Question

Which relation from linear algebra is applied in the equation that work equals force times distance?

Which relation from linear algebra is applied in the equation that work equals force times distance?

Homework Answers

Answer #1

This is the dot product relation from linear algebra. This signifies the scaler property of work.The work done on an object is found by multiplying force and distance, but there is a catch. The force and distance must be parallel to each other. Only the component of the force in the same direction as the distance traveled does any work.Hence, if a force applied is perpendicular to the distance traveled, no work is done. The equation becomes force times distance times the cosine of the angle between them.

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