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Chapter 4: Problem 55

During inelastic collision between two bodies, which of the following quantities always remain conserved? (A) Total kinetic energy (B) Total mechanical energy (C) Total linear momentum (D) Speed of each body

Short Answer

Expert verified
The total linear momentum is the quantity that is always conserved during an inelastic collision. Therefore option (C) is correct.

Step by step solution

01

Understanding the terms

\nIn an inelastic collision, kinetic energy is not conserved, even though momentum is. This is the key to understanding the answer to the question. The total mechanical energy is the sum of kinetic and potential energy. Speed of each body refers to the velocity without regard to direction.
02

Analyzing the options

\nOption (A) and (B) are incorrect because in an inelastic collision, kinetic energy and consequently total mechanical energy (being sum of kinetic and potential energy) are not conserved. Speed of each body, option (D), is also not always conserved as the individual speeds of the bodies may change.
03

Finding the correct option

\nWe have one remaining option - option (C): total linear momentum. In every kind of collision (whether elastic or inelastic), total linear momentum of a system is always conserved, provided no external force acts on it.

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