Impact terminology in dynamics: The complete duration covering both compression (collision) and restitution phases between two bodies is termed what?

Introduction / Context:

During an impact, two bodies experience a short-duration interaction with a compression phase (approach) followed by a restitution phase (separation). The terminology clarifies time intervals used in defining the coefficient of restitution and analyzing impulse–momentum.

Given Data / Assumptions:

• Two colliding bodies in one-dimensional normal impact.
• Compression and restitution are consecutive sub-intervals.

Concept / Approach:

The phrase period of impact is commonly used for the entire contact time from first touch to separation, which includes both collision (compression) and restitution. This period is when impulsive forces act and momentum exchange occurs.

Step-by-Step Solution:

Verification / Alternative check:

Textbook definitions pair the coefficient of restitution with end states across the period of impact, not only the compression part.

Why Other Options Are Wrong:

• “Time of collision” and “period of collision” are ambiguous and often refer only to compression.
• “All the above” is not precise because some listed terms are ambiguous.
• “Contact interval” is descriptive but not the standard term in most syllabi.

Common Pitfalls:

• Equating “collision time” with the entire impact when some sources restrict it to compression; instructors typically prefer “period of impact.”

Final Answer:

period of impact