Using hookes law to find impulse

[captainhooke1]

Homework Statement

You are given a FORCE versus TIME graph, which shows oscillations with:

A= 4N at the max points
period is 4s
spring constant (k)= 12.3 N/m
mass of block exhibiting oscillation is 4.9 kg


How do you find the IMPULSE delivered to the block during the 1st 2 seconds of oscillation?

2. Homework Equations :
impulse=Δp
E=kx
x(t)= Acos(wt)
w=2∏f
W=deltaEk or F(D)

The Attempt at a Solution

x(t)=Acos(wt)

x(0)=4cos0=4N
x(2)=4N

I don't know how to connect this information

 

[Delphi51]

Welcome to PF, Captain!
Do you have the graph? It depends where it starts - is F=0 at time zero or what?
The usual impulse formula is F*Δt. Your F varies with time; can you integrate F*dt over the Δt?

 

[BetoG93]

Find the function F that defines force (it is a sine or cosine, from what you told). Integrate it over the time interval from 0 to 2 seconds.