2. Shown below are two carts moving toward each other. Initiallv, cart 1 with mass m1 is moving to the right with speed 131 and cart 2 with mass m2 is moving to the left with speed v2. There is a force that acts to the right on each cart as depicted below. 1- { V1 V2 F1 F2> The mass of cart 2 is 3 kg bigger than the mass of cart 1. Initiallvr [when the two depicted forces start acting on the carts} both carts are moving toward each other at the same speed. Both carts experience the same impulse from these forces of magnitude 12 Ns. The forces stop acting before the collision. After the two carts collide, theyr stick together and stop. Assume no other net external forces act on the carts. Determine the initial speed of the two carts. Show vour work. Before the collision each cart's momentum changes due to impulse: lCart 1: mlvlf = mlv +j1 Cart 1:m2v2f = m2v +J.F2 The final momentum above, becomes the initial momentum right before the collision. The final momentum is zero. Setting Ill-Ito; = Front we get: mit? +f1 m2v +f2 = [I Solving for initial speed: fl +5 24 NS m mzml 3kg 3 \"LT