Work Problems | Calculus 2 Lesson 8 - JK Math

How to Solve Work Problems (Calculus 2 Lesson 8)

In this video we look at how to solve work problems using calculus. First we look at work done by a constant force which does not require calculus, but then we look at work done by a variable force, which does require calculus. There are a variety of different types of work problems that involve variable forces that can be solved using calculus, so we take an in-depth look at the most common types of problems. This includes spring problems, propulsion problems, lifting problems, and pumping problems. We discuss each type of problem individually and solve at least one example for each as well.

This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Work Done by a Constant Force Intro
1:17 Constant Force Example 1
4:15 Constant Force Example 2
6:04 Units of Work
6:42 Work Done by a Variable Force Intro
7:54 Types of Work Problems
8:56 Spring Problems Intro
10:59 Spring Problem Example 1
15:32 Spring Problem Example 2
21:57 Propulsion Problems Intro
22:58 Propulsion Problem Example
30:56 Lifting Problems Intro
32:46 Lifting Problem Example 1
36:52 Lifting Problem Example 2
41:45 Pumping Problems Intro
46:59 Pumping Problem Example
56:28 Outro

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-Josh from JK Math

#calculus

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[lokeshgnanasekar]

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[gramsta]

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[thondur]

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[Eng]

Best video I’ve found on work, thanks

[pestifygaminghacks]

Thank You so much for making this video sir. You are of great help for us students who struggle with these problems! Much love sir.

[Amoeba_Podre]

This is something that I dont think enough channels do, using calculus to revisit old ideas

[ale]

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[malekabbr]

Thanks for making this video. I can't calculate the (work) you put on your videos but after this video I can. :)

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[madelineparker]

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[hystericalnigga]

Thank you for explaining these concepts so clearly

[samirashams]

19:54 I can't understand why lower & upper bound is respectively 3cm & 8cm :d