Stručni rad

Some physical laws of exponential decay

Maja Damjanović orcid.org/0000-0002-1964-5672 ; Fakultet primijenjene matematike i informatike, Sveučilište J. J. Strossmayera u Osijeku *
Krešimir Burazin ; Fakultet primijenjene matematike i informatike, Sveučilište J. J. Strossmayera u Osijeku

* Dopisni autor.

Sažetak

Laws of exponential growth and decay naturally appear in medicine, chemistry, geology, physics, and many other scientific fields. Mathematically, they are all similar and reduce to the statement that the rate of change of a value is proportional to the value itself, meaning this value depends exponentially on its variable. After introducing the notion of the derivative as the rate of change, and describing the problem of exponential growth and decay, we will illustrate this with several well-known physical laws, namely, Newton’s law of cooling, the law of change in atmospheric pressure with respect to altitude, and the law of radioactive decay.

Ključne riječi

exponential growth and decay, derivative, speed, Newton’s law of cooling, atmospheric pressure, altitude, radioactive decay

Hrčak ID:

344023

URI

https://hrcak.srce.hr/344023

Datum izdavanja:

17.12.2025.

Podaci na drugim jezicima: hrvatski

Posjeta: 217 *