Perfectly Elastic Collision Calculator

Characteristic	Description
Conservation of Momentum	Total momentum before = Total momentum after
Conservation of Kinetic Energy	Total kinetic energy before = Total kinetic energy after
Relative Speed of Separation	Equal to relative speed of approach
Coefficient of Restitution (E)	E = 1 (perfectly elastic)
Energy Loss	No energy loss due to deformation or other factors
Real-World Examples	Rare in macroscopic objects, more common in subatomic particle interactions
Elastic Force	Results in an instantaneous change in direction and speed
Collision Outcome	Objects bounce off each other with no loss of kinetic energy
Kinetic Energy Transformation	All kinetic energy is retained and exchanged between the colliding objects
Applications	Kinetic theory of gases, subatomic particle collisions

FAQs

How do you calculate perfectly elastic collision? In a perfectly elastic collision, both kinetic energy and momentum are conserved. To calculate the velocities of two objects after a perfectly elastic collision, you can use the following equations:

For object 1 (mass m1) and object 2 (mass m2) colliding:

1. Conservation of momentum: m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2 (where u1 and u2 are initial velocities, and v1 and v2 are final velocities).
2. Conservation of kinetic energy: (1/2) * m1 * u1^2 + (1/2) * m2 * u2^2 = (1/2) * m1 * v1^2 + (1/2) * m2 * v2^2 (where u1, u2, v1, and v2 are as defined above).

What is a perfectly elastic collision with example? A perfectly elastic collision is one in which both momentum and kinetic energy are conserved. An example could be two ideal gas molecules colliding in a vacuum, where there is no loss of energy to sound, heat, or deformation of the molecules.

What is a perfectly elastic collision equal to? A perfectly elastic collision is characterized by the fact that the relative speed of separation after the collision is equal to the relative speed of approach before the collision.

What is the formula for perfectly price elastic demand? The formula for perfectly price elastic demand is typically expressed as:

Elasticity of Demand (Ed) = (% Change in Quantity Demanded) / (% Change in Price)

In the case of perfectly price elastic demand, Ed would approach infinity because even a tiny change in price would result in an infinitely large change in quantity demanded.

Is there a perfectly elastic collision? In theory, perfectly elastic collisions can occur in idealized scenarios, such as the interaction of subatomic particles like electrons, where no kinetic energy is lost due to deformation or other factors. However, in macroscopic everyday scenarios, perfectly elastic collisions are extremely rare due to energy losses in the form of sound, heat, and deformation.

What is the formula for elastic and inelastic collisions? For elastic collisions, both momentum and kinetic energy are conserved, as described in the first answer. In inelastic collisions, momentum is conserved, but kinetic energy is not. The formulas differ based on whether kinetic energy is conserved or not.

What is perfectly elastic collision vs elastic collision? A perfectly elastic collision is a specific type of elastic collision in which not only momentum but also kinetic energy is conserved. In a general elastic collision, momentum is conserved, but kinetic energy may change due to deformation or other factors.

What is perfectly elastic collision with spring? A perfectly elastic collision with a spring is an idealized scenario in which two objects collide, and the spring, which may have been compressed or stretched before the collision, absorbs and returns all the kinetic energy without any loss.

Is perfectly elastic equal to 1? No, perfectly elastic is not equal to 1. It is a theoretical concept, and its elasticity is considered infinite because any change in price or other relevant factors results in an infinite change in quantity demanded or supplied.

How do you know if something is perfectly elastic? Something is considered perfectly elastic if even a tiny change in price or other relevant factors results in an infinitely large change in quantity demanded or supplied. In practical terms, this is an idealized concept and rarely occurs in real-world markets.

Is elastic collision equal to 1? No, an elastic collision is not equal to 1. Elasticity is a measure of the responsiveness of quantity demanded or supplied to a change in price. Elasticity values can range from 0 (perfectly inelastic) to infinity (perfectly elastic). The value of elasticity depends on the specific circumstances and is not fixed at 1.

What is an example of a perfectly elastic demand calculation? A perfectly elastic demand calculation would involve finding the percentage change in quantity demanded and dividing it by the percentage change in price. If the result is infinite, it signifies perfectly elastic demand. For example:

Ed = (% Change in Quantity Demanded) / (% Change in Price)

If the percentage change in quantity demanded is, say, 10%, and the percentage change in price is 1%, then:

Ed = 10% / 1% = 10/1 = 10 (indicating perfectly elastic demand).

