Coefficient of Restitution
Claimed by Maria Moreno
Short Description of Topic
The Main Idea
The coefficient of restitution is a ratio that describes the degree of elasticity of a collision. It is used to solve problems dealing with collisions that are not perfectly elastic or inelastic. The equation that describes the coefficient of restitution involved dividing the difference in the final velocities by the difference in the initial velocity.
Consider objects A and B with initial velocities vAi and vBi and final velocities vAf and vBf. The coefficient of restitution, e is determined with the following formula:
[math]\displaystyle{ e = \frac{v_{Bf}-v_{Af}}{v_{Ai}-v_{Bi}} }[/math]
Perfectly Inelastic Collision
Perfectly Elastic Collision
A Mathematical Model
[math]\displaystyle{ \int_{t_1}^{t_2} \vec{F} dt = m_a(v-v_{Ai}) }[/math]
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