Well, since the car has a dead battery, it must be using some serious girl power to push the truck. Good for her! Now, let's calculate the magnitude of the force the car applies to the truck.
To do this, we need to use Newton's third law which states that for every action, there is an equal and opposite reaction. In this case, the car pushing against the ground with a force of 4500 N creates a reaction force on the car in the opposite direction.
Since the car and the truck are pushing against each other, the force that the car applies to the truck is equal in magnitude but in the opposite direction, so it's also 4500 N.
So, the magnitude F_ct of the force that the car exerts on the truck is 4500 N. Just remember, even though the truck has a dead battery, it's not dead in terms of receiving a push!