Lesson: Work Done by a Force Expressed in Vector Notation
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.
Sample Question Videos
Worksheet: 23 Questions • 1 Video
The position vector of a particle of mass 3 kg moving under the action of a force is given as a function of time by the relation , where and are two perpendicular unit vectors. Calculate the work done by the force between to .
A body of mass 2 kg is moving under the action of three forces, , , and , where , , and , and and are two perpendicular unit vectors, and are constants, and each force is measured in newtons. The displacement of the body is expressed by the relation , where the displacement is measured in meters, and the time is in seconds. Determine the work done by the resultant of the forces in the first 6 seconds of motion.
A body moves in a plane in which and are perpendicular unit vectors. At time seconds, its position vector is given by . Given that from to , the change in the body’s kinetic energy was 414 J, find the body’s mass.