What is a perfectly price elastic value? A perfectly price elastic value, in the context of demand elasticity, is represented by an elasticity coefficient (Ed) equal to infinity. This implies that a small change in price results in an infinitely large change in quantity demanded.

What is an example of a perfectly inelastic demand? A perfectly inelastic demand occurs when the quantity demanded remains constant regardless of changes in price. An example could be life-saving medications where consumers will pay any price to save their lives, so the quantity demanded remains the same.

Why is perfectly elastic collision impossible? Perfectly elastic collisions are considered impossible in macroscopic objects because they would require the absence of any energy loss due to factors like deformation, heat, or sound. In reality, some energy is always lost, making perfectly elastic collisions rare or impossible on a macroscopic scale.

What is perfectly elastic and perfectly inelastic? Perfectly elastic refers to a situation where a change in price results in an infinitely large change in quantity demanded (or supplied), while perfectly inelastic means that quantity demanded (or supplied) does not change at all in response to price changes.

Why are perfectly elastic collisions rare? Perfectly elastic collisions are rare because in most real-world scenarios, some energy is lost due to deformation, sound, or other factors during a collision. Achieving perfect elasticity would require conditions that are extremely hard to realize on a macroscopic scale.

What is the elastic collision formula problem? The problem with the elastic collision formula is that it assumes perfectly elastic conditions, which are rarely found in the real world. It doesn’t account for energy losses due to deformation or other factors, making it an idealized model.

What is the formula for the elastic collision of two objects? The formula for the elastic collision of two objects is described earlier:

Conservation of momentum: m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2 Conservation of kinetic energy: (1/2) * m1 * u1^2 + (1/2) * m2 * u2^2 = (1/2) * m1 * v1^2 + (1/2) * m2 * v2^2

What is the formula for elastic collision in two dimensions? In two dimensions, the formulas for elastic collisions are expanded to account for motion in both the x and y directions. The principles of conservation of momentum and kinetic energy still apply separately in each dimension.

What is a perfectly elastic collision with a stationary object? A perfectly elastic collision with a stationary object is a scenario where an object with initial velocity collides with a stationary object, and after the collision, both objects move away with velocities such that both momentum and kinetic energy are conserved.

What does perfectly elastic collision mean in kinetic theory of gases? In the kinetic theory of gases, a perfectly elastic collision refers to collisions between gas molecules where there is no loss of kinetic energy. These idealized collisions are used to explain various properties of gases, such as pressure and temperature.

Can a collision between two electrons be considered to be perfectly elastic? Yes, a collision between two electrons can be considered a perfectly elastic collision in theory. Electrons are fundamental particles, and under idealized conditions (e.g., in a vacuum), their collisions can be perfectly elastic because no kinetic energy is lost due to deformation or other factors.

Is perfectly elastic 0 or infinity? Perfectly elastic is represented by infinity. This means that even the slightest change in price or other relevant factors results in an infinitely large change in quantity demanded or supplied.

Is 1.0 elastic or inelastic? An elasticity coefficient of 1.0 is generally considered to be unitary elastic. It indicates that the percentage change in quantity demanded (or supplied) is equal to the percentage change in price. In this case, demand is neither perfectly elastic nor perfectly inelastic.

Is 0.25 elastic or inelastic? An elasticity coefficient of 0.25 is considered inelastic. It indicates that the quantity demanded (or supplied) is relatively unresponsive to changes in price.

What materials are perfectly elastic? Materials that are perfectly elastic are typically idealized and theoretical. In reality, most materials exhibit some degree of inelasticity due to factors like deformation and energy dissipation. However, certain materials, like rubber bands, can come close to exhibiting elasticity, especially at low strains.

Which substance is perfectly elastic? No substance in the real world is perfectly elastic because all real materials exhibit some degree of inelastic behavior, such as deformation or energy dissipation, during collisions or other interactions.

What does it mean to be perfectly elastic molecules? Perfectly elastic molecules would theoretically be molecules that do not lose any kinetic energy during collisions. In reality, all molecules exhibit some degree of inelastic behavior due to factors like intermolecular forces.

