$3/214$ Two barges, each with a displacement $($mass$)$ of $500$ Mg $,$ are loosely moored in calm water. A stunt driver starts his $1500-kg$ car from rest at $A,$ drives along the deck, and leaves the end of the $15$ ramp at a speed of $50k\frac{m}{h}$ relative to the barge and ramp. The driver successfully jumps the gap and brings his car to rest relative to barge $2$ at B $.$ Calculate the velocity $v_2$ imparted to barge $2$ just after the car has come to rest on the barge. Neglect the resistance of the water to motion at the low velocities involved.

Problem $3/214$