Answer:
754.3 m
Explanation:
The moment of inertia of the solid disk:
[tex]I = mR^2/2[/tex]
Where m is the disk mass and R is the radius of the disk.
[tex]I = 162*1.3^2/2 = 136.89 kgm^2[/tex]
The angular kinetic energy of the disk is then:
[tex]E_k = I\omega^2/2 = 136.89 * 18^2/2 = 22176.18 J[/tex]
By law of energy conservation, this energy is converted to potential energy to pick up the 3kg block
let g = 9.8 m/s2
[tex]E_p = m_bgh = 22176.18 J[/tex]
where [tex]m_b[/tex] = 3 kg is the mass of block
[tex]3*9.8h = 22176.18[/tex]
[tex]h = \frac{22176.18}{3*9.8} = 754.3 m[/tex]
