$F o u r space p a r t i c l e s space A comma space B comma space C space a n d space D space w i t h space m a s s e s space m subscript A equals m comma space m subscript B equals 2 space m comma space m subscript C equals 3 subscript m space a n d space m subscript D equals 4 m space a r e space a t space t h e space c o r n e r s space o f space a space s q u a r e. space T h e y space h a v e space a c c e l e r a t i o n s space o f space e q u a l space m a g n i t u d e space w i t h space d i r e c t i o n s space a s space s h o w n. space T h e space a c c e l e r a t i o n space o f space t h e space c e n t r e o f space m a s s space o f space t h e space p a r t i c l e s space i s$

$A space m o v i n g space c o i l space g a l v a n o m e t e r space h a s space a space c o i l space w i t h space 175 space t u r n s space a n d space a r e a space 1 space c m squared. space I t space u s e s space a space t o r s i o n space b a n d space o f space t o r s i o n c o n s tan t space 10 to the power of negative 6 end exponent space N minus m divided by r a d. space T h e space c o i l space i s space p l a c e d space i n space a space m a g n e t i c space f i e l d space B space p a r a l l e l space t o space i t s space p l a n e. space T h e space c o i l d e f l e c t s space b y space 1 degree space space f o r space a space c u r r e n t space o f space 1 space m A. space T h e space v a l u e space o f space B space left parenthesis i n space T e s l a right parenthesis space i s space a p p r o x i m a t e l y space colon space$

PhysicsMechanics

Mechanics

Physics

$A space s t a t i o n a r y space h o r i z o n t a l space d i s c space i s space f r e e space t o space r o t a t e space a b o u t space i t s space a x i s. space W h e n space a space t o r q u e space i s space a p p l i e d o n space i t comma space i t s space k i n e t i c space e n e r g y space a s space a space f u n c t i o n space o f space theta comma space w h e r e space theta space i s space t h e space a n g l e space b y space w h i c h space i s space h a s space r o t a t e d comma space i s space g i v e n space a s space straight k theta squared. space I f space i t s space m o m e n t space o f space i n e r t i a space i s space I space t h e n space t h e space a n g u l a r space a c c e l e r a t i o n space o f space t h e space d i s c space i s space space$

PhysicsMechanics

Mechanics

Physics

$text In SI units, the dimensions of end text square root of ϵ subscript 0 over mu subscript 0 end root text is - end text$

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Mechanics

Physics

$S h i p space A space i s space s a i l i n g space t o w a r d s space n o r t h minus e a s t space w i t h space v e l o c i t y space straight v with rightwards arrow on top equals 30 straight i with not stretchy hat on top plus 50 straight j with not stretchy hat on top km divided by hr space w h e r e space i with hat on top space p o i n t s space e a s t space a n d space j with hat on top comma space n o r t h. S h i p space B space i s space a t space a space d i s tan c e space o f space 80 space k m space e a s t space a n d space 150 space k m space n o r t h space o f space S h i p space A space a n d space i s space s a i l i n g space t o w a r d s space w e s t space a t space 10 space k m divided by h r. A space w i l l space b e space a t space m i n i m u m space d i s tan c e space f r o m space B space i n space space$

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Mechanics

Physics

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

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Mechanics

Physics

$F o u r space i d e n t i c a l space p a r t i c l e s space o f space m a s s space M space a r e space l o c a t e d space a t space t h e space c o r n e r s space o f space a space s q u a r e space o f s i d e space ‘ a ’. space W h a t space s h o u l d space b e space t h e i r space space s p e e d space i f space e a c h space o f space t h e m space r e v o l v e s space u n d e r space t h e space i n f l u e n c e space o f space o t h e r s space g r a v i t a t i o n a l space f i e l d space i n space a space c i r c u l a r space o r b i t space c i r c u m s c r i b i n g space t h e space s q u a r e space ? space$

