Train deceleration traveling up hill

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The discussion focuses on correcting errors in calculations related to train deceleration while traveling uphill. Participants identify issues with the resultant net force and the equation used for calculating distance. A link to HyperPhysics is provided for reference on motion concepts. After revising the calculations, the original poster confirms they arrived at the correct answer. The importance of thoroughness in mathematical calculations is emphasized.
danjsmith98
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Homework Statement
Hi I've been trying this question but keep getting the wrong answer any help would be appreciated 🙂
Relevant Equations
F=ma
IMG_20210516_141914859.jpg
Screenshot_20210516-141900-650.png
 
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Would you mind writing down the units (all of them) and see whether they check OK?
 
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Lnewqban said:
I can see two errors:
* Revise your math regarding resultant net force.
* Incorrect equation for calculating distance.

Please, see:
http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#motcon
Thanks for that mate just redid it and got the right answer will definitely be more thorough with my calculations next time!😂
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks

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