Calculating Force: Car Pushing on Truck with Dead Battery

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SUMMARY

The discussion centers on calculating the force exerted by a 1000 kg car on a 2000 kg truck with a dead battery. The car applies a force of 4500 N to the ground, which is required to accelerate both the car and the truck. The key takeaway is that the force exerted on the truck is not equal to 4500 N, as this force must also account for the mass of the car. The correct approach involves determining the portion of the force necessary to accelerate only the truck.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic concepts of force and mass
  • Understanding of acceleration calculations
  • Knowledge of frictionless scenarios in physics
NEXT STEPS
  • Calculate the acceleration of both the car and the truck using Newton's Second Law.
  • Determine the force required to accelerate the truck alone.
  • Explore the implications of neglecting rolling friction in force calculations.
  • Review examples of force interactions in multi-body systems.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding force dynamics in multi-object systems.

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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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