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Chapter 3: Problem 5

For what type of interaction between bodies is the law of conservation of linear momentum most useful?

Short Answer

Expert verified
Answer: The law of conservation of linear momentum is most useful for interactions involving collisions, particularly inelastic collisions, where the linear momentum is conserved even if the system's kinetic energy changes.

Step by step solution

01

Concept: Conservation of Linear Momentum

Conservation of linear momentum states that the total linear momentum of a system of particles remains constant if no external forces act upon the system. The concept can be useful when studying interactions between bodies.
02

Identify situations involving linear momentum conservation

Linear momentum conservation typically applies to interactions between bodies, such as collisions or explosions. These interactions can be categorized into elastic and inelastic collisions.
03

Elastic Collisions

In elastic collisions, both linear momentum and kinetic energy are conserved. This type of collision often occurs between particles, such as in the interaction between gas molecules or between elementary particles.
04

Inelastic Collisions

In inelastic collisions, linear momentum is conserved but kinetic energy is not. Some of the kinetic energy is transformed into other forms of energy like heat or sound. An example of this type of interaction is a collision between two vehicles, or a ball hitting the ground.
05

Answer: Most useful interaction

The law of conservation of linear momentum is most useful for interactions involving collisions, especially inelastic collisions, where the linear momentum is conserved even if the system's kinetic energy changes. It provides insights into the dynamics of the interacting bodies and helps to predict their behavior post-interaction.

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