The force F sub x acting on a particle is shown as a function of X. If an object starts at the origin (of a graph) moving to the right with a kinetic energy of 45.5 J, how much kinetic energy does it have at x = 3.0 m ?

Question

The force F sub x acting on a particle is shown as a function of X.   If an object starts at the origin (of a graph) moving to the right with a kinetic energy of 45.5 J, how much kinetic energy does it have at x = 3.0 m ?

I have no clue how to do about solving this.  Any help would be greatly appreciated.  Thank you!!

Damon · Answer

work done = integral Fx dx from 0 to 3 calculate that then Ke final = Ke initial + work done

Damon · Answer

If Fx is on a graph, you need the area under the curve from x = 0 to x = 3