- #1

Idoke

- 10

- 0

## Homework Statement

A particle in a path limited to the XY plane is acted upon by a force described in the following function:

[tex] {\bf F}(x,y)=9y \hat{\bf x}+7x \hat{\bf y} [/tex]

(*The numerical coefficients are in [tex] kg/s^2 [/tex])

What is the work that the force does along these paths, between the points A = (0,0) [m] and B = (1,2) [m]:

1. First along the X axis and then along the Y axis.

2. On the curve [tex] y=2x^2 [/tex]

3. On the curve [tex] y=\sqrt{2x} [/tex]

## Homework Equations

[tex] W_C = \int_{C} \bold{F} \cdot \mathrm{d}\bold{s} [/tex]

## The Attempt at a Solution

If this would be a one variable function of the force I would calculate the definite integral between the two points. But I am stumped by two things:

1. The function of the force is a two variable function, which I haven't learned to integrate, reading "Multiple Integers" on wikipedia got me more confused.

2. I know this is probably a non-conservative force and so the path does matter, but I don't know how to account for that in my calculations.

I feel like I should know this and it's getting kind of frustrating, but I'm sure someone could help because it all seems kind of basic.

Thanks.