(Solved): The figure shows two carts before a collision; cart \( m_{1} \) is moving with velocity \( v_{0} \) ...

The figure shows two carts before a collision; cart \( m_{1} \) is moving with velocity \( v_{0} \) toward cart \( m_{2} \) at rest. The carts slide without friction on the air track. (A) If the carts stick together when they collide, what will the final velocity be? (B) If the carts collide elastically, what will the final velocity of cart \( C_{2} \) be? DATA: \( \quad m_{1}=1.2 \mathrm{~kg} ; \quad m_{2}=1.6 \mathrm{~kg} ; \quad v_{0}=2.4 \mathrm{~m} / \mathrm{s} ; \)