Lesson: Work and Integration Mathematics

In this lesson, we will learn how to use integration to find the work done by a variable force.

Lesson Plan

Students will be able to

use integration to find the work done by a variable force acting on a body over a given displacement.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Playlist

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02:44

Lesson Worksheet

Q1:

Complete the following: If a force given by acts in the direction of the positive , then the work done by the force in moving a particle from to , where equals .

Q2:

True or False: If an object moves along a straight line by a varying force , then the work done to move the object from to is given by .

Q3:

The figure shows the magnitude of a force acting on a body as it moves a distance . Given that the force is measured in newtons and the distance is measured in meters, determine the work done in joules by the force to move the body from to .