Q.

When a hollow sphere is rolling without slipping on a rough horizontal surface then the percentage of its total K.E which is Translational is

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a

72%

b

28%

c

 60%

d

40%

answer is C.

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Detailed Solution

Let's consider that the radius is R and the mass is M.
MOI =I=23MR2  for the moment of inertia.

Rolling without slipping is a hollow sphere. Where v is the speed of the center of mass and is the angular speed, v=Rω.

Translational kinetic energy = 12Mv2

Rotational Kinetic energy =122=1223MR2vR2=13Mv2

Total kinetic energy = 12Mv2+13Mv2=56Mv2

Percentage of translational energy ,

12Mv256Mv2×100=60%

Hence the correct answer is 60%.

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