A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by
where are unit vectors along the x-, y- and z-axis of the system respectively.
What is the work done by this force in moving the body a distance of 4 m along the z-axis?
The force acting on the body is,
As the body is constrained to move along z-axis, therefore the displacement of the body is,
Now the work done by the force is,