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Physics

Mechanics

Easy

Question

$A space c y c l i s t space r i d i n g space t h e space b i c y c l e space a t space a space s p e e d space o f space equals m g plus m over l left square bracket 2 g l left parenthesis 1 minus cos invisible function application 60 right parenthesis right square bracket m s to the power of negative 1 end exponent space t a k e s space a space t u r n space a r o u n d space a space c i r c u l a r space r o a d space o f space r a d i u s space equals m g plus m g equals 2 m g m space w i t h o u t space s k i d d i n g. space space G i v e n space g space equals space 9.8 space m s to the power of negative 2 end exponent comma space w h a t space i s space h i s space i n c l i n a t i o n space t o space t h e space v e r t i c a l$

$30^{0}$
$90^{0}$
$45^{0}$
$60^{0}$

The correct answer is: $60 to the power of 0$

$theta equals tan to the power of negative 1 end exponent space open parentheses fraction numerator v squared over denominator r g end fraction close parentheses equals tan to the power of negative 1 end exponent space open square brackets fraction numerator left parenthesis 14 square root of 3 right parenthesis squared over denominator 20 square root of 3 cross times 9.8 end fraction close square brackets equals tan to the power of negative 1 end exponent space left square bracket square root of 3 right square bracket fraction numerator m v squared over denominator r end fraction$

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