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Physics

Grade-10

Easy

Question

Speed becomes ¼ th

16 times
1/16 times
4 times
¼ times

hint Hint:

$F equals m v squared over r$

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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