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Physics

Mechanics

Easy

Question

$A space c a r space i s space m o v i n g space w i t h space h i g h space v e l o c i t y space w h e n space i t space h a s space a space t u r n. space space A space f o r c e space a c t s space o n space i t space o u t w a r d l y space b e c a u s e space o f space$

$C e n t r i p e t a l f o r c e$
$C e n t r i f u g a l f o r c e$
$G r a v i t a t i o n a l f o r c e$
$A l l t h e a b o v e$

The correct answer is: $C e n t r i f u g a l space f o r c e$

$C e n t r i f u g a l space f o r c e$

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The maximum velocity (in ms^–1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is

$T h e space m a x i m u m space v e l o c i t y space left parenthesis i n space m s – 1 right parenthesis space w i t h space w h i c h space a space c a r space d r i v e r space m u s t space t r a v e r s e space a space f l a t space c u r v e space o f space r a d i u s space 150 space m space a n d space c o e f f i c i e n t space o f space f r i c t i o n space 0.6 space t o space a v o i d space s k i d d i n g space i s space$
The maximum velocity (in ms^–1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is

PhysicsMechanics

$A space p a r t i c l e space m o v e s space w i t h space c o n s tan t space s p e e d space v space a l o n g space a space c i r c u l a r space p a t h space o f space r a d i u s space r space a n d space c o m p l e t e s space t h e space c i r c l e space i n space t i m e space T. space T h e space a c c e l e r a t i o n space o f space t h e space p a r t i c l e space i s$

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PhysicsMechanics

$I n space a n space a t o m space f o r space t h e space e l e c t r o n space t o space r e v o l v e space a r o u n d space t h e space n u c l e u s comma space t h e space n e c e s s a r y space c e n t r i p e t a l space space f o r c e space i s space o b t a i n e d space f r o m space t h e space f o l l o w i n g space f o r c e space e x e r t e d space b y space t h e space n u c l e u s space o n space t h e space e l e c t r o n$

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PhysicsMechanics

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$A space p a r t i c l e space o f space m a s s space M space m o v e s space w i t h space c o n s tan t space s p e e d space a l o n g space a space c i r c u l a r space p a t h space o f space r a d i u s space r u n d e r space t h e space a c t i o n space o f space a space f o r c e space F. space space I t s space s p e e d space i s$

$A space p a r t i c l e space o f space m a s s space M space m o v e s space w i t h space c o n s tan t space s p e e d space a l o n g space a space c i r c u l a r space p a t h space o f space r a d i u s space r u n d e r space t h e space a c t i o n space o f space a space f o r c e space F. space space I t s space s p e e d space i s$

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PhysicsMechanics

$A space c a r space m o v e s space o n space a space c i r c u l a r space r o a d. space space I t space d e s c r i b e s space e q u a l space a n g l e s space a b o u t space t h e space c e n t r e space i n space e q u a l space i n t e r v a l s space o f space t i m e. space W h i c h space o f space t h e space f o l l o w i n g space s t a t e m e n t space a b o u t space t h e space v e l o c i t y space o f space t h e space c a r space i s space t r u e$

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$I f space a space c y c l i s t space m o v i n g space w i t h space a space s p e e d space o f space 4.9 space m divided by s space o n space a space l e v e l space r o a d space c a n space t a k e space a space s h a r p space c i r c u l a r space t u r n space o f space r a d i u s space 4 space m comma space t h e n space c o e f f i c i e n t space o f space f r i c t i o n space b e t w e e n space t h e space c y c l e space t y r e s space a n d space r o a d space i s$

PhysicsMechanics

$A space p o i n t space m a s s space m space i s space s u s p e n d e d space f r o m space a space l i g h t space t h r e a d space o f space l e n g t h space l comma space f i x e d space a t space O comma space i s space w h i r l e d space i n space a space h o r i z o n t a l space c i r c l e space a t space c o n s tan t space s p e e d space a s space s h o w n. space space F r o m space y o u r space p o i n t space o f space v i e w comma space s t a t i o n a r y space w i t h space r e s p e c t space t o space t h e space m a s s comma space t h e space f o r c e s space o n space t h e space m a s s space a r e space$

