A bullet with a mass m, = 12.7 g is fired into a block of wood at velocity Ub = 253 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet m continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block. mw = kg
A bullet with a mass m, = 12.7 g is fired into a block of wood at velocity Ub = 253 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet m continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block. mw = kg
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 Description:**
A bullet with a mass \( m_b = 12.7 \, \text{g} \) is fired into a block of wood at a velocity \( v_b = 253 \, \text{m/s} \). The block is attached to a spring that has a spring constant \( k = 205 \, \text{N/m} \). The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass \( m_w \) of the wooden block.
**Diagram Explanation:**
- The diagram depicts a bullet with mass \( m_b \) moving towards a block at velocity \( v_b \).
- The block, initially at rest, is attached to a spring with spring constant \( k \).
- Upon impact, the bullet embeds in the block, and the combined system compresses the spring by 35.0 cm.
**Question:**
Determine the mass \( m_w \) of the wooden block.
**Solution Box:**
\[ m_w = \boxed{\, \, \, } \, \text{kg} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe496cfb4-14de-4877-8074-43f9c7c49581%2Feaa046a9-2279-4d64-8ede-420cc76bbedf%2Fi91kdc3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A bullet with a mass \( m_b = 12.7 \, \text{g} \) is fired into a block of wood at a velocity \( v_b = 253 \, \text{m/s} \). The block is attached to a spring that has a spring constant \( k = 205 \, \text{N/m} \). The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass \( m_w \) of the wooden block.
**Diagram Explanation:**
- The diagram depicts a bullet with mass \( m_b \) moving towards a block at velocity \( v_b \).
- The block, initially at rest, is attached to a spring with spring constant \( k \).
- Upon impact, the bullet embeds in the block, and the combined system compresses the spring by 35.0 cm.
**Question:**
Determine the mass \( m_w \) of the wooden block.
**Solution Box:**
\[ m_w = \boxed{\, \, \, } \, \text{kg} \]
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