A solid disk of mass M rolls without slipping up a ramp, rising to a maximum hei

Question

A solid disk of mass M rolls without slipping up a ramp, rising to a maximum height H before rolling back down. Suppose a block of mass M slides up a frictionless ramp, with the same initial speed as the disk. Will the block rise to a maximum height greater than, less than, or equal to H? Explain. You can assume that the Mechanical energy of each object is conserved as it rolls or slides.

Explanation / Answer

greates as the disk undergoes static friction ->necessary condition for rolling while block mass goes through kinetic friction for same ramp same normal reaction kinetic frictional force will be less as coeff of kinetic friction is less than static one so block mass M will rise greater than the disc mass

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