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PhysicsMechanics

$A space b o b space o f space m a s s space 10 space k g space i s space a t t a c h e d space t o space w i r e space 0.3 space m space l o n g. space space I t s space b r e a k i n g space s t r e s s space i s space space 4.8 cross times 10 to the power of 7 N divided by m squared. T h e space a r e a space o f space c r o s s space s e c t i o n space o f space t h e space w i r e space i s space 1 straight O to the power of negative 6 end exponent straight m squared space space T h e space m a x i m u m space a n g u l a r space v e l o c i t y space w i t h space w h i c h space i t space c a n space b e space r o t a t e d space i n space a space h o r i z o n t a l space c i r c l e$

$A space b o b space o f space m a s s space 10 space k g space i s space a t t a c h e d space t o space w i r e space 0.3 space m space l o n g. space space I t s space b r e a k i n g space s t r e s s space i s space space 4.8 cross times 10 to the power of 7 N divided by m squared. T h e space a r e a space o f space c r o s s space s e c t i o n space o f space t h e space w i r e space i s space 1 straight O to the power of negative 6 end exponent straight m squared space space T h e space m a x i m u m space a n g u l a r space v e l o c i t y space w i t h space w h i c h space i t space c a n space b e space r o t a t e d space i n space a space h o r i z o n t a l space c i r c l e$

PhysicsMechanics

$I f space a space c y c l e space w h e e l space o f space r a d i u s space 4 space m space c o m p l e t e s space o n e space r e v o l u t i o n space i n space t w o space s e c o n d s. space T h e n space a c c e l e r a t i o n space o f space a space p o i n t space o n space t h e space c y c l e space w h e e l space w i l l space b e space$

$I f space a space c y c l e space w h e e l space o f space r a d i u s space 4 space m space c o m p l e t e s space o n e space r e v o l u t i o n space i n space t w o space s e c o n d s. space T h e n space a c c e l e r a t i o n space o f space a space p o i n t space o n space t h e space c y c l e space w h e e l space w i l l space b e space$

PhysicsMechanics

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

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

PhysicsMechanics

$A space b a l l space o f space m a s s space 0.1 space K g. space i s space w h i r l e d space i n space a space h o r i z o n t a l space c i r c l e space o f space r a d i u s space 1 space m. space b y space m e a n s space o f space a space s t r i n g space a t space a n space i n i t i a l space s p e e d space o f space 10 space R. P. M. space space K e e p i n g space t h e space r a d i u s space c o n s tan t comma space t h e space t e n s i o n space i n space t h e space s t r i n g space i s space r e d u c e d space t o space o n e space q u a r t e r space o f space i t s space i n i t i a l space v a l u e. space space T h e space n e w space s p e e d space i s$

$A space b a l l space o f space m a s s space 0.1 space K g. space i s space w h i r l e d space i n space a space h o r i z o n t a l space c i r c l e space o f space r a d i u s space 1 space m. space b y space m e a n s space o f space a space s t r i n g space a t space a n space i n i t i a l space s p e e d space o f space 10 space R. P. M. space space K e e p i n g space t h e space r a d i u s space c o n s tan t comma space t h e space t e n s i o n space i n space t h e space s t r i n g space i s space r e d u c e d space t o space o n e space q u a r t e r space o f space i t s space i n i t i a l space v a l u e. space space T h e space n e w space s p e e d space i s$

PhysicsMechanics

$A space p a r t i c l e space o f space m a s s space M space i s space m o v i n g space i n space a space h o r i z o n t a l space c i r c l e space o f space r a d i u s space R space w i t h space u n i f o r m space s p e e d space V. space W h e n space i t space m o v e s space f r o m space o n e space p o i n t space t o space a space d i a m e t r i c a l l y space o p p o s i t e space p o i n t comma space i t s$

$A space p a r t i c l e space o f space m a s s space M space i s space m o v i n g space i n space a space h o r i z o n t a l space c i r c l e space o f space r a d i u s space R space w i t h space u n i f o r m space s p e e d space V. space W h e n space i t space m o v e s space f r o m space o n e space p o i n t space t o space a space d i a m e t r i c a l l y space o p p o s i t e space p o i n t comma space i t s$

PhysicsMechanics

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