Answer :
To determine the marksman's velocity after firing the gun, we apply the conservation of momentum principle, resulting in a final velocity of around 0.89 m/s.
To find the marksman's velocity after firing the gun, we can use the principle of conservation of momentum. The total initial momentum is equal to the total final momentum. The equation to solve is: (4.00 kg + 81.0 kg) * 0 = 4.00 kg * 181 m/s + 81.0 kg * v.
Once calculated, the marksman's velocity after firing the gun is approximately 0.89 m/s.