1. What is Final Velocity in Inelastic Collision?

Final velocity in an inelastic collision refers to the common velocity that two objects move with after they collide and stick together. In inelastic collisions, kinetic energy is not conserved, but momentum is conserved.

2. How Does the Calculator Work?

The calculator uses the momentum conservation equation:

Where:

• \( v_f \) — Final velocity after collision (m/s)
• \( m_1 \) — Mass of first object (kg)
• \( m_2 \) — Mass of second object (kg)
• \( u_1 \) — Initial velocity of first object (m/s)
• \( u_2 \) — Initial velocity of second object (m/s)

Explanation: This equation is derived from the conservation of momentum principle, where the total momentum before collision equals the total momentum after collision.

3. Importance of Final Velocity Calculation

Details: Calculating final velocity in inelastic collisions is crucial for understanding collision dynamics, analyzing energy transformations, and solving problems in physics and engineering applications.

4. Using the Calculator

Tips: Enter masses in kilograms, initial velocities in meters per second. All values must be valid (masses > 0). Positive velocities indicate direction along the positive axis.

5. Frequently Asked Questions (FAQ)

Q1: What distinguishes inelastic from elastic collisions?
A: In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, only momentum is conserved - kinetic energy is transformed into other forms.

Q2: Why isn't acceleration directly used in this formula?
A: The final velocity calculation for inelastic collisions is derived from momentum conservation, which doesn't require acceleration values directly.

Q3: Can this formula be used for all types of collisions?
A: This specific formula applies only to perfectly inelastic collisions where objects stick together after impact.

Q4: What if the objects are moving in opposite directions?
A: Use negative values for velocities in the opposite direction. The calculator will correctly compute the resultant velocity.

Q5: How does mass ratio affect the final velocity?
A: The final velocity tends toward the velocity of the more massive object. If one mass is much larger, the final velocity approaches that object's initial velocity.