# Homework Help: Using hookes law to find impulse

1. Dec 10, 2011

### captainhooke1

1. The problem statement, all variables and given/known data
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. Relevant equations:
impulse=Δp
E=kx
x(t)= Acos(wt)
w=2∏f
W=deltaEk or F(D)

3. 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

2. Dec 10, 2011

### 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?

3. Dec 10, 2011

### 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.