# Homework Help: Finding force when given momentum

1. Mar 1, 2006

### avb203796

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?

2. Mar 1, 2006

### ranger

Force is the time derivative of momentum
[force is the name of the derivative of momentum with respect to time]

So you are right.

3. Mar 1, 2006

### avb203796

Great thank you so if I then wanted to find the impulse the particle recieves 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?

4. Mar 1, 2006

### Hootenanny

Staff Emeritus
Yes, you would integrate with respect to t.

5. Mar 1, 2006

### ranger

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 [Broken]

You're good at this stuff man

EDIT: Hootenanny replied while I was typing.

Last edited by a moderator: May 2, 2017
6. Mar 1, 2006

### avb203796

Great thank you both for all your help!