Physics

Problem

Two identical carts, each of mass

0.50\,\text{kg}

, move frictionlessly on a horizontal air track. Cart A travels due east at

4.0\,\text{m/s}

, while cart B travels due north at

3.0\,\text{m/s}

. The carts collide elastically. Immediately after the collision, cart A is observed to move at

3.0\,\text{m/s}

at an angle of

16^{\circ}

south of east. What is the speed of cart B immediately after the collision? a)

2.0\,\text{m/s}

5.0\,\text{m/s}

4.0\,\text{m/s}

3.2\,\text{m/s}