Finding force when given momentum

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To find the force as a function of time from a given momentum function, take the derivative of the momentum function with respect to time. For example, if p(t) = 10.0t^2 + 7.0, the force would be F(t) = 20t. To determine the impulse received by the particle from 0s to 10.0s, integrate the force equation over that time interval. The impulse is represented as the integral of the force, which is a vector quantity. This process effectively connects momentum, force, and impulse in classical mechanics.
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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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