Question

A 10.0 -g bullet is fired into a stationary block of wood having mass $m=5.00 \mathrm{kg}$ . The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 $\mathrm{m} / \mathrm{s}$ . What was the original speed of the bullet?

Name: Problem 19, Chapter 9: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-06-09T00:51:42-08:00
Duration: 3 min 21 s
Channel: Robert Daine
Description: A 10.0 -g bullet is fired into a stationary block of wood having mass m=5.00 kg . The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 m / s . What was the original speed of the bullet?

   A 10.0 -g bullet is fired into a stationary block of wood having mass $m=5.00 \mathrm{kg}$ . The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 $\mathrm{m} / \mathrm{s}$ . What was the original speed of the bullet?

Physics for Scientists and Engineers with Modern Physics

Raymond A. Serway,… 8th Edition

Chapter 9, Problem 19

Instant Answer

Solved by Expert Robert Daine

06/09/2020

Step 1

The total momentum before the collision is equal to the total momentum after the collision. Mathematically, this can be written as: \[m_{1}v_{1i} + m_{2}v_{2i} = (m_{1} + m_{2})v_f\] where $m_{1}$ and $m_{2}$ are the masses of the bullet and the block Show more…

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A 10.0 -g bullet is fired into a stationary block of wood having mass $m=5.00 \mathrm{kg}$ . The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 $\mathrm{m} / \mathrm{s}$ . What was the original speed of the bullet?

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Key Concepts

Inelastic Collisions

An inelastic collision is a type of collision where the colliding objects stick together after impact, resulting in a loss of kinetic energy but the conservation of momentum still holds. This concept is particularly relevant when analyzing scenarios where two masses merge post-collision, as it requires the use of momentum conservation to determine quantities like final velocity, even though kinetic energy is not preserved.

Conservation of Momentum

The principle of conservation of momentum states that in the absence of external forces, the total momentum of a system remains constant before and after a collision. This fundamental concept in mechanics is crucial for solving problems where objects interact, such as collisions, because it allows us to relate the momenta of individual bodies before the impact to their momenta after the impact.

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