(Solved): 2. (Conservation of momentum) Bumper car A of mass 350 kg and car B of mass 250 kg are colliding wi ...

2. (Conservation of momentum) Bumper car A of mass 350 kg and car B of mass 250 kg are colliding with each other at a speed of \( 36 \mathrm{~km} / \mathrm{h} \) and \( 21.6 \mathrm{~km} / \mathrm{h} \) respectively. (a) Suppose car A and B both travel to the right. Car A bumps into car B from behind and they stick together after collision. Find the final speed of both cars (in \( \mathrm{m} / \mathrm{s} \) ). (b) Suppose the two cars are having head-on collision. After the collision, car A still travels in the original direction but with one-fourth of its original speed. Find the speed of car B after collision (in \( \mathrm{m} / \mathrm{s} \) ).