Two smooth carts A and B of masses 2kg and 3kg respectively move along the same straight, frictionless track. Cart A travels at 5m s−1 and cart B at 2m s−1, both in the same direction. After they collide, the speed of cart A is observed to be 1.5m s−1 in the original direction.
a. (i) Calculate the speed of cart B immediately after the collision.
b. (ii) Determine the amount of kinetic energy lost in the collision.