Maximum Force - Linear momentum

[skp123]

Homework Statement

Assuming that the force F acting on a 2 kg box, as it passes
horizontally through a channel (see Fig. a), varies with time
in the manner shown in Fig. b, determine the maximum
force F0, applied to the box. The velocity of the box reaches
5 m/s when t = 8 s. Assume that the box is at rest at t = 0.
Neglect friction between the wall of the channel and the
box.


http://img715.imageshack.us/img715/1446/37196096.jpg

Homework Equations

mv1 + sum integral F = mv2 - sorry for writting integral with words

The Attempt at a Solution

So this is how i proceed.
At the beginning v1=0. No velocity

in x direction
m*0 + integral from 0 to 8 Fx = 2*5

Now we integrate and find the force. But i am not sure if this is the right way to do it.
Can anybody help me a little bit

 

[skp123]

Plese people. I need a little help.