How Long Must Force F2 Act to Match the Impulse of Force F1?

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    Impulse Momentum
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Homework Help Overview

The problem involves comparing the impulses generated by two forces, F1 and F2, where F1 is three times the magnitude of F2. The scenario requires determining the time interval for which F2 must act to match the impulse produced by F1, which acts for a specified duration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between impulse and force, suggesting equations to express the equality of impulses for both forces. There is an exploration of how to represent the forces in terms of their magnitudes and the time intervals involved.

Discussion Status

Some participants have provided guidance on setting up the equations based on the impulse-momentum theorem, while others express confusion regarding the wording of the problem and the relationships between the forces. Multiple interpretations of the problem setup are being explored, but there is no explicit consensus on the next steps.

Contextual Notes

Participants note that the problem's wording is causing some confusion, particularly regarding the relationship between the forces and their respective time intervals. There is an emphasis on ensuring the correct interpretation of the forces' magnitudes as stated in the problem.

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Homework Statement



From Cutnell & Johnson PHYSICS 7th Edition Textbook - Ch 7 / Problem #1

One average force F1 has a magnitude that is three times as large as that of another average force F2. Both forces produce the same impulse. The average force F1 acts for a time interval of 3.2 ms. For what time interval does the average force F2 act?

Homework Equations



Note sure. I think...Impulse-Momentum Theorem

Ft = mvf - mvo

The Attempt at a Solution



No serious attempt made. I get tripped up in the wording of the problem. Any help would be appreciated.

Thanks!
 
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The impulse is the product F*t as you say. If the impulses for the two forces are the same, we can say this with an equation. Use this to say that Impulse 1 is the same as Impulse 2 with an equation.
 
Thanks for the explanation, though truthfully I'm still not getting it...
 
Let's try this.

Impulse 1 = F1t1
Impulse 2 = F2t2

The problem says the impulses are equal. This means that

F1t1=F2t2

Can you finish from here? Don't forget to say with an equation that F1 is three times F2.
 
I'm inclined to write it as:

(3F1t1) = (F2t2)

Still thinking about the next step...
 
You replaced F1 with three times itself. Can F1 be the same as 3F1? What is F1 the same as? Re-read the question.
 

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