Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_6

4/6 The total linear momentum of a system of five particles at time \( t = 2.2 \text{ s} \) is given by \( \mathbf{G}_{2.2} = 3.4\mathbf{i} - 2.6\mathbf{j} + 4.6\mathbf{k} \text{ kg}\cdot\text{m/s} \). At time \( t = 2.4 \text{ s} \text{,} \) the linear momentum has changed to \( \mathbf{G}_{2.4} = 3.7\mathbf{i} - 2.2\mathbf{j} + 4.9\mathbf{k} \text{ kg}\cdot\text{m/s} \). Calculate the magnitude \( F \) of the time average of the resultant of the external forces acting on the system during the interval.