A 50.0-kg boy runs at a speed of 10.0 m/s and jumps onto a cart as shown in the figure. The cart is initially at rest. i) Specify the kind of "collision" ii) If the speed of the cart with the boy on it is 2.50 m/s, what is the mass of the cart? iii) what is the principle involved in this problem? iv) After you denote the forces on both sketches, explain why you are able apply this principle to this problem?