Resulting force after two objects collide

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Homework Help Overview

The problem involves two cars colliding, with specific weights and velocities given. The original poster is trying to determine the impact force exerted on one car based on the force experienced by the other during the collision.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster considers Newton's third law and questions how velocity might affect the forces involved in the collision. They express uncertainty about whether the forces would be equal due to the differing velocities of the cars.

Discussion Status

Some participants reference Newton's third law as a guiding principle, while the original poster explores the implications of velocity on the forces. There is a mix of theoretical discussion and practical application, with some participants affirming the use of Newton's third law without reaching a definitive conclusion.

Contextual Notes

The original poster notes that their current studies in Statics have not covered the role of velocity in force interactions, indicating a potential gap in their understanding of the topic.

Velouria555
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Homework Statement


The car A has a weight of 4000 lb and is traveling to the right at 3 ft/s. Meanwhile a 2000 lb car B is traveling at 6 ft/s to the left. If the cars crash head-on, and at a time instant during the crash the impact force on A is 900 lb to the left, what is the magnitude and direction of the impact force exerted on B at the instant?

So essentially,

Car A (4000 lb; v= 3 ft/s) → ← Car B (2000 lb; v = 6 ft/s)

A) 900 lb to the left
B) 450 lb to the left
C) 450 lb to the right
D) 1800 lb to the left
E) 900 lb to the right

Homework Equations


F1=F2 ?

The Attempt at a Solution


This is a question in my Statics homework and we have only been learning about forces and haven't concerned ourselves with the role that v has to play. This seems like something I learned in my first class of Newtonian physics a long time ago that I can't recall.

From a theoretical standpoint, I might assume that due to Newton's third law, everything has an equal and opposite reaction, that Car A would exert the same amount of force on B: the force on car B would be 900 lb to the right.

But then, I imagine that because Car B has a greater velocity, A would have less of an impact on it.

So I assume the answer is either C or E.
Is there an equation I can use to account for velocity and Force? I tried googling it and couldn't find anything.
Thanks!
 
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Newton's third law.
 
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I feel you should go by Newtons 3rd law itself.
 
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I went with Newton's third law and got it right! Thanks!
 
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