physics
mechanics
Easy

Question

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 u l a r space o r b i t space u n d e r space t h e space a c t i o n space o f space a space c e n t r a l space a t t r a c t i v e space f o r c e space i n v e r s e l y space p r o p o r t i o n a l space
t o space t h e space d i s tan c e space v. space T h e space s p e e d space o f space t h e space p a r t i c l e space i s space

  1. text  Independent of  end text a equals v squared over r equals v omega
  2. text  Proportional to  end text a to the power of straight prime equals left parenthesis 2 v right parenthesis open parentheses omega over 2 close parentheses equals a
  3. P r o p o r t i o n a l t o omega subscript 0
  4. P r o p o r t i o n a l space t o space omega

The correct answer is: text  Independent of  end text a equals v squared over r equals v omega


    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row cell T subscript 0 not stretchy rightwards double arrow v proportional to r to the power of ring operator end cell row cell text  i.e. speed of the particle is independent of  end text r text  .  end text end cell end table

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