1. What Is The Velocity Formula In Collision?

The velocity formula in collision calculates the final velocity after a perfectly inelastic collision using the principle of conservation of momentum. This formula determines the common velocity of two objects that stick together after collision.

2. How Does The Calculator Work?

The calculator uses the momentum conservation 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 applies to perfectly inelastic collisions where kinetic energy is not conserved but momentum is conserved. The objects stick together and move with a common final velocity.

3. Importance Of Final Velocity Calculation

Details: Calculating final velocity after collision is crucial in physics, engineering, and accident reconstruction. It helps predict post-collision motion and is fundamental in understanding momentum conservation principles.

4. Using The Calculator

Tips: Enter masses in kilograms and velocities in meters per second. Positive velocities indicate motion in one direction, negative velocities indicate motion in the opposite direction. All mass values must be positive.

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 after impact and move with a common velocity. Maximum kinetic energy is lost in this type of collision.

Q2: Can this formula be used for elastic collisions?
A: No, this formula is specifically for perfectly inelastic collisions. Elastic collisions require different equations as objects don't stick together.

Q3: What if velocities are in opposite directions?
A: Use negative values for velocities in the opposite direction. The calculator will correctly compute the resultant velocity based on momentum conservation.

Q4: How does mass affect the final velocity?
A: The final velocity is weighted toward the object with greater momentum (mass × velocity). A heavier object or one with higher velocity has more influence on the final result.

Q5: Is kinetic energy conserved in this collision?
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.