Finding force when given momentum

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Homework Help Overview

The discussion revolves around the relationship between momentum and force, specifically how to derive force from a given momentum function over time. The original poster presents a momentum function and questions the process of finding the corresponding force function.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand if taking the derivative of the momentum function yields the force function. Subsequent posts confirm this approach and explore the integration of force to find impulse over a specified time interval.

Discussion Status

Participants have engaged in confirming the relationship between momentum and force, with some providing guidance on integrating force to find impulse. Multiple interpretations of the problem are being explored, particularly regarding the application of calculus to derive the necessary quantities.

Contextual Notes

There is an assumption that the momentum function provided is valid and that the discussion is framed within the context of classical mechanics. The specific time interval for impulse calculation is also noted.

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If you are given the momentum of a particle as a function of time, How do you find the force as a function of time? Do you just take the derivative of the momentum function? In other words, if I am given p(t)=10.0t^2+7.0 would my force be 20t?
 
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Force is the time derivative of momentum
[force is the name of the derivative of momentum with respect to time]

So you are right.
 
Great thank you so if I then wanted to find the impulse the particle receives if the force is applied to it from 0s to 10.0s all I would have to do is integrate my force equation from 0 to 10 right?
 
Yes, you would integrate with respect to t.
 
The integral of the force over the time interval is its impulse. The impulse of a force is a vector given by the integral

http://em-ntserver.unl.edu/negahban/em373/note12/note_files/image008.gif

You're good at this stuff man :wink:

EDIT: Hootenanny replied while I was typing.
 
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Great thank you both for all your help!
 

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