A massless thin hollow sphere is completely filled with water of mass m.If the hollow sphere rolls with a velocity v, the kinetic energy of sphere of water is?
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Explanation:
Given: Mass of hollow sphere =m and rolls with velocity =v
kinetic energy of rotation k=21Iw2
where i= moment of inertia about axis. w= angular velocity.
Etransition=21mv2+21mv2=mv2
Erotation==21Iw2+21(32mv2)r2v2=31mv2
Total K.E of system Etransition+Erotation
=mv2+31mv2=34mv2
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