A solid disk is rolling without slipping on a level surface at a constant speed of `2.00m//s`. How far can it roll up a `30^(@)` ramp before it stops? (take `g=9.8m//s^(2))`

Explanation

`mgh=K_(R)+K_(T)=(3)/(4)mv^(2)`
Here `h=ssintheta`
`thereforegssintheta=(3)/(4)v^(2)` or `s=(3v^(2))/(4gsintheta)`
`=(3xx(2.0)^(2))/(4xx9.8xx(1)/(2))=0.612m`