What is the moment of inertia of an object that rolls without slipping down a 3.5-m- high incline starting from rest, and has a final velocity of 7.3 m/s? express the moment of inertia as a multiple of mr2, where m is the mass of the object and r is its radius. (hint: use total conservation of mechanical energy)

I = 0.287 MR²

Explanation:

given,

height of the object = 3.5 m

initial velocity = 0 m/s

final velocity  = 7.3 m/s

moment of inertia = ?

Using total conservation of mechanical energy

change in potential energy will be equal to change in KE (rotational) and KE(transnational)

PE = KE(transnational) + KE (rotational)

v = r ω

I = 0.287 MR²

6/12=1/2

step-by-step explanation: