Post-collision Speed Formula:
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Post-collision speed refers to the final velocity of two objects after an inelastic collision, where the objects stick together and move as a single unit. This calculation is fundamental in physics for understanding momentum conservation in collisions.
The calculator uses the inelastic collision formula:
Where:
Explanation: This formula is derived from the conservation of momentum principle, where the total momentum before collision equals the total momentum after collision in an inelastic collision.
Details: Calculating post-collision speed is crucial for analyzing vehicle accidents, sports collisions, particle physics experiments, and engineering safety designs. It helps predict the outcome of impacts and design protective measures.
Tips: Enter all masses in kilograms and velocities in meters per second. Masses must be positive values greater than zero. Velocities can be positive or negative depending on direction.
Q1: What is 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 - kinetic energy is not conserved as some energy is converted to other forms like heat or sound.
Q2: Can this formula be used for head-on collisions?
A: Yes, this formula applies to one-dimensional inelastic collisions where objects move along the same straight line before and after collision.
Q3: What if the objects are moving in opposite directions?
A: Use negative values for velocities in the opposite direction. The calculator will properly account for the direction through the sign of the velocity.
Q4: Does this work for multiple objects?
A: This specific formula is for two objects. For multiple objects, the formula extends to \( v_f = \frac{\sum m_i v_i}{\sum m_i} \) for perfectly inelastic collisions.
Q5: What are real-world applications of this calculation?
A: Vehicle crash analysis, sports physics (like football tackles), industrial machinery safety, and astronomical calculations of celestial body collisions.