Among the four objects empty can, a battery, and a marble and the box, the box will slide down at the bottom of the inclined plane first.
In the experiment performed in physics class, three objects nmt can a battery and marble are rolled down an inclined plane of height H without slipping.
The time taken by any solid body to reach the bottom of the incline is given by
T = √(2H(1+K²/R²)/gsin²A))
Where,
H is height of inclined,
I is moment of inertia of the body,
R is the radius of the body,
K is radius of gyration,
A is the angle of the inclined.
The time taken by the box will be given by,
T' = √(2H/g)
As we can see clearly that the time taken by the box to slide down the bottom of the inclined will be least.
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