A finite radiation force over time gives exact impulse. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Impulse accumulates over time

The force source and time window determine the impulse.

J=Ft=34=12 kgm/sJ=Ft=3\cdot 4=12\ \text{kg}\,\text{m}/\text{s}
Radiation impulseForce times time is checked as momentum units.forceSource=boundtimeWindow=4 simpulse=12 kg*m/smomentum=0 kg*m/sshowMomentumBit=0 bit

The time window is finite

No continuous pressure history is assumed.

t=4 st=4\ \text{s}
Finite impulse windowThe impulse is exact over this window.forceSource=boundtimeWindow=4 simpulse=12 kg*m/smomentum=0 kg*m/sshowMomentumBit=0 bit