Consider the following special cases of collisions. In allcases, a cart of m1m1 comes in with a velocity vv and hits a cartm2m2coming in with velocity −v−v (same speed vv from the oppositedirection). Most of these are answerable with either intuition orwith mathematics. What are the final velocities of both cartsif:
a. The collision is elastic, and both carts are the same mass?(Two swords collide in a swordfight)
b. The collision is inelastic, and both carts are the same mass?(Two identical twins charge-tackle each other)
c. The collision is elastic, and the mass of the first cart ismuch larger than the mass of the second cart? (Sword hits a daggerin a swordfight)