/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 10 Why don't we need to consider ex... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 10

Why don't we need to consider external forces acting on a system as its constituent particles undergo a collision?

Short Answer

Expert verified
External forces are not considered during a collision because the collision time is typically so short that these forces do not have enough time to significantly affect the system's total momentum. Therefore, under the principle of conservation of momentum and Newton's Third Law of Motion, the total momentum of the system remains constant if only internal forces are involved.

Step by step solution

01

Understanding the Law of Conservation of Momentum

The law of conservation of momentum states that the total linear momentum of a closed system (a system that does not interact with an external force) remains constant, no matter what events occur within it. This law is applicable when no external forces are acting on the system.
02

Understanding Newton's Third Law of Motion

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This implies that any force exerted on a body will create a force of equal magnitude but in the opposite direction on the body exerting the force.
03

Explaining the irrelevance of external forces during collision

During a collision, the forces exerted by the particles on one another are internal to the system. While these internal forces can alter the momenta of the individual particles, they always come in action-reaction pairs that cancel each other out, thus leaving the total momentum of the system unchanged. If the collision time is small, any external forces that might be present do not have enough time to significantly change the momentum of the system. This leads to the conclusion that external forces do not significantly affect the system in the time frame of the collision.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Is it possible to have an inelastic collision in which all the kinetic energy of the colliding objects is lost? If so, give an example. If not, why not?

Two identical satellites are going in opposite directions in the same circular orbit when they collide head-on. Describe their subsequent motion if the collision is (a) elastic or (b) totally inelastic.

On an icy road, a 1200 -kg car moving at \(50 \mathrm{km} / \mathrm{h}\) strikes a \(4400-\mathrm{kg}\) truck moving in the same direction at \(35 \mathrm{km} / \mathrm{h}\). The pair is soon hit from behind by a 1500 -kg car speeding at \(65 \mathrm{km} / \mathrm{h},\) and all three vehicles stick together. Find the speed of the wreckage.

Find the center of mass of a uniform slice of pizza with radius \(R\) and angular width \(\theta\)

Physicians perform needle biopsies to sample tissue from internal organs. A spring-loaded gun shoots a hollow needle into the tissue; extracting the needle brings out the tissue core. A particular device uses 8.3 -mg needles that take 90 ms to stop in the tissue, which exerts a stopping force of \(41 \mathrm{mN}\). (a) Find the impulse imparted by the tissue. (b) How far into the tissue does the needle penetrate?
See all solutions

Recommended explanations on Physics Textbooks

Dynamics

Read Explanation

Fundamentals of Physics

Read Explanation

Thermodynamics

Read Explanation

Waves Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Famous Physicists

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.