Momentum from F in component form

AI Thread Summary
To find the change in momentum of a particle under the force F = 26i – 12t^2j between t=1s and t=2s, the area under the force-time curve must be calculated. This area represents the impulse, which equals the change in momentum. While integrals are typically used for this calculation, Eric questions if there is a method to solve it without them. Understanding the relationship between force and momentum is crucial, and alternative approaches may involve approximating the area using geometric shapes. Ultimately, grasping these concepts will help in solving the problem effectively.
EricHoffman
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I am having some trouble figuring out where to start with this problem:

The force on a particle of mass m is given by:

F= 26i – 12t^2j

where F is in N and t in seconds.

What will be the change in the particle’s momentum between t=1s and t=2s?

Can anyone point me in the right direction?

Thanks,
Eric
 
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The area under a force curve is equal to the change in momentum
 
OK, so maybe this is where I'm having difficulty. From what I can gather, figuring the area under a curve requires some knowledge of integrals; something I haven't got to yet in Calc class.

Is this assumption correct? Assuming it is, is there a way to do it without using integrals?

--Eric
 

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