Physics
Grade-10
Easy

Question

Mass doubles

  1. 2 times
  2. ½ times
  3. 4 times
  4. ¼ times

hintHint:

F equals m v squared over r

The correct answer is: 2 times


    Centrifugal force FC = 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 mass doubles,
    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 tau to the power of apostrophe end fraction
    text  Now,  end text m to the power of apostrophe equals 2 m
    V to the power of apostrophe equals V
    r to the power of apostrophe equals r
    putting in the values,
    F subscript c superscript apostrophe equals fraction numerator 2 m v over denominator r end fraction equals 2 open parentheses fraction numerator m v over denominator r end fraction close parentheses equals 2 F subscript c
    So, the centrifugal force becomes twice.

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