what is the work done if force F= 3xyi-y^2 moves a particle in the xy plane from (0,0) to(1,2) along the parabola y=2x^2? [closed]

Question

I know that work W=F.dl. But how can i apply this in above question? HOW CAN I FIND dl from the above question?

Answer 1

This is a math problem and is probably better suited for Mathematics SE. However, I will spare some tips on solving this problem:

• Parameterize the curve as l = (x(t),y(t)) and solve for dl. (hint: let one variable equal t and solve for the coordinate. You need x and y as functions of t, hence parameterization.)
• You need to input the parameterization into the force field function. Solve for F(x(t),y(t)).
• Solve the integral F(x(t),y(t)) dotted with dl, using appropriate limits of integration.