ECE 202 Fall 2023 / Computational Tools for ECE MATLAB Exercises Exercise M2 Let's turn Exercise M1 into a design problem with user input. We'll keep everything about the cart on the left the same (cart #1) but change the cart on the right (cart #2). First, make the mass of cart #2 an unknown, then, make its initial speed the same as that of cart #1. The goal is to find the value of the unknown mass such that the speed of cart #2 after the collision is zero, i.e., it stops abruptly as a result of the collision. (This design constraint transfers all of the energy from one cart to the other, which makes for a dramatic demonstration! There is a video linked in the notes for Class #3) (a) Draw this situation, and list the known quantities as symbols with values, e.g., m, = 250g. (b) Derive a completely general expression for my in terms of all four given quantities.Exercise M1 Consider the situation below, in which two carts, traveling along the same straight line, collide elastically. 30cm/s 40cm/s LO O LO 250g 150g