Answer
The work done on the object by the force is $~~32.0~J$
Work Step by Step
We can find the work done in the x-direction:
$W_x = F_x~(-5.00~m-3.00~m)$
$W_x = (3.00~N)~(-5.00~m-3.00~m)$
$W_x = -24.0~J$
We can find the work done in the y-direction:
$W_y = F_y~[4.00~m-(-2.00~m)]$
$W_y = (7.00~N)~[4.00~m-(-2.00~m)]$
$W_y = 42.0~J$
We can find the work done in the z-direction:
$W_z = F_z~(7.00~m-5.00~m)$
$W_z = (7.00~N)~(7.00~m-5.00~m)$
$W_z = 14.0~J$
We can find the work done on the object by the force:
$W = W_x+W_y+W_z$
$W = -24.0~J+42.0~J+14.0~J$
$W = 32.0~J$
The work done on the object by the force is $~~32.0~J$
