Corrections to MIT Open Courseware: Systems of Varying Mass

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SUMMARY

The forum discussion addresses significant corrections to the MIT Open Courseware 8-01sc classical mechanics course, specifically regarding the application of Newton’s Laws to systems of varying mass. The primary issue identified is the incorrect algebraic methods used in the solutions, which can confuse students despite arriving at the correct answers. The flawed approach involves treating momentum as a function of time while simultaneously defining it with two variables, leading to contradictory equations. This misapplication stems from an improper use of the equation F = dp/dt alongside dp/dt = m(dv/dt) + (dm/dt)v.

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This discussion is beneficial for physics students, educators in classical mechanics, and anyone involved in curriculum development for physics courses, particularly those utilizing MIT Open Courseware materials.

haruspex
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Corrections to
MIT Open Courseware 8-01sc classical mechanics,
fall 2016
Applying Newton’s Laws to systems of Varying Mass
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My concerns with the solutions provided on the cited MIT Open Courseware web page are, mostly:


Despite arriving at the correct answers, the algebraic methods are invalid. As a result, they can be utterly confusing to the student.
The main flaw, repeated throughout, is writing a system state (momentum) as a function of time only, but effectively defining it as a function of two variables. In some places, this leads to contradictory equations.


This mangled treatment likely results from an attempt to use ##F=\frac {dp}{dt}## in conjunction with ##\frac{dp}{dt}=m\frac{dv}{dt}+\frac{dm}{dt}v##, instead of the...

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That's a bit concerning. I usually take material from MIT as being pretty much 'gospel' !
 
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