Name: impact, impulse, and restitution
Uploaded: 2024-03-07T13:22:20.000Z
Duration: 1 min 30 s
Channel: JoVE

K12 Standards

Arizona Science Standards

High School

Physical Science

HS+Phy.P3

HS+Phy.P3U2.5

Impact

Impact occurs when two bodies collide, resulting in impulsive forces being exerted between them.
To analyze impact mechanics, consider two colliding particles moving along a line passing through their centers, called the line of impact, perpendicular to the contact plane.
When two particles with different initial velocities collide, they cause deformation by exerting equal and opposite impulses.
At maximum deformation, the particles move together with the same velocity.
Following this, restitution occurs, and the particles either return to their original shape or remain permanently deformed.
The equal but opposite restitution impulse pushes the particles apart. Practically, the deformation impulse is always greater than the restitution impulse.
Immediately after the separation, the particle with the lower initial velocity attains a higher velocity. However, the system&#39;s momentum remains conserved.
The principle of impulse and momentum can be applied to individual particles during the deformation and restitution phases.
The coefficient of restitution, which represents the ratio of the restitution impulse to the deformation impulse, can also be calculated based on the initial and final velocities of the particles.

impact

Impact occurs when two bodies collide, leading to the application of impulsive forces between them. Analyzing impact mechanics involves considering two colliding particles moving along a line known as the line of impact, which passes through their centers and is perpendicular to the contact plane.
When particles with different initial velocities collide, they induce deformation by applying equal and opposite impulses. At the point of maximum deformation, the particles move together with identical velocities. Subsequently, restitution takes place, causing the particles to either return to their original shape or remain permanently deformed. The equal but opposite restitution impulse acts to push the particles apart, with the deformation impulse consistently exceeding the restitution impulse in practical scenarios.
Following separation, the particle with the lower initial velocity experiences an increase in velocity, while the system&#39;s overall momentum remains conserved. The principle of impulse and momentum is applicable to individual particles throughout the deformation and restitution phases. Additionally, the coefficient of restitution, representing the ratio of the restitution impulse to the deformation impulse, can be calculated based on the initial and final velocities of the particles. This comprehensive understanding of impact mechanics provides insights into the intricate dynamics of collisions and the subsequent behavior of colliding bodies.

Impact occurs when two bodies collide, resulting in impulsive forces being exerted between them.
To analyze impact mechanics, consider two colliding ...

Education

JoVE Core

Mechanical Engineering

Unit 1

Kinetics of a Particle: Impulse and Momentum

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KEY TERMS AND CONCEPTS

impact, impulse, and restitution

Impact describes what happens when two bodies collide and impulsive forces act between them. In impact mechanics, the colliding particles move along the line of impact. This line passes through their centers and is perpendicular to the contact plane.

When particles with different initial velocities collide, they apply equal and opposite impulses and cause deformation. At maximum deformation, the particles move together with the same velocity. After that, restitution begins. Restitution is the stage when the bodies try to return to their original shape, or stay permanently deformed.

The restitution impulse is equal in size and opposite in direction to the deformation impulse. It pushes the particles apart. In practical cases, the deformation impulse is larger than the restitution impulse. After separation, the particle with the lower initial velocity gains speed, while the total momentum of the system stays conserved.

The impulse-momentum principle applies to each particle during both deformation and restitution. The coefficient of restitution measures the ratio of the restitution impulse to the deformation impulse. It can also be found from the initial and final velocities of the particles. Together, these ideas explain how colliding bodies move before, during, and after an impact.

Impact, Impulse, and Restitution

principle of linear impulse and momentum for a single particle

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Momentum and Impulse Diagrams for a Particle

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principle of linear impulse and momentum for a system of particles

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Impact describes what happens when two bodies collide and impulsive forces act between them. In impact mechanics, the colliding particles move along the line of impact. This line passes through their centers and is perpendicular to the contact plane. When particles with different initial velocities collide, they apply equal and opposite impulses and cause deformation. At maximum deformation, the particles move together with the same velocity. After that, restitution begins. Restitution is the...

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angular momentum

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Angular momentum describes rotational motion and the direction of that motion. It is defined as the moment of a particle’s linear momentum about a chosen point O. This makes it useful for describing how motion curves around a point. For a particle moving along a curved path in the x-y plane, the scalar form gives the magnitude of angular momentum. It uses the moment arm, d, which is the perpendicular distance from point O to the line of action of the linear momentum. Even when written in...

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Torque and angular momentum explain how force changes rotation. When a force acts at a distance from the center, it creates torque. A spinning top is a simple example of this idea. Moment is the rotational form of force. It shows how a force can start rotational motion. Angular momentum is the rotational form of linear momentum. It describes an object’s tendency to keep rotating. The rate of change of angular momentum can be written as a derivative. In that expression, the first term becomes...

principle of angular impulse and momentum

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Angular impulse and momentum describe how forces change an object's rotation over time. The idea connects the moment of force, or torque, with angular momentum. When the equation is integrated from an initial time to a final time, it gives the angular impulse and momentum principle. The principle defines initial and final angular momentum as the moments of a particle's linear momentum at those specific times. Angular impulse is found by integrating the moments of all forces acting on the...

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key terms and concepts

Explore impact mechanics, line of impact, deformation, restitution, and the coefficient of restitution in high school physics collisions.

Impact, Impulse, and Restitution | JoVE K12

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Impact, Impulse, and Restitution

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