A Rolling Disk

1. The problem statement, all variables and given/known data
A solid, Uniform disk of radius 5.00 cm and mass 1.50 kg is rolling without slipping a long a horizontal surface. The disk makes 2.00 revolution per second

a. Find the total kinetic energy (translational + rotational) of the disk

b. Find the minimum height h of the step (placed in front of the rolling disk) that will prevent the disk from rolling past it. (Hint: assume that the hight h is adjusted so that the disk rolls just up to the top of the step and stops. Conserve Energy)

2. Relevant equations
W= 2.00 Revolution x 2pi radian
V = wr
I = (1/2)mr^2
KE_rot = (1/2)Iw^2
KE = (1/2)mv^2

3. The attempt at a solution
a. I assumed that K_total = KE_rot + KE
K_total = 4.46 x 10^-3 Joules

b. I have no Idea how to solve this….help?


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