Answer:
The velocity of the truck after the collision is 20.93 m/s
Explanation:
It is given that,
Mass of car, m₁ = 1200 kg
Initial velocity of the car, [tex]v_{Ci}=25\ m/s[/tex]
Mass of truck, m₂ = 9000 kg
Initial velocity of the truck, [tex]v_{Ti}=20\ m/s[/tex]
After the collision, velocity of the car, [tex]v_{Cf}=18\ m/s[/tex]
Let [tex]v[/tex] is the velocity of the truck immediately after the collision. The momentum of the system remains conversed.
[tex]initial\ momentum=final\ momentum[/tex]
[tex]1200\ kg\times 25\ m/s+9000\ kg\times 20\ m/s=1200\ kg\times 18+9000\ kg\times v[/tex]
[tex]210000-21600=9000\ kg\times v[/tex]
[tex]v=20.93\ m/s[/tex]
So, the velocity of the truck after the collision is 20.93 m/s. Hence, this is the required solution.
