The Dot Product in Physics: Calculating the Work Done to Move an Object

In this video I go over applications of the dot product in physics and more specifically in the work done by an applied force in moving an object. When a constant force is applied to move an object, such as a wagon, at an angle relative to the direction of movement, then we are dealing with cosines and which means we can utilize the dot product. I illustrate this concept by 2 examples on applying a force to move an object a certain distance away and using the dot product to calculate the work done.

The timestamps of key parts of the video are listed below:

- Vectors in Physics: 0:00
- Example 7: 3:28
- Example 8: 6:21

This video was taken from my earlier video listed below:

- Vectors and the Geometry of Space: The Dot Product: https://youtu.be/9uqtIk5iHys
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-dot-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GbHgvpTY1mx61nTNO-Msl8

Related Videos:

Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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