Q: A thin hollow sphere of mass ‘m’ is completely filled with a liquid of mass ‘m’ when the sphere rolls with a velocity ‘v’ kinetic energy of the system is (neglect friction) Sol: Total energy = KE + rotational KE $\large = \frac{1}{2}(2m ) v^2 + \frac{1}{2}(\frac{2}{3}mr^2 ) \omega^2 $ $\large = \frac{1}{2}(2m ) v^2 + \frac{1}{3} m v^2 $ $\large = \frac{4}{3}m v^2 $ Also Read :A hollow sphere of mass m starting from rest rolls down, without slipping, on an inclined plane...What is the gravitational self energy of a thin hollow sphere of mass M and radius R ?One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment…A hollow sphere has a small hole in it. On lowering the sphere in a tank of water, it is observed…A sphere of mass m is moving with a velocity i + 3 j . The coefficient of restitution between the…A sphere of mass m, impinges obliquely on a sphere of mass M which is at rest. The directions of…A sphere of mass M radius R2 has a concentric cavity of radius R1 as shown in figure. The force F…A sphere of mass 0.2 kg is attached to an inextensible string of lenght 0.5 m whose upper end is…A tube of length L is filled completely with an incompressible liquid of mass M and closed at both…A solid sphere of mass 500 gm and radius 10 cm rolls down on an inclined plane with out slipping.… Post navigation A wheel having moment of inertia 2 kg-m^2 about its vertical axis, rotates at the rate of 60 rpm about this axis… A spring mass system (mass m , spring constant k , natural length l) rests in equilibrium on a horizontal disc …..