Maximum incline angle for rolling nickel coin to reach 0.5 mm height

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Please, help me with this:

Homework Statement


A nickel coin with diameter 2 cm and thickness 2 mm starts to roll with no friction on a horizontal plane with spped 10 cm/s. At 55.2 cm from the beginning the plane is inclined up. For the coin to go up to height max= 0.5 mm, what should be the maximum angle of inclination ? The rotation frequency is 1/2pi (s^-1), and the friction force down the inclined region is constand with f = 7.5 mikro Newtons.

also, the nickle density is 8.9 g/cubic cm

Homework Equations



conservation of energy, Newton's laws, laws of mechanical motion

The Attempt at a Solution



I receive an angle of ~40 degree, but I think something's wrong. Thanks for the advice!
 
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Discussion

Welcome to PF!

Hi archivlad! Welcome to PF! :smile:

(have a mu: µ and a pi: π :wink:)
archivlad said:
A nickel coin with diameter 2 cm and thickness 2 mm starts to roll with no friction on a horizontal plane with spped 10 cm/s. At 55.2 cm from the beginning the plane is inclined up. For the coin to go up to height max= 0.5 mm, what should be the maximum angle of inclination ? The rotation frequency is 1/2pi (s^-1), and the friction force down the inclined region is constand with f = 7.5 mikro Newtons.

also, the nickle density is 8.9 g/cubic cm
…
conservation of energy, Newton's laws, laws of mechanical motion

Yup … conservation of energy is the way to go!

Show us what you tried, and where you're stuck, and then we'll know how to help. :smile: