Linear momentum problem

1. Apr 1, 2005

The figure (attached) gives the magnitude p of the linear momentum versus time
t for a particle moving along an x-axis. A force dircted along the axis acts on the particle (a) Rank the four regions indicated according to the magnitude of the force, greatest first (b) In which regins is the particle slowing.

The answers are: (consider the slopes) (a) 1,3,2,4)
(b) 3

could someone please explain the answes to me.
thanks.

Last edited: May 20, 2006
2. Apr 1, 2005

StatusX

F=dp/dt and p=mv are all you should need.

3. Apr 1, 2005

whozum

1 si referring to a the region from the line x = 0 to the point where dp/dt = 0. 2 is the region following 1 where dp/dt = 0. 3 is the region where dp/dt is negative, following 2, and preceding 4 where dp/dt = 0.

What do you know about Force and momentum? Which region experiences the greatest force? Rank them in magnitude.
b), What do you know about momentum and velocity, given a constant mass?

4. Apr 1, 2005

If you have an increase in momentum, you have an increase in force. Look at your diagram, and make the connection. It's a really simple consept.
$$F = \frac{dp}{dt}$$

Regards,