Problem 1.273

A uniform rod of mass \(m=5.0 \mathrm{~kg}\) and length \(l=90 \mathrm{~cm}\) rests on a smooth horizontal surface. One of the ends of the rod is struck with the impulse \(J=3.0 \mathrm{~N} \cdot \mathrm{s}\) in a horizontal direction perpendicular to the rod. As a result, the rod obtains the momentum \(p=3.0 \mathrm{~N} \cdot \mathrm{s}\). Find the force with which one half of the rod will act on the other in the process of motion.