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ru sure of d question...wot happened 2 the x^n in the question...how cum it dosent appear in d answer...
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velocity of current at a distance r frm bank...= 2rv/D..
time taken by boat 2 cross river = D/u...
consider a small elemnt of width dr in which portion the speed of current can b assumed 2 b a constant..let the boat take time dt 2 cross dis dr distance..
so, (2rv/D) * dt = elemental drift.. now time dt 2 cross dis element = dr/u..
so elemental drift = (2rv/D) * (dr/u) ....integrate wid distance limits going frm 0 to D/2
ur integrating for half the distance ...frm bank 2 midpoint..the other half will have same drift...
so net drift = vD/2u
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glad... :)
jus hope i didnt confuse u srry...firstly i didnt c gravity free space nd wen i realised tht i didnt c fully filled lol...srry
but wen its not fully filled i think my explanation of sphere thingi will hold...
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k suppose gas exerts pressure...then thr is a force on the wall of bottle but no opposing force 2 counterbalance it as gravity =0...so bottle cannot stay in equilibruim wid gas...so i dont think gas also exerts press..
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no lol...more the discussion more confusing tis getting... but no pressure as nee said
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kk if its fully filled mayb it wont...but as i told pressure shud b zero...and it will tend 2 the sphere shape even if a slight possibilty thr..
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liquid will tend 2 take least energy state...now dont ask me why a sphere wud b least energy state in gravity free space..but mayb cuz it has least volume for a given surface area ....but m sure it wont remain in glass shape but take a sphere shape :P
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in gravity freee space no pressure exerted in fact it might not even touch teh walls of glass as it assumes a perfect sphere and has nothin 2 do wid the shape of glass...
i feel im quite rite in understanding tht trick cuz i cant think of ny other reason... hmmmm
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in gravity free space water assumes a perfect sphere and not shape of the bottle dear...
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ok and mayb for the trick thingi..the water pressure becums more thn air press so the bottom breaks...
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oh so u mean in gravity free spcae and the bottle is not on earth or sumthing???
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use tension methos which is easiest i feel....
consider 2 blocks connected by a complex arrangement of strings...u start frm a block and assign tension T 2 the connecting string and go on doin so...like if u encounter a pulley the string holding pulley wil hav tension 2T and so on...now finally wen ur done ...note tension holding both the blocks...their acclns will b in inverse ratio of dis tensions...
hope u can understand dis...i knw its not very clear as dis is best explained by a diagram but very srry i dunno how 2 draw here..
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pressure exerted at base of vessel is dgh...d = density, h= total height of liquid column abv bottom...pressure on wall of vessel at any point wud b dgh, where h is height of liquid column abv tht point...
and why do u think tht explanation for magic trick is wrong buddy huh???? mayb ur thinkin of sum other magic trick.....hope u got the same one were one taps the top of bottle so the the pressure is transmitted thro liquid 2 the base of vessel which finnaly cannot tolerate tht extreme pressure breaks...
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wat do u mean by local coaching or any other coaching??? coaching plays a very minor role in ur preperation tho test series of a gud coaching institute is very imp i feel...so i suggest join any coaching of ur choice..watever u call local or international ;)...and let it not b a burden on u but rather jus an insti tht guides u occasionally...
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yup very much...both liquid and gas will exert force or rather a pressure on walls of glass...but glass exerts equal and opposite force on fluid 2 make it stay stationery...if the fluid pressure on wall is more thn the max force tht can b exerted by wall of glass...it'll break and liquid will flow...dis is wat is the concept used in magic tricks where one taps the top of a beer bottle and the bottom breaks and beer flows out...
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