Question

Find the total work done in moving a particle in a force field given by F = 2xyî + 3zĵ+ 5xk̂

along the curve x =t2

, y = 2t2+1, z = t3

-1 from t =2 to t=3?

Answer 1

$\vec Fd\vec r=4t^4+3t^3+7t^2-3,$

$A=\int_2^3\vec F d\vec r=259~J.$