Physics

Mechanics

Easy

Question

$A space c a r space s o m e t i m e s space o v e r t u r n s space w h i l e space t a k i n g space a space t u r n. space W h e n space i t space o v e r t u r n s comma space i t space i s$

$T h e i n n e r w h e e l w h i c h l e a v e s t h e g r o u n d f i r s t$
$T h e o u t e r w h e e l w h i c h l e a v e s t h e g r o u n d f i r s t$
$B o t h t h e w h e e l s l e a v e t h e g r o u n d s i m u l \tan e o u s l y$
$E i t h e r w h e e l l e a v e s t h e g r o u n d f i r s t$

The correct answer is: $T h e space i n n e r space w h e e l space w h i c h space l e a v e s space t h e space g r o u n d space f i r s t space$

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

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

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

$A space b o d y space o f space m a s s$ $20 square root of 3$ $m o v e s space i n space a space c i r c u l a r space p a t h space w i t h space u n i f o r m space a n g u l a r space v e l o c i t y. space T h e space m o t i o n space o f space t h e space b o d y space h a s space c o n s tan t space$

PhysicsMechanics

Mechanics

Physics

$T w o space p a r t i c l e s space o f space e q u a l space m a s s e s space a r e space r e v o l v i n g space i n space c i r c u l a r space p a t h s space o f space r a d i i$ $r equals fraction numerator 34.3 over denominator 2 pi end fraction$ and $v equals fraction numerator 2 pi r over denominator T end fraction equals fraction numerator 2 pi r over denominator square root of 22 end fraction$ $space space r e s p e c t i v e l y space w i t h space t h e space s a m e space s p e e d. space T h e space r a t i o space o f space t h e i r space c e n t r i p e t a l space f o r c e s space i s$

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

$A space m o t o r space c y c l i s t space g o i n g space r o u n d space i n space a space c i r c u l a r space t r a c k space a t space c o n s tan t space s p e e d space h a s$

PhysicsMechanics

Mechanics

Physics

$B o d y space i s space m o v i n g space i n space a space c i r c u l a r space p a t h space w i t h space a space c o n s tan t space s p e e d. space I t space h a s space$

PhysicsMechanics

Mechanics

Physics

$A space s t o n e space o f space m a s s space 2 m v sin space left parenthesis 90 right parenthesis equals 2 m v space i s space t i e d space t o space a space s t r i n g space o f space l e n g t h$ $omega equals v over r equals 100 over 100 equals 1 rad divided by straight s$ $a n d space r o t a t e d space i n space a space c i r c l e space w i t h space a space c o n s tan t space s p e e d space$ $alpha equals fraction numerator d omega over denominator d t end fraction equals 0$ . $I f space t h e space s t r i n g space i s space r e l e a s e d comma space t h e space s t o n e space f l i e s.$

PhysicsMechanics

Mechanics

Physics

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

PhysicsMechanics

Mechanics

Physics

$A space b o d y space o f space m a s s space n pi D space i s space m o v i n g space i n space a space c i r c l e space o f space r a d i u s space rightwards double arrow 2000 pi D equals 9500 space w i t h space a space c o n s tan t space s p e e d space D equals fraction numerator 9500 over denominator 2000 cross times pi end fraction equals 1.5 straight m. space$ $T h e space f o r c e space o n space t h e space b o d y space i s space space a n d space i s space d i r e c t e d space t o w a r d s space t h e space c e n t r e. space space W h a t space i s space t h e space w o r k space d o n e space b y space t h i s space f o r c e space i n space m o v i n g space t h e space b o d y space o v e r space h a l f space t h e space c i r c u m f e r e n c e space o f space t h e space 7 c i r c l e$

PhysicsMechanics

Mechanics

Physics

$A space c y c l i s t space t u r n s space a r o u n d space a space c u r v e space a t space 15 space m i l e s divided by h o u r. space I f space h e space t u r n s space a t space d o u b l e space t h e space s p e e d comma space t h e space t e n d e n c y space t o space o v e r t u r n space i s$

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$A space c a r space s o m e t i m e s space o v e r t u r n s space w h i l e space t a k i n g space a space t u r n. space W h e n space i t space o v e r t u r n s comma space i t space i s$

The correct answer is: $T h e space i n n e r space w h e e l space w h i c h space l e a v e s space t h e space g r o u n d space f i r s t space$

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

Related Questions to study

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

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

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

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

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

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

$A space m o t o r space c y c l i s t space g o i n g space r o u n d space i n space a space c i r c u l a r space t r a c k space a t space c o n s tan t space s p e e d space h a s$

$A space m o t o r space c y c l i s t space g o i n g space r o u n d space i n space a space c i r c u l a r space t r a c k space a t space c o n s tan t space s p e e d space h a s$

$B o d y space i s space m o v i n g space i n space a space c i r c u l a r space p a t h space w i t h space a space c o n s tan t space s p e e d. space I t space h a s space$

$B o d y space i s space m o v i n g space i n space a space c i r c u l a r space p a t h space w i t h space a space c o n s tan t space s p e e d. space I t space h a s space$

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

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

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