Physics

Problem

1.0\,\text{kg}

cart moves to the right with speed

6.0\,\text{m}\,\text{s}^{-1}

on a smooth track while a

2.0\,\text{kg}

cart ahead of it moves to the left with speed

2.0\,\text{m}\,\text{s}^{-1}

. The carts collide head-on and the collision is perfectly elastic. Determine the speed and direction of each cart just after the collision.