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Homework Statement
A net force along the x-axis that has x-component F(x)= -12.0N + (0.300 N/m^2)x^2 is applied to a 3.70 kg object that is initially at the origin and moving in the -x-direction with a speed of 8.80 m/s .
Homework Equations
w= f * s
w= ∫F(x)dx (varying forces)
w = Δk
k = 1/2 mv^2
The Attempt at a Solution
I am stuck on how to approach this question. I have seen many of these types of questions answered with potential and kinetic energy, but we have not covered that in class so far. We have only covered kinetic energy and the work energy theory. I realize that the force is varying so that It will eventually turn the object around in the positive x direction so that I can calculate the speed at 7m, but I am not sure what to do with the information that I have. Any help or pointers to help me see what I am missing would be appreciated.
Thanks