Question

A $10.0-\mathrm{g}$ bullet is fired into a stationary block of wood $(m=5.00 \mathrm{~kg}) .$ The relative motion of the bullet stops inside the block. The speed of the bullet-plus-wood combination immediately after the collision is measured as $0.600 \mathrm{~m} / \mathrm{s}$. What was the original speed of the bullet?

Name: Problem 17, Chapter 9: Fundamentals of Physics
Uploaded: 2021-06-21T23:55:41-08:00
Duration: 3 min 2 s
Channel: Rodrigo Diaz-Meneses
Description: A 10.0-g bullet is fired into a stationary block of wood (m=5.00 kg) . The relative motion of the bullet stops inside the block. The speed of the bullet-plus-wood combination immediately after the collision is measured as 0.600 m / s. What was the original speed of the bullet?

   A $10.0-\mathrm{g}$ bullet is fired into a stationary block of wood $(m=5.00 \mathrm{~kg}) .$ The relative motion of the bullet stops inside the block. The speed of the bullet-plus-wood combination immediately after the collision is measured as $0.600 \mathrm{~m} / \mathrm{s}$. What was the original speed of the bullet?

Fundamentals of Physics

David Halliday,… 8th Edition

Chapter 9, Problem 17

Instant Answer

Solved by Expert Rodrigo Diaz-Meneses

06/21/2021

Step 1

The total momentum before the collision is equal to the total momentum after the collision. The bullet and the block of wood are initially at rest, so their total momentum is zero. After the collision, the bullet is embedded in the block of wood, and they move Show more…

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A $10.0-\mathrm{g}$ bullet is fired into a stationary block of wood $(m=5.00 \mathrm{~kg}) .$ The relative motion of the bullet stops inside the block. The speed of the bullet-plus-wood combination immediately after the collision is measured as $0.600 \mathrm{~m} / \mathrm{s}$. What was the original speed of the bullet?

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Key Concepts

Conservation of Momentum

This fundamental principle of physics states that the total momentum of an isolated system remains constant if no external forces act on it. In collision problems, momentum conservation allows us to relate the velocities and masses of objects before and after the collision, providing a method to calculate unknown quantities such as the original speed of a projectile.

Inelastic Collisions

An inelastic collision is one in which the colliding objects stick together after impact, moving as a single combined mass. While kinetic energy is not conserved in such collisions due to some of it being converted into other forms of energy like heat or deformation, momentum is conserved and can be used to analyze the outcome.

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