Calculating Force: Car Pushing on Truck with Dead Battery

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The problem involves a 1000 kg car pushing a 2000 kg truck with a dead battery, where the car exerts a force of 4500 N on the ground. The total force is not solely applied to the truck, as it must also account for the car's own acceleration. To determine the force exerted by the car on the truck, one must consider the combined mass of both vehicles. The force needed to accelerate just the truck can be calculated by applying Newton's second law. Understanding the distribution of force between the car and the truck is crucial for solving the problem accurately.
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Homework Statement



A 1000 kg car pushes a 2000 kg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push against the ground with a force of 4500N . Rolling friction can be neglected.

What is the magnitude of the force of the car on the truck?



Homework Equations





The Attempt at a Solution



I thought it would be 4500N but its not
 
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The 4500N force is needed to accelerate both the car and the truck.

What portion of that is needed to accelerate just the truck?
 
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