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:**

\[ m_w = \boxed{\, \, \, } \, \text{kg} \]
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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