Answer:
Speed of the wreck after the collision is 6.5 m/s
Explanation:
When a car hits another and sticks together, the collision would be totally inelastic. Since the both the vehicles locked together, they have the same final velocity.
Mass of car [tex]m_{1}=1060 kg[/tex]
Mass of stopped car [tex]m_{2}=1060 kg[/tex]
Initial speed of the car [tex]u_{1}=13 m/s[/tex]
Initial speed of the stopped car [tex]u_{2}=0 m/s[/tex]
The final velocity of the wreck will be
[tex]m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}[/tex]
since final speed are same, [tex]v_{1}=v_{2}=v[/tex]
[tex]m_{1}u_{1}+m_{2}u_{2}=(m_{1}+m_{2})v[/tex]
[tex]1060\times 13 +1060 \times 0 =(1060+1060)v\\v=\frac{13780}{2120} \\v=6.5 m/s[/tex]
