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Elastic Collision Calculator

Elastic Collision Formula:

\[ v1_f = \frac{(m1 - m2)v1}{m1 + m2} + \frac{2m2v2}{m1 + m2} \]

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1. What is Elastic Collision?

An elastic collision is a collision where both momentum and kinetic energy are conserved. In such collisions, the total kinetic energy before the collision equals the total kinetic energy after the collision.

2. How Does the Calculator Work?

The calculator uses the elastic collision formula:

\[ v1_f = \frac{(m1 - m2)v1}{m1 + m2} + \frac{2m2v2}{m1 + m2} \]

Where:

Explanation: The formula calculates the final velocity of object 1 after a perfectly elastic collision with object 2.

3. Importance of Elastic Collision Calculation

Details: Understanding elastic collisions is fundamental in physics, particularly in mechanics and particle physics. It's essential for analyzing interactions between particles, designing safety equipment, and studying celestial mechanics.

4. Using the Calculator

Tips: Enter all masses in kilograms and velocities in meters per second. Masses must be positive values.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between elastic and inelastic collisions?
A: In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, only momentum is conserved while kinetic energy is not.

Q2: Are real-world collisions perfectly elastic?
A: Most real-world collisions are not perfectly elastic as some kinetic energy is usually converted to other forms of energy like heat or sound.

Q3: What are some examples of nearly elastic collisions?
A: Collisions between billiard balls, steel balls, or atoms in a gas are often nearly elastic.

Q4: How do I calculate the final velocity of object 2?
A: You can use a similar formula swapping m1 and m2, and v1 and v2.

Q5: What happens when masses are equal?
A: When m1 = m2, the objects simply exchange velocities in an elastic collision.

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