1. What is the Collision Speed Formula?

The collision speed formula calculates the final velocity of two objects after a perfectly inelastic collision. In such collisions, the objects stick together and move as one combined mass after impact, conserving momentum but not kinetic energy.

2. How Does the Calculator Work?

The calculator uses the inelastic collision formula:

Where:

• \( v_f \) — Final velocity after collision (m/s)
• \( m_1 \) — Mass of first object (kg)
• \( v_1 \) — Initial velocity of first object (m/s)
• \( m_2 \) — Mass of second object (kg)
• \( v_2 \) — Initial velocity of second object (m/s)

Explanation: This formula derives from the conservation of momentum principle, where the total momentum before collision equals the total momentum after collision in a perfectly inelastic scenario.

3. Importance of Inelastic Collision Calculation

Details: Understanding inelastic collisions is crucial in physics, engineering, and accident reconstruction. It helps predict post-collision behavior in vehicle crashes, sports impacts, and various mechanical systems.

4. Using the Calculator

Tips: Enter all masses in kilograms and velocities in meters per second. Positive velocities typically indicate movement in one direction, while negative velocities indicate movement in the opposite direction.

5. Frequently Asked Questions (FAQ)

Q1: What is a perfectly inelastic collision?
A: A perfectly inelastic collision is one where the colliding objects stick together and move as a single object after impact, maximizing energy loss while conserving momentum.

Q2: How does this differ from elastic collisions?
A: In elastic collisions, both momentum and kinetic energy are conserved, and objects bounce off each other. In inelastic collisions, only momentum is conserved.

Q3: Can velocities be negative in this calculation?
A: Yes, negative velocities indicate movement in the opposite direction of your defined positive direction.

Q4: What are real-world examples of inelastic collisions?
A: Car crashes where vehicles deform and stick together, a bullet embedding in a target, or two pieces of clay sticking together after collision.

Q5: Is kinetic energy conserved in inelastic collisions?
A: No, kinetic energy is not conserved in perfectly inelastic collisions. Some kinetic energy is converted to other forms like heat, sound, or deformation energy.