The change in momentum of the car is 12,500 kg m/s
Explanation:
According to the impulse theorem, the change in momentum of an object is equal to the impulse applied on it.
The impulse applied on the car in the collision is
[tex]I=F\Delta t[/tex]
where
F is the force applied
[tex]\Delta t[/tex] is the duration of the collision
So, this is equal to the change in momentum of the car:
[tex]\Delta p = I = F \Delta t[/tex]
Here we have:
F = 12,500 N is the force exerted by the train on the car
[tex]\Delta t = 1s[/tex] is the duration of the collision
Substituting, the change in momentum of the car is
[tex]\Delta p = (12,500)(1)= 12,500 kg m/s[/tex]
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