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physics

mechanics

Easy

Question

$I f a p a r t i c l e o f m a s s 1 divided by 2 m v squared equals m g l i s m o v i n g i n a h o r i z o n t a l c i r c l e o f r a d i u s v equals square root of 2 g l end root w i t h a c e n t r i p e t a l f o r c e space space g equals 10 m divided by sec squared comma space t h e t o t a l e n e r g y i s$

$θ_{2}$
$\sqrt{3} mg$
$θ_{1}$
$= \sqrt{g R} = \sqrt{10 \times 1.6}$

The correct answer is: $= \sqrt{g R} = \sqrt{10 \times 1.6}$

$table attributes columnspacing 1em rowspacing 4 pt end attributes row cell theta equals omega subscript 0 t plus 1 half a t squared not stretchy rightwards double arrow theta subscript 1 equals 1 half left parenthesis alpha right parenthesis left parenthesis 2 right parenthesis squared equals 2 alpha therefore straight K. straight E. equals omega subscript 0 equals 0 comma t equals 2 sec end cell row cell straight P. straight E. equals integral Fdr theta subscript 1 equals 2 alpha end cell row cell therefore text Total energy end text equals straight K. straight E. plus straight P. straight E. theta subscript 2 equals 6 alpha end cell end table$

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