plz solve - 8rgq4ybb

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plz solve

Asked by swayamagarwal2114 | 21 Jul, 2022, 05:18: PM

Expert Answer

Pressure P is the force acting on unit area .If we consider a fluid element of small size dr , then pressure dp

due to this small element dr is given as

dp = ρ g(r) dr

where ρ is uniform density and g(r) is acceleration due to gravity at distance r

g(r) = G ( m / r² )

where G is universal gravitation constant and m is mass of fluid in sphere of radius r.

begin mathsize 14px style g left parenthesis r right parenthesis space equals space G space fraction numerator begin display style 4 over 3 end style pi space r cubed space rho over denominator r squared end fraction space equals space 4 over 3 pi space G space rho space r end style

Presuure at centre due to full radius R is given as

begin mathsize 14px style P space equals space integral subscript 0 superscript R rho space g left parenthesis r right parenthesis space d r space equals space 4 over 3 pi space G space rho squared space integral subscript 0 superscript R r space d r space equals space space 2 over 3 pi space G space rho squared R squared end style

Answered by Thiyagarajan K | 21 Jul, 2022, 08:52: PM

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i just want to know why a ball falls on earth when left from a height becuse the gravitional forces of both of them is equal and opposite hence the ball must tend to be at rest in the air .I have already consulted few lecturers but their answer were complicated and tough to understand so i want to get a simpler answer so that i acn understand it in a proper way

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Asked by swayamagarwal2114 | 18 Aug, 2022, 09:04: AM

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plz solve

Asked by swayamagarwal2114 | 21 Jul, 2022, 05:18: PM

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Sir,The gravitational due to a uniform disc at a point in its axis is 2GMr/R²((1/r)-(1/√(r²+R²))).Andthe potential at a point in the axis is -2GM/R²(√(R²+r²)-r) where R-radius and r-distance in the axis. Also,We know that on differentiating gravitational potential we get the gravitational field at that point.But that is not the case for disc.On integrating the potential we are not getting the value of the field.Why is it so? Please help

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