Here is the screenshot of questions 15 and 16 from my textbook and the answers from a popular internet resource:
Answers from an online resource (15c clearly being out of place):
Answer to question 16:
My question is: Why are we allowed to deduce from the final expression that the coefficient of friction is inversely proportional to the stopping distance? Why can we ignore g in the final expression? As well as Vf^2-Vi^2? Can you demonstrate for me in the form of proportionality statements?
If you could also show me where your favorite explanation of this concept can be found I would be appreciative. The best example I am able to find is this youtube video: https: //www.youtube.com/watch?v=zGWMa8bhCLc .Other searches through google only yield proportionality equations and do not show their relationship to proportionality statements. They may say to add a constant when converting to an equation but they do not do what the video does which is what I am looking for (even though the video still falls short for my mind).
Answers from an online resource (15c clearly being out of place):
Answer to question 16:
My question is: Why are we allowed to deduce from the final expression that the coefficient of friction is inversely proportional to the stopping distance? Why can we ignore g in the final expression? As well as Vf^2-Vi^2? Can you demonstrate for me in the form of proportionality statements?
If you could also show me where your favorite explanation of this concept can be found I would be appreciative. The best example I am able to find is this youtube video: https: //www.youtube.com/watch?v=zGWMa8bhCLc .Other searches through google only yield proportionality equations and do not show their relationship to proportionality statements. They may say to add a constant when converting to an equation but they do not do what the video does which is what I am looking for (even though the video still falls short for my mind).