How do you prove that an elastic collision is in one? To prove that a collision is elastic in one dimension, you need to demonstrate that both momentum and kinetic energy are conserved before and after the collision. Use the formulas mentioned earlier to calculate these quantities.

What is one similarity and one difference between elastic collision and inelastic collision? Similarity: In both elastic and inelastic collisions, momentum is conserved.

Difference: In an elastic collision, kinetic energy is conserved, whereas in an inelastic collision, kinetic energy is not conserved.

What is the statement 1 in an elastic collision in one dimension? Statement 1 in an elastic collision in one dimension is that the total momentum of the system before the collision is equal to the total momentum of the system after the collision.

Is price elastic when greater than 1? Yes, price is considered elastic when the elasticity coefficient (Ed) is greater than 1. This indicates that a change in price results in a proportionally larger change in quantity demanded.

Is 1.5 price elastic? A price elasticity coefficient of 1.5 is considered elastic. It means that a 1% change in price would result in a 1.5% change in quantity demanded, indicating responsiveness to price changes.

What is a perfectly inelastic collision in real life? In real life, a perfectly inelastic collision occurs when two objects stick together after colliding and move as a single unit. An example is a car collision where the vehicles become entangled and move together after the impact.

Would salt be a good example for perfectly elastic demand? Salt is not a good example of perfectly elastic demand. Perfectly elastic demand is an idealized concept where even a tiny change in price results in an infinitely large change in quantity demanded. In reality, demand for salt is not perfectly elastic; it would respond to price changes, but not to an infinite extent.

What are 5 examples of inelastic products?

1. Necessities like bread and milk: People will continue to buy these items even if their prices increase.
2. Prescription medications: People often rely on specific medications and are less sensitive to their prices.
3. Gasoline: While consumers may reduce consumption slightly in response to price increases, it’s still a necessity for many.
4. Electricity for heating and cooling: People require a consistent supply and may not reduce usage significantly in response to price changes.
5. Insulin: A life-saving medication with inelastic demand, as individuals with diabetes require it to survive.

Can you have a perfectly inelastic collision? Yes, perfectly inelastic collisions do occur in reality. These are collisions where two objects stick together and move as a single unit after the collision, and kinetic energy is not conserved. An example is when two clay balls collide and stick together.

Why perfectly elastic demand is infinity? Perfectly elastic demand is considered to have an elasticity coefficient (Ed) equal to infinity because any change in price, no matter how small, would result in an infinitely large change in quantity demanded. It represents an extreme case where consumers are extremely responsive to price changes.

Are there no perfectly elastic collisions in reality? In reality, perfectly elastic collisions are extremely rare or non-existent on a macroscopic scale. This is because there are always factors like deformation, heat generation, and sound production that result in some energy loss during collisions.

Why is perfectly inelastic 0? Perfectly inelastic demand is characterized by an elasticity coefficient (Ed) of 0 because quantity demanded does not respond to changes in price. In other words, no matter how much the price changes, the quantity demanded remains the same.

What are two facts about perfectly inelastic collisions?

1. In a perfectly inelastic collision, the two objects stick together and move as a single unit after the collision.
2. Kinetic energy is not conserved in a perfectly inelastic collision; some of it is transformed into other forms of energy, such as heat or deformation.

Is kicking a soccer ball an elastic collision? Kicking a soccer ball is typically not an elastic collision because some of the kinetic energy from the player’s foot is transferred to the ball as well as transformed into other forms of energy, such as sound and deformation of the ball.

What is the formula for elastic force? The formula for elastic force (F) in the context of springs is given by Hooke’s Law:

F = -k * Δx

Where:

• F is the elastic force (in Newtons, N).
• k is the spring constant (in Newtons per meter, N/m).
• Δx is the displacement from the equilibrium position (in meters, m).

What is the formula of E in collision? The formula for the coefficient of restitution (E) in a collision is given by:

E = (Relative Velocity of Separation) / (Relative Velocity of Approach)

E represents how “bouncy” a collision is. In a perfectly elastic collision, E would be equal to 1, while in perfectly inelastic collisions, E would be equal to 0.

What is the formula for the elastic collision with the wall? When an object collides elastically with a wall, the formula for the final velocity (v) after the collision is:

v = -u

Where:

• v is the final velocity of the object after the collision.
• u is the initial velocity of the object before the collision.