Table of Contents
InElastic collisions and Elastic Collisions in one and two dimensions
In an elastic collision, the kinetic energy of the system is conserved, and the colliding objects bounce off of each other without losing any energy. In an inelastic collision, some of the kinetic energy of the system is lost, and the colliding objects stick together after the collision.
Elastic and inelastic collisions can occur in one or two dimensions. In a one-dimensional elastic collision, the colliding objects move along a straight line, and the kinetic energy of the system is conserved if the collision is elastic. In a one-dimensional inelastic collision, some of the kinetic energy of the system is lost, and the colliding objects stick together after the collision.
In a two-dimensional elastic collision, the colliding objects move in a plane, and the kinetic energy of the system is conserved if the collision is elastic. In a two-dimensional inelastic collision, some of the kinetic energy of the system is lost, and the colliding objects stick together after the collision.
The type of collision that occurs depends on the nature of the interaction between the colliding objects and the degree to which the kinetic energy of the system is conserved. In general, elastic collisions tend to occur when the colliding objects are relatively light and/or have a large separation of charge, while inelastic collisions tend to occur when the colliding objects are relatively heavy and/or have a small separation of charge.
Define Elastic and Inelastic Collision
An elastic collision is a type of collision in which the kinetic energy of the system is conserved, and the colliding objects bounce off of each other without losing any energy. In an elastic collision, the total kinetic energy of the system before and after the collision is the same.
An inelastic collision is a type of collision in which some of the kinetic energy of the system is lost, and the colliding objects stick together after the collision. In an inelastic collision, the total kinetic energy of the system before and after the collision is not the same, and some of the kinetic energy is transformed into other forms of energy, such as thermal energy or deformation energy.
Elastic and inelastic collisions can occur in one or two dimensions, and they can involve any type of object, including particles, atoms, molecules, and macroscopic objects. The type of collision that occurs depends on the nature of the interaction between the colliding objects and the degree to which the kinetic energy of the system is conserved.
What is Elastic Collision in One Dimension?
In an elastic collision in one dimension, the objects involved bounce off each other without losing any kinetic energy.
Elastic Collision in Two Dimension
In a two-dimensional elastic collision, the colliding objects move in a plane, and the kinetic energy of the system is conserved. This means that the total kinetic energy of the system before and after the collision is the same.
A two-dimensional elastic collision can be described using the laws of conservation of momentum and energy. The momentum of an object is defined as the product of its mass and velocity, and the total momentum of the system is conserved in an elastic collision. The kinetic energy of an object is defined as the product of its mass and the square of its velocity, and the total kinetic energy of the system is also conserved in an elastic collision.
To solve for the final velocities of the colliding objects in a two-dimensional elastic collision, it is necessary to use the equations of conservation of momentum and energy to set up a system of equations and solve for the unknown variables. These equations can be used to predict the outcome of a collision and to understand the behavior of colliding objects in different situations.
Two-dimensional elastic collisions are important in many fields, including physics, engineering, and sports, and they are used to model the behavior of colliding objects in a variety of situations, including collisions between particles, atoms, and macroscopic objects.
Examples of Elastic Collision
Here are ten examples of elastic collisions:
- Billiards: When a cue ball strikes another ball on a pool table, the collision is typically elastic, and the balls bounce off of each other with the same kinetic energy as before the collision.
- Tennis: When a tennis ball strikes a racket, the collision is typically elastic, and the ball bounces off of the racket with the same kinetic energy as before the collision.
- Soccer: When a soccer ball strikes a player’s foot, the collision is typically elastic, and the ball bounces off of the foot with the same kinetic energy as before the collision.
- Baseball: When a baseball strikes a bat, the collision is typically elastic, and the ball bounces off of the bat with the same kinetic energy as before the collision.
- Bouncing ball: When a ball bounces off of the ground, the collision is typically elastic, and the ball bounces off of the ground with the same kinetic energy as before the collision.
- Trampoline: When a person jumps on a trampoline, the collision between the person and the trampoline is typically elastic, and the person bounces off of the trampoline with the same kinetic energy as before the collision.
