# Homework Help: Energy conservation in two dimensions

1. Jul 14, 2013

### SPiazzo

In an experiment, one of the forces exerted on a proton is F = −αx^2i , where α = 14.4 N/m2.
(a) How much work does F do when the proton moves along the straight-line path from the point (0.10 m, 0) to the point (0.10 m, 0.5 m)?
(b) Along the straight-line path from the point (0.09 m, 0) to the point (0.32 m, 0)?
(c) Along the straight-line path from the point (0.32 m, 0) to the point (0.09 m, 0)?
If F is conservative, what is the potential-energy function for it? Let U = 0 when x = 0. (Use the following as necessary: x and α. If F is not conservative, enter NC.)

I have no idea how to do this one, there where no relevant examples in my textbook and my teacher did not teach this in our class if we have reached the topic at all.

2. Jul 14, 2013

### darkxponent

Hey SPiazzo! Can you write the Formulae for the Work done on an object By a force?

3. Jul 14, 2013

### szynkasz

Work is a line integral of a force along a path. Can you calculate it?