One glider has a mass of m1 and moves to the right at a speed of v1. Another glider has a mass of m; and moves to the left at a speed of v;. They undergo a head-on collision. The collision is cushioned by a spring whose spring constant is k. 1. Determine the compression of the spring as a function of the velocity ul of the first glider {that changes in the process of collision and can be positive or negative). What laws of physics do you use? 2. Use your knowledge of calculus to find the maximum compression of the spring. 3. What is the velocity and momentum of each glider at the time when the compression of the spring reaches its maximum value? 4. Consider an example, assuming m1=1.2 kg, m2=1.5 kg, v1=3.1 m/s, v2=3.5 m/s, and k=4.iix10'1l N/m