Answer:
The two carts will experience an impulse of the same magnitude, but of opposite directions.
Explanation:
Newton's third law proves that though action and reaction are the same, but they are opposite to each other.
i.e [tex]F_{1}[/tex] = -[tex]F_{2}[/tex]
where: [tex]F_{1}[/tex] and [tex]F_{2}[/tex] have equal value.
Impulse = F x t
where F is the force on the object and t is the time of impact.
In the given question, since the collision takes place in a given time.
Then;
[tex]F_{1}[/tex] x [tex]t_{1}[/tex]= -[tex]F_{2}[/tex] x [tex]t_{2}[/tex]
⇒ [tex]F_{1}[/tex] [tex]t_{1}[/tex]= -[tex]F_{2}[/tex] [tex]t_{2}[/tex]
Thus, since the sum of the forces acting on the system are zero, then the two carts experience an impulse of the same magnitude but opposite in directions.
