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
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
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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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b550e2e-d6d4-4468-a0a7-2bd961521189%2Fbbf924f8-75ad-47f6-800e-11f0d20e6ed9%2Fs11rxmr_processed.jpeg&w=3840&q=75)
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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