding of principles from physics, including conservation of energy and momentum, Hooke's Law, and the dynamics of a spring-mass system. The solution involves calculating the initial kinetic energy and converting it to potential energy stored in the spring.
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