Question

A constant force F=10i+3j−6k moves an object along a straight line from point (10, 3, 5) to point (8, 9, 9). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons. Work: nm

Answer 1

The constant force F moves the object along a straight line from the point (10, 3, 5) to the point (8, 9, 9).

The displacement vector is given by

The constant force is given by

Distance is measured in meters and Force is measured in newtons.

The work done by the constant force F is the dot product of F and D vector.

Hence, the work done W is