A tugboat T having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rop...

A tugboat T having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rope is “elastic” such that it has a stiffness k = 600 kN/m, determine the maximum stretch in the rope during the initial towing. Originally both the tugboat and barge are moving in the same direction with speeds (vT)1 = 15 km/h and (vB)1 = 10 km/h, respectively. Neglect the resistance of the water.