Kinetic Energy and Velocity
* Kinetic Energy (KE): The energy an object possesses due to its motion. It's calculated by KE =(1/2)mv², where:
* m =물체의 질량
* v =물체의 속도
Relationship between Mass and Velocity
If two atoms have the same kinetic energy, the one with the smaller mass must have a higher velocity to compensate. This is because the equation for kinetic energy shows that KE is directly proportional to the square of velocity (v²) and directly proportional to mass (m).
예
Imagine two atoms:
* Atom A:Mass =1 unit, Velocity =10 units
* Atom B:Mass =2 units, Velocity =5 units
Both atoms have the same kinetic energy:
* KE of Atom A =(1/2) * 1 * 10² =50 units
* KE of Atom B =(1/2) * 2 * 5² =50 units
결론
Since Atom A has a smaller mass, it needs to move faster (10 units) to have the same kinetic energy as Atom B (which moves slower at 5 units).