Given force equation, solve for work.

[bfusco]

Homework Statement

Assume that a force acting on an object is given by , where the constants = 2.9 and = 3.9 . Determine the work done on the object by this force as it moves in a straight line from the origin to = (10.0 + 21.5).

The Attempt at a Solution

well... what i did first was i found the length of the tangent of the distance. (using the pythagorean theorem, to get 23.7m).
i don't really know what to do with the other given information. i thought maybe i could plug the given constants into the equation graph and then find the length of the tangent of the force (which i got to be 4.86 N) and then just plug into the equation W=FΔx, but that is incorrect.

apparently the answer is roughly 1000 J, but I am obviously not getting that as my answer.

 

[emailanmol]

Hey,i think you missed writing the equation. the entire problem has not been provided

 

[bfusco]

Hey,i think you missed writing the equation. the entire problem has not been provided

hahahaha...oops sorry the force is given by the equation F=axi+byj (i, j being the components of the force i (hat) and j (hat)). the constants a=2.9 N/m and b=3.9 N/m

 

[emailanmol]

Hey.

See break force and displacement along the axis.
Force along X axis is given by ax (i)
Remember this force is not a constant and depends on the position of particle on x-axis given by x.

Displacement along x in moving from x to x +dx is given by dx (i)
which makes dW=ax(dx).
Integrate to get workDo similarly for y.

What do you see?