How Do You Calculate the Force Between a Car and a Truck?

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To calculate the force between a car and a truck, first determine the acceleration of the system using the force exerted by the car, which is 4500 N. The acceleration of the car is calculated as 4.5 m/s², leading to the truck's acceleration being 2.25 m/s². The force exerted by the car on the truck is then found to be 13500 N, accounting for both the car and truck's masses. It's important to treat the car and truck as a single system to accurately assess the forces involved. This approach ensures that the interactions between the two vehicles are correctly represented in the calculations.
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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 4500 N.

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

Tried this:
1000kg*9.81m/s^2 = 9810 N

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

Tried this:
2000kg * 9.81m/s^2 = 19620N

Is wasn't right
I need help
 
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Why have you taken 9.81 (g) as your acceleration. You already know the force the car exerts when the driver accelearates and the mass of the car this should allow you to get the correct acceleration and this should give you the right answer for the force required for the truck
 
For some reason, you have calculated the weight of each vehicle. But that is not relevant for this problem.

Start by using Newton's 2nd law to find the acceleration of the car + truck. Once you have the acceleration, apply Newton's 2nd law to the truck alone to find out the force that the car must be pushing on the truck.
 
the acceleration of the car will be 4500N/1000kg =4.5m/s/s

will the acceleration of the truck be 4500N/2000kg =2.25m/s/s
if it is, will the force of the car on the truck be 2000kg*(2.25+4.5)=13500N
and will it be the same as the force of the truck on the car.
 
You're not accounting for the fact that the car has to push not only the car but also the truck too. And since the two objects are connected to each other, for the purposes of this problem, you can treat the car and truck, as one point object. The car has to use the force that the wheels generate to push both objects together.

~Lyuokdea
 
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