Calculate the work done by the force

[pph1011]

Homework Statement

A particle moves from the origin to the point x=3m, y=6m along the curve y=ax^2 - bx , where a = 2.0m^-1 and b = 4.0m . It is subject to a force F=cxy i + d j , where c= 8.0N/m^2 and d= 16N .

Homework Equations

Calculate the work done by the force

The Attempt at a Solution

 

[asleight]

Homework Statement

A particle moves from the origin to the point x=3m, y=6m along the curve y=ax^2 - bx , where a = 2.0m^-1 and b = 4.0m . It is subject to a force F=cxy i + d j , where c= 8.0N/m^2 and d= 16N .

Homework Equations

Calculate the work done by the force

The Attempt at a Solution

Work is defined as:

$$\int\vec{F}d\vec{x}$$. Do you know what's next?

 

[pph1011]

what's the next?

 

[asleight]

what's the next?

Take the integral of work.

$$W=\int Fds \rightarrow W = \int\int F dx dy$$

Catch my drift?