Calculating Impulse and Force in a Head-On Collision

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SUMMARY

The discussion focuses on calculating impulse and force during a head-on collision between a 500kg truck and a 400kg car. Using the Law of Conservation of Momentum, it was determined that the car's velocity post-collision is 2.75 meters per second. The impulse experienced by the car can be calculated by determining the change in momentum, while the average force during the impact can be derived by dividing the impulse by the impact duration of 0.6 seconds. The discussion highlights the importance of understanding the direction of motion for accurate calculations.

PREREQUISITES
  • Understanding of the Law of Conservation of Momentum
  • Knowledge of impulse and its relation to force
  • Basic principles of physics regarding collisions
  • Ability to perform calculations involving mass, velocity, and time
NEXT STEPS
  • Calculate impulse using the formula: Impulse = Change in Momentum
  • Learn how to derive average force from impulse using the formula: Average Force = Impulse / Time
  • Explore the concept of peak force during collisions and how it differs from average force
  • Study different types of collisions and their impact on momentum and energy conservation
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the dynamics of collisions and impulse calculations.

pinksparkles2
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Homework Statement



A 500kg truck collides head on with a 400kg car. They stick together and continue traveling west at 6.00 meters per second. The truck initially travels at 13.0 meters per second. Calculate the impulse and force for the car given that the time of impact was 0.6 seconds.

The Attempt at a Solution



Using the Law of the Conservation of Momentum, I figured out that the car's velocity is 2.75 meters per second and that is as far as I got.
 
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pinksparkles2 said:
A 500kg truck collides head on with a 400kg car. They stick together and continue traveling west at 6.00 meters per second. The truck initially travels at 13.0 meters per second. Calculate the impulse and force for the car given that the time of impact was 0.6 seconds.

Using the Law of the Conservation of Momentum, I figured out that the car's velocity is 2.75 meters per second and that is as far as I got.
There's a piece of information missing. Your answer is correct if the truck was initially heading West. The other possibility is that the car was heading West, very fast, and the truck East.
For each individual vehicle, its change in momentum is the impulse from the other.
The impulse is the integral of force over time, so you can get the average force during the impact by dividing the impulse by the duration. But that could be quite a bit less than the peak force.
 
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