- Pogo stick: When a person jumps on a pogo stick, the collision between the person and the pogo stick is typically elastic, and the person bounces off of the pogo stick with the same kinetic energy as before the collision.
- Skateboard: When a skateboarder jumps off of a ramp, the collision between the skateboarder and the ramp is typically elastic, and the skateboarder bounces off of the ramp with the same kinetic energy as before the collision.
- Diving board: When a diver jumps off of a diving board, the collision between the diver and the board is typically elastic, and the diver bounces off of the board with the same kinetic energy as before the collision.
- Jump rope: When a jump rope hits the ground, the collision between the jump rope and the ground is typically elastic, and the
Inelastic Collision
In an inelastic collision, the kinetic energy of the system is not conserved. This happens when the colliding particles stick together after the collision. The kinetic energy is converted into other forms of energy, such as heat.
Inelastic Collision in One Dimension
Inelastic collisions occur when the kinetic energy is not conserved and there is a loss of kinetic energy in the collision.
When two objects collide inelastically, they stick together. The final velocity of the two objects is the same and is equal to the initial velocity of the slower moving object.
Collision in Two Dimension
A collision can be defined as a situation in which two particles or bodies interact with each other for a brief period of time. The nature of their interactions depends on the physical properties of the particles or bodies involved.
In two dimensions, a collision can occur between two particles or bodies if they are moving along different axes. For example, two cars moving along different lanes of a highway can collide with each other if they are not careful. Similarly, two billiard balls can collide with each other if they are moving in different directions.
The physics of collisions is a very complex topic. In this article, we will only consider the most basic aspects of collisions in two dimensions.
When two particles or bodies collide with each other, their kinetic energies are transferred to each other. The amount of kinetic energy transferred depends on the masses of the particles or bodies involved and the velocities with which they collide.
If the masses of the two particles or bodies are equal, then the kinetic energies of the two particles or bodies are also equal. However, if the masses of the two particles or bodies are different, then the kinetic energies of the two particles or bodies are also different.
The kinetic energy of a particle or body is given by the following equation:
KE = 1/2 mv^2
where,
m is the mass of the particle or body,
v is the velocity of the particle or body, and
Examples of Inelastic Collisions
Here are ten examples of inelastic collisions:
- Car crash: When two cars collide, the collision is typically inelastic, and some of the kinetic energy of the system is transformed into other forms of energy, such as deformation energy and thermal energy.
- Cannonball: When a cannonball is fired from a cannon and hits a solid object, the collision is typically inelastic, and some of the kinetic energy of the cannonball is transformed into deformation energy as the cannonball crushes or penetrates the object.
- Softball: When a softball is thrown at a catcher’s mitt, the collision is typically inelastic, and some of the kinetic energy of the softball is transformed into deformation energy as the softball compresses the mitt.
- Clay pigeon: When a clay pigeon is hit by a shotgun pellet, the collision is typically inelastic, and some of the kinetic energy of the pellet is transformed into deformation energy as the pellet destroys the clay pigeon.
- Water balloon: When a water balloon is thrown at a wall and burst, the collision is typically inelastic, and some of the kinetic energy of the water balloon is transformed into deformation energy as the balloon bursts.
- Football tackle: When a football player tackles another player, the collision is typically inelastic, and some of the kinetic energy of the players is transformed into deformation energy as the players collide.
- Punching bag: When a punch is thrown at a punching bag, the collision is typically inelastic, and some of the kinetic energy of the punch is transformed into deformation energy as the punch compresses the bag.
- Frying an egg: When an egg is fried in a pan, the collision between the egg and the pan is typically inelastic, and some of the kinetic energy of the egg is transformed into thermal energy as the egg cooks.
- Marshmallow on a stick: When a marshmallow is roasted over a fire, the collision between the marshmallow and the fire is typically inelastic, and some of the kinetic energy of the marshmallow is transformed into thermal energy as the marshmallow melts.
- Hammer and nail: When a hammer strikes a nail, the collision is typically inelastic, and some of the kinetic energy of the hammer is transformed into deformation energy as the nail is driven into a surface.
