6. A 1,600 kg train car rolling freely on level track at 16 m/s bumps into a 1.0 × 10^3 kg train car moving at 10.0 m/s in the same direction, and the two latch onto each other and continue together. What is their final speed?

16 m/s

6.0 m/s

10 m/s

14 m/s

Question

6. A 1,600 kg train car rolling freely on level track at 16 m/s bumps into a 1.0 × 10^3 kg train car moving at 10.0 m/s in the same direction, and the two latch onto each other and continue together. What is their final speed?

       16 m/s

       6.0 m/s

       10 m/s

       14 m/s

anonymous · Answer

using conservation of momentum

$$p_1+p_2=p_3$$
$$p_3=(m_1+m_2)v_f$$

anonymous · Answer

$$m_1v_{1i}+m_2v_{2i}=(m_1+m_2)v_f$$

anonymous · Answer

you have the massed and the velocities , you need final velocity so solving this you for v final is

$$v_f=\frac{(m_1v_{1i}+m_2v_{2i})}{(m_1+m_2)}$$

anonymous · Answer

hope this helps =]

anonymous · Answer

Thank you so much for your help. That really helped me.