物理
已验证计算器，公式透明
Collision Elasticity Calculator.
Calculates the coefficient of restitution for a collision between two objects, measuring how elastic the collision is.
您的输入
工作原理
- 1
Measure the relative velocity of the two objects just before collision.
- 2
Measure the relative velocity just after collision.
- 3
Divide the after velocity by the before velocity.
- 4
The result is the coefficient of restitution (e).
relative_velocity_after / max(relative_velocity_before, 0.0001)常见问题
What does a coefficient of restitution of 1 mean?
It means a perfectly elastic collision where kinetic energy is conserved and relative velocity is unchanged.
What does a coefficient of 0 mean?
It means a perfectly inelastic collision where objects stick together and relative velocity after is zero.
Can the coefficient be greater than 1?
In real collisions, no. Values above 1 would imply energy is gained, which is not physically possible.
工作原理
Calculates the coefficient of restitution for a collision between two objects, measuring how elastic the collision is.
- Measure the relative velocity of the two objects just before collision.
- Measure the relative velocity just after collision.
- Divide the after velocity by the before velocity.
- The result is the coefficient of restitution (e).
公式
此计算器背后的数学公式，供您核对结果。
Coefficient of Restitution
The ratio of relative speed after collision to relative speed before collision.
Example:
Input: v_before = 10 m/s, v_after = 8 m/s
Calculation: e = 8 / 10
Result: e = 0.8
实际应用场景
此计算在日常生活中的应用。
Sports equipment testing
Measure the bounce of a ball to ensure it meets regulations.
Example: A tennis ball must have a coefficient between 0.5 and 0.75.
Vehicle safety design
Evaluate crumple zones by measuring how much kinetic energy is absorbed.
Example: Lower e means more energy absorbed, safer for occupants.
Physics education
Demonstrate elastic and inelastic collisions in the classroom.
Example: Compare steel balls (e≈0.95) to clay (e≈0).
提示与常见错误
Tips
- Use consistent units for both velocities.
- Ensure velocities are measured along the same line.
- For real collisions, e is between 0 and 1.
- A perfectly elastic collision is an idealization.
Common Mistakes to Avoid
- Using absolute speeds instead of relative velocities.
- Forgetting that the after velocity can be zero.
- Assuming e is always constant for a material.
假设与限制
- Use the stated inputs and units.
- Results are estimates for planning and education.
- Check measurements and source data before making an important decision.