What is the Force of the Car on the Truck in a Pushing Scenario?

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In a scenario where a 1000kg car pushes a 2000kg truck, the car's drive wheels exert a force of 4500N against the ground, which is crucial for determining the forces involved. According to Newton's third law, the force of the car on the truck is equal to the force of the truck on the car. The discussion highlights the need for a free-body diagram to clarify the forces acting on both vehicles. The acceleration of the car-truck system can be calculated using the total force and mass, leading to insights about the required force for the truck's acceleration. Understanding these dynamics is essential for solving the problem accurately.
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Homework Statement


A 1000kg car pushes a 2000kg truck which has a dead battery. When the car driver pushes on the accelerator, the drive wheels of the car push back against the ground with a force of 4500N. Rolling friction can be ignored.
What is the magnitude of the force of the car on the truck?
What is the magnitude of the force of the truck on the car?

Relevant equations
I'm guessing F=ma

The attempt at the solution
I know that the two questions should have the same answer because of Newton's third law, I'm just having a problem setting up the equations. If someone could provide a free-body diagram, that would help a lot.
I've calculated the normal and weight forces for both the car and the truck, 9800N and 19600N respectively. What I don't really understand is the push against the ground of 4500N.
 
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TheAntithesis said:

Homework Statement


A 1000kg car pushes a 2000kg truck which has a dead battery. When the car driver pushes on the accelerator, the drive wheels of the car push back against the ground with a force of 4500N. Rolling friction can be ignored.
What is the magnitude of the force of the car on the truck?
What is the magnitude of the force of the truck on the car?

Relevant equations
I'm guessing F=ma

The attempt at the solution
I know that the two questions should have the same answer because of Newton's third law, I'm just having a problem setting up the equations. If someone could provide a free-body diagram, that would help a lot.
I've calculated the normal and weight forces for both the car and the truck, 9800N and 19600N respectively. What I don't really understand is the push against the ground of 4500N.
The car's drive wheels push back against the ground with a force of 4500 N, due to friction between the tires and ground. Using Newton 3, with what force and direction does the ground push on the car? That's the force acting on the car-truck system, which accelerates the car and truck together per Newton 2. What is that acceleration of the car and truck together? What's the acceleration of the truck? What force must act on the truck by the car to produce that truck's acceleration?
 
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