Physics
Grade-10
Easy

Question

Speed becomes ¼ th

  1. 16 times
  2. 1/16 times
  3. 4 times
  4. ¼ times

hintHint:

F equals m v squared over r

The correct answer is: 1/16 times


    Centrifugal force , F equals fraction numerator m v squared over denominator r end fraction
    where m , v and r are the mass, velocity and radius in the uniform circular motion.
    when the velocity becomes 1/4th,
    F subscript c superscript apostrophe equals fraction numerator m to the power of apostrophe v to the power of apostrophe 2 end exponent over denominator r to the power of apostrophe end fraction
    text  Now,  end text m to the power of apostrophe equals m
    v to the power of apostrophe equals v divided by 4
    r to the power of apostrophe equals r
    putting in the values,
    F subscript c superscript apostrophe equals fraction numerator m left parenthesis v divided by u right parenthesis squared over denominator r end fraction equals fraction numerator m v squared over denominator 16 r end fraction equals 1 over 16 open parentheses fraction numerator m v squared over denominator r end fraction close parentheses equals F subscript c over 16
    So, the centrifugal force becomes 1/16th.

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