Answer:
Explanation:
Angular speed of hoop ω = v / r
= 8.90 / .27
= 32.96 rad / s
Translational kinetic energy = 1/2 mv²
= .5 x 1.8 x 8.9²
= 71.29 J
Rotational kinetic energy = 1/2 Iω²
= 1/2 mR²x ω²
= 1/2 mv²
= 71.29 J
Total kinetic energy
= 2 x 71.29
= 142.58 J
This energy will be used to attain height
If h be the height attained
mgh = 142.58
h = 142.58 / mg
= 142.58 / 1.8 x 9.8
= 8.08 m .