Relativistic momentum keeps the same speed but adds the checked gamma factor. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Classical momentum omits gamma

Mass 4 kg and speed 3 m/s would give classical momentum 12 kg m/s.

43=124\cdot3=12
Relativistic momentumMomentum is gamma times mass times speed.momentumspeedquiet leglimitbetagammamomentumclassical momentum

Relativistic momentum includes gamma

Multiplying by gamma 5/4 gives momentum 15 kg m/s.

5443=15\frac{5}{4}\cdot4\cdot3=15
Relativistic momentumMomentum is gamma times mass times speed.momentumspeedquiet leglimitbetagammamomentumclassical momentum