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      F i n d space t h e space m a x i m u m space v e l o c i t y space f o r space s k i d d i n g space f o r space a space c a r space m o v e d space o n space a space c i r c u l a r space t r a c k space o f space r a d i u s space 100 space m. space
T h e 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 r o a d space a n d space t y r e space i s space 0.2

      1. 1.4 space k m divided by s
      2. 14 space m divided by s
      3. 0.14 space m divided by s
      4. 140 space m divided by s

      The correct answer is: 14 space m divided by s


        1.8 m divided by s e c squared

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        A space s p h e r e space o f space m a s s space h equals fraction numerator 5 D over denominator 4 end fraction space i s space t i e d space t o space e n d space o f space a space s t r i n g space o f space l e n g t h space h equals fraction numerator 3 D over denominator 4 end fraction
a n d space r o t a t e d space t h r o u g h space t h e space o t h e r space e n d space a l o n g space a space h o r i z o n t a l space c i r c u l a r space p a t h space w i t h space
s p e e d space h equals D over 4. space T h e space w o r k space d o n e space i n space f u l l space h o r i z o n t a l space c i r c l e space i s

        A space s p h e r e space o f space m a s s space h equals fraction numerator 5 D over denominator 4 end fraction space i s space t i e d space t o space e n d space o f space a space s t r i n g space o f space l e n g t h space h equals fraction numerator 3 D over denominator 4 end fraction
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        T h e space s e c o n d apostrophe s space h a n d space o f space a space w a t c h space h a s space l e n g t h space 6 space c m. space S p e e d space o f space e n d space p o i n t
a n d space m a g n i t u d e space o f space d i f f e r e n c e space o f space v e l o c i t i e s space a t space t w o space p e r p e n d i c u l a r space p o s i t i o n s space w i l l space b e space space

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        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 1000 space m space h a s space b a n k i n g space a n g l e space
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i f space t h e 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 y r e space a n d space r o a d space i s space 0.5 space 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 1000 space m space h a s space b a n k i n g space a n g l e space
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i s 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. 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 o f space r o t a t i o n space c a n space b e space

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t h a t a c a r w i t h v e l o c i t y equals pi squared m divided by s squared space c a n p a s s s a f e o v e r i t. T h e v a l u e o f m g equals R s i n space theta i s

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t h a t a c a r w i t h v e l o c i t y equals pi squared m divided by s squared space c a n p a s s s a f e o v e r i t. T h e v a l u e o f m g equals R s i n space theta i s

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