KVPY SX SB Exam 2016 Question Paper

Question : 22 of 120

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Uniform ring of radius R is moving on a horizontal surface with speed v and then climbs up a ramp of inclination 30º to a height h. There is no slipping in the entire motion. Then h is

$v^2/{2g }$
$v^2/g$
${ 3v^ 2} /{2g}$
${2v ^2} /g$

Validate

Solution:

Using conservation of energy

1/2mv^2+1/2mR^2(v/R)^2=mgh

m(v^2/2+v^2/2)=mgh

h=v^2/g

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