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?

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?

Given,

Force, N

Displacement, m

Work done, W =

So, W =

⇒ W = 3×4

⇒ W = 12 J

13