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Coefficient Of Restitution Formula:
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The Coefficient of Restitution formula calculates the maximum height a bouncing object reaches after impact. It relates the coefficient of restitution (e) to the initial drop height and the resulting bounce height, providing insight into energy conservation during collisions.
The calculator uses the Coefficient of Restitution formula:
Where:
Explanation: The formula shows that the bounce height is proportional to the square of the coefficient of restitution multiplied by the initial height, reflecting energy loss during impact.
Details: Calculating maximum bounce height is essential for understanding collision dynamics, energy transfer, and material properties in physics, engineering, and sports science applications.
Tips: Enter coefficient of restitution (0-1) and initial height in meters. The coefficient must be between 0 (perfectly inelastic) and 1 (perfectly elastic), and initial height must be positive.
Q1: What is the coefficient of restitution?
A: The coefficient of restitution (e) is a measure of how much kinetic energy is conserved during a collision, ranging from 0 (no bounce) to 1 (perfect bounce).
Q2: Why is the coefficient squared in the formula?
A: The coefficient is squared because energy conservation involves velocity squared terms, and height relates to potential energy which depends on velocity squared.
Q3: What are typical coefficient values?
A: Superball: ~0.9, Basketball: ~0.75, Tennis ball: ~0.7, Wood: ~0.5, Clay: ~0.1-0.3 depending on conditions.
Q4: Does this formula work for all surfaces?
A: The formula assumes ideal conditions and may vary with surface material, object shape, temperature, and impact velocity in real-world scenarios.
Q5: How accurate is this calculation?
A: It provides a good theoretical estimate but actual bounce heights may differ due to air resistance, surface deformation, and other real-world factors.