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Mechanics

Physics

$A space s t o n e space i s space t i e d space t o space o n e space e n d space o f space a space s t r i n g space 50 space c m space l o n g space i s space w h i r l e d space i n space a space h o r i z o n t a l space c i r c l e space w i t h space a space c o n s tan t space s p e e d. space space I f space t h e space s t o n e space m a k e s space 10 space r e v o l u t i o n s space i n space 20 space s comma space w h a t space i s space t h e space m a g n i t u d e space o f space a c c e l e r a t i o n space o f space t h e space s t o n e$

PhysicsMechanics

Mechanics

Physics

$text What is the value of linear velocity, if end text g equals 10 ms to the power of negative 2 end exponent text and end text square root of 21$

PhysicsMechanics

Mechanics

Physics

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

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Mechanics

Physics

$A n space a e r o p l a n e space i s space f l y i n g space w i t h space a space u n i f o r m space s p e e d space o f space 100 space m divided by s space a l o n g space a space c i r c u l a r space p a t h space o f space r a d i u s space 100 space m. space space t h e space a n g u l a r space s p e e d space o f space t h e space a e r o p l a n e space w i l l space b e$

PhysicsMechanics

Mechanics

Physics

$I f space a space p a r t i c l e space c o v e r s space h a l f space t h e space c i r c l e space o f space r a d i u s space R space w i t h space c o n s tan t space s p e e d space t h e n$

PhysicsMechanics

Mechanics

Physics

$A space c y l i n d r i c a l space v e s s e l space p a r t i a l l y space f i l l e d space w i t h space w a t e r space i s space r o t a t e d space a b o u t space i t s space v e r t i c a l space c e n t r a l space a x i s. space space I t ’ s space s u r f a c e space w i l l$

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Mechanics

Physics

$T h e space c e n t r i p e t a l space a c c e l e r a t i o n space i s space g i v e n space b y$

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Mechanics

Physics

$A space c y c l e space w h e e l space o f space r a d i u s space 0.4 space m space c o m p l e t e s space o n e space r e v o l u t i o n space i n space o n e space s e c o n d space t h e n space t h e space a c c e l e r a t i o n space o f space a space p o i n t space o n space t h e space c y c l e space w h e e l space w i l l space b e$

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$text In SI units, the dimensions of end text square root of ϵ subscript 0 over mu subscript 0 end root text is - end text$

$text In SI units, the dimensions of end text square root of ϵ subscript 0 over mu subscript 0 end root text is - end text$

$text What is the value of linear velocity, if end text g equals 10 ms to the power of negative 2 end exponent text and end text square root of 21$

$text What is the value of linear velocity, if end text g equals 10 ms to the power of negative 2 end exponent text and end text square root of 21$

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

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$I f space a space p a r t i c l e space c o v e r s space h a l f space t h e space c i r c l e space o f space r a d i u s space R space w i t h space c o n s tan t space s p e e d space t h e n$

$I f space a space p a r t i c l e space c o v e r s space h a l f space t h e space c i r c l e space o f space r a d i u s space R space w i t h space c o n s tan t space s p e e d space t h e n$

$A space c y l i n d r i c a l space v e s s e l space p a r t i a l l y space f i l l e d space w i t h space w a t e r space i s space r o t a t e d space a b o u t space i t s space v e r t i c a l space c e n t r a l space a x i s. space space I t ’ s space s u r f a c e space w i l l$

$A space c y l i n d r i c a l space v e s s e l space p a r t i a l l y space f i l l e d space w i t h space w a t e r space i s space r o t a t e d space a b o u t space i t s space v e r t i c a l space c e n t r a l space a x i s. space space I t ’ s space s u r f a c e space w i l l$

$T h e space c e n t r i p e t a l space a c c e l e r a t i o n space i s space g i v e n space b y$

$T h e space c e n t r i p e t a l space a c c e l e r a t i o n space i s space g i v e n space b y$

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