coefficient of restitution: meaning, definition, pronunciation and examples
Very LowTechnical / Scientific
Quick answer
What does “coefficient of restitution” mean?
A dimensionless number, typically between 0 and 1, that measures the ratio of the final to initial relative speed between two objects after they collide.
Audio
Pronunciation
Definition
Meaning and Definition
A dimensionless number, typically between 0 and 1, that measures the ratio of the final to initial relative speed between two objects after they collide.
In physics and engineering, it quantifies the "bounciness" or elasticity of a collision. A value of 1 signifies a perfectly elastic collision (no kinetic energy loss), while 0 signifies a perfectly inelastic collision (maximum kinetic energy loss, objects stick together).
Dialectal Variation
British vs American Usage
Differences
No lexical or conceptual differences. Spelling conventions follow national norms (e.g., 'behaviour' vs. 'behavior' in surrounding text).
Connotations
Identical technical connotations in both varieties.
Frequency
Equally low frequency and confined to specialised physics, engineering, and sports science contexts in both regions.
Grammar
How to Use “coefficient of restitution” in a Sentence
The coefficient of restitution [of/for material X] is [value].To find/calculate/determine the coefficient of restitution.A [high/low] coefficient of restitution indicates...Vocabulary
Collocations
Examples
Examples of “coefficient of restitution” in a Sentence
verb
British English
- The lab group will coefficient the restitution values for different ball types. (Note: 'coefficient' is not standardly used as a verb. This is a nonce/creative usage.)
American English
- Researchers need to coefficient the restitution for the new polymer. (Note: 'coefficient' is not standardly used as a verb. This is a nonce/creative usage.)
adverb
British English
- The balls collided coefficient-of-restitution-dependently. (Extremely unnatural, constructed for illustration)
American English
- The impact was analysed coefficient-of-restitution-wise. (Extremely unnatural, constructed for illustration)
adjective
British English
- The restitution-coefficient value was recorded. (Hyphenated compound adjective)
American English
- The coefficient-of-restitution experiment yielded clear data. (Phrasal adjective)
Usage
Meaning in Context
Business
Virtually never used.
Academic
Core term in undergraduate physics and engineering mechanics courses, specifically in chapters on momentum and collisions.
Everyday
Extremely rare. Might appear in popular science articles about sports equipment (e.g., golf balls, basketballs).
Technical
Essential in fields like automotive crash testing, ballistics, sports engineering, and robotics simulation for accurate collision modeling.
Vocabulary
Synonyms of “coefficient of restitution”
Strong
Neutral
Weak
Vocabulary
Antonyms of “coefficient of restitution”
Watch out
Common Mistakes When Using “coefficient of restitution”
- Confusing it with the 'coefficient of friction'. Using it to describe non-collision energy loss. Mispronouncing 'restitution' (not 'restitution').
FAQ
Frequently Asked Questions
In classical mechanics, no. A value greater than 1 would imply a gain in kinetic energy, violating conservation laws unless an external source (like a spring) is involved.
No, it depends on the materials of the two colliding objects, their shapes, impact velocity, and often temperature.
Elasticity is a general material property. The coefficient of restitution is a specific, measurable outcome of a collision that is influenced by elasticity, but also by geometry, friction, and plastic deformation.
In designing sports equipment (balls, clubs), vehicle safety features (crush zones), robotics, and animation physics engines to simulate realistic bouncing.
A dimensionless number, typically between 0 and 1, that measures the ratio of the final to initial relative speed between two objects after they collide.
Coefficient of restitution is usually technical / scientific in register.
Coefficient of restitution: in British English it is pronounced /ˌkəʊɪˈfɪʃ(ə)nt əv ˌrɛstɪˈtjuːʃ(ə)n/, and in American English it is pronounced /ˌkoʊəˈfɪʃənt əv ˌrɛstəˈtuʃən/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of REST-it-TU-tion: it's about how much of the relative speed is RESTored after a colliSION. High restitution = high restoration of speed.
Conceptual Metaphor
BOUNCINESS IS A NUMBER. ENERGY LOSS IN A COLLISION IS A FRACTION.
Practice
Quiz
What does a coefficient of restitution of 0.8 imply?