The Attempt at a Solution
First I would like to mention that I have solved this problem using force approach and got correct result . My problem is that when I saw the official solution , I was quite surprised to see the application of Bernoulli's equation . I believe it cannot be applied here. Here is the given solution .
To add to my surprise , I found the same problem in another book and similar use of Bernoulli . The only difference being that in that solution , they worked in two steps . First they applied Bernoulli's equation between points 1 and 3 and then used hydrostatic pressure difference between 2 and 3 .
Interestingly I found similar thread here https://www.physicsforums.com/threads/why-doesnt-bernoullis-equation-apply-in-this-problem.358431/ .
I would request experts to given their opinion whether it is correct to apply Bernoulli's equation in this problem .
@TSny , @Chestermiller
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