Physics
Grade-10
Easy

Question

Radius triples

  1. 9 times
  2. 1/9 times
  3. 3 times
  4. 1/3 times

hintHint:

F equals m v squared over r

The correct answer is: 1/3 times


    Centrifugal force  straight F subscript straight C equals mv squared over straight r
    Where m, v and r are the mass, velocity and radius in the uniform circular motion.
    When the radius triples,
    straight F subscript straight C to the power of 1 equals fraction numerator straight m to the power of 1 straight v to the power of 1 squared over denominator straight r to the power of 1 end fraction
Now comma space straight m to the power of 1 equals straight m
straight v to the power of 1 equals straight v
straight r squared equals 3 straight r
Putting space in space the space values comma
straight F subscript straight c to the power of 1 equals fraction numerator mv squared over denominator left parenthesis 3 straight r right parenthesis end fraction equals fraction numerator mv squared over denominator 3 straight r end fraction equals 1 third open parentheses mv squared over straight r close parentheses equals 1 third straight F subscript straight c

So comma space the space centrifugal space force space becomes space 1 third rd.

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