Answer to Question #169758 in Physics for festus

Question

A 10000kg rail road car travelling at a speed of 24.0m/s strikes an identical car at rest. If the cars look together as a result of the collision, what is their common speed immediately after collision?

Answer 1

Let's apply the law of conservation of momentum:

$$m_1v_1=(m_1+m_2)v_c,$$ $$v_c=\dfrac{m_1v_1}{m_1+m_2}=\dfrac{10000\ kg\cdot24\ \dfrac{m}{s}}{10000\ kg+10000\ kg}=12\ \dfrac{m}{s}.$$