Answer:
Momentum of system after collision, p = 10,000 kg-m/s
Step-by-step explanation:
It is given that,
Mass of car one, m₁ = 1000 kg
Mass of second car, m₂ = 1200 kg
The first car is going towards north and second car is going towards south.
Velocity of car one, v₁ = +20 m/s (towards north)
Velocity of second car, v₂ = - 25 m/s (towards south)
As the momentum remains conserved. So, initial momentum is equal to the final momentum. So,
![p_i=p_f=m_1v_1+m_2v_2](https://img.qammunity.org/2020/formulas/physics/high-school/196m5m0oihqb85gtke9bf4agrhc3tj55t4.png)
![p_f=1000* 20+1200* (-25)](https://img.qammunity.org/2020/formulas/physics/high-school/dsoti6zk2j8r16vl391g7jqytgwugome8a.png)
![p_f=-10,000\ kg-m/s](https://img.qammunity.org/2020/formulas/physics/high-school/ezd1n8egwkmvbhux4o60wh8rasj6wga41d.png)
Hence, after collision the momentum of the system will be 10,000 kg-m/s