Lesson: Work Done by a Force Expressed in Vector Notation Mathematics
In this lesson, we will learn how to calculate the work done by a constant force vector acting on a body over a displacement vector using the dot product.
A particle moves in a plane in which and are perpendicular unit vectors. A force acts on the particle. The particle moves from the origin to a point with the position vector m. Find the work done by the force.
A body moves under the force from point to point . Determine the work done by the force, where the displacement is measured in meters and the force in newtons.
A body moves in a plane in which and are perpendicular unit vectors. Two forces, and act on the body. The particle moves from the point with position vector m to the point m. Find the work done by the resultant of the forces.