CBSE Class 11-science Answered
A small spherical object having density 2P is placed inside the liquid of density P and connected to an ideal string of length l whose other end is kept fixed so that the object can move in a vertical cirlcle, minimum speed which must be given at the bottom to just complete the vertical circle.
Asked by dhruvund8769 | 04 Feb, 2023, 23:41: PM

Force F acting on sphere when it is inside liquid , F = 

where V is volume of sphere,
is density of sphere ,
is density of liquid and g is acceleration due to gravity.


Potential energy diference ΔU between point A and point B is

Above potential energy difference equals to the minimum energy Emin required to move the sphere from point A to point B in circular path.
if
= 2P and
= P , then minimum energy Emin required to make the sphere to move in full circle is


Emin = [ V × P × g ] ( 2 l )
Answered by Thiyagarajan K | 05 Feb, 2023, 14:41: PM
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