Kinetic energy appears as the difference between total and rest energy. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Total energy contains the rest part

Total energy is 125 J and rest energy is 100 J.

E=125Erest=100E=125\quad E_{\rm rest}=100
Relativistic energyRest energy and motion energy form a triangle.speedquiet leglimitbetagammarest energymotion energytotal energykinetic energy

Kinetic energy is the extra part

Subtracting rest energy leaves kinetic energy 25 J.

125100=25125- 100=25
Relativistic energyRest energy and motion energy form a triangle.speedquiet leglimitbetagammarest energymotion energytotal energykinetic energy