A bullet with a mass m = 12.7 g is fired into a block of wood at velocity vo = 261 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block m. 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 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 vo = 261 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block m. 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 mw of the wooden block. mw = kg

Name: **Physics Problem: Bullet and Block System**A bullet with a mass \( m
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Description: **Physics Problem: Bullet and Block System**A bullet with a mass \( m_b = 12.7 \, \text{g} \) is fired into a block of wood at velocity \( v_b = 261 \, \text{m/s} \). The block is attached to a spring with a spring constant \( k = 205 \, \text{N/m}

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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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

**Physics Problem: Bullet and Block System**

A bullet with a mass \( m_b = 12.7 \, \text{g} \) is fired into a block of wood at velocity \( v_b = 261 \, \text{m/s} \). The block is attached to a spring with a spring constant \( k = 205 \, \text{N/m} \). The block and the 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.

**Given:**

- Mass of bullet, \( m_b = 12.7 \, \text{g} = 0.0127 \, \text{kg} \)
- Velocity of bullet, \( v_b = 261 \, \text{m/s} \)
- Spring constant, \( k = 205 \, \text{N/m} \)
- Spring compression, \( x = 35.0 \, \text{cm} = 0.35 \, \text{m} \)

**Find:**

Mass of wooden block, \( m_w \).

\( m_w = \underline{ \quad \quad } \, \text{kg} \)

**Illustration:**

A diagram is provided showing a bullet with mass \( m_b \) moving towards the right with velocity \( v_b \).

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