A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height `h` above the centre `C`. In which case, (a). Linear velocity will be more? (b). Angular velocity will be more? (c). rotational kinetic energy will be more?

A solid sphere and a hollow sphere both of same mass and same radius

1.	A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height `h` above the centre `C`. In which case, (a). Linear velocity will be more? (b). Angular velocity will be more? (c). rotational kinetic energy will be more?
Answer» (a). `v=(J)/(m),J` and `m` are same for both (b). `omega=(Jh)/(I)` or `omegaprop(1)/(I)` J and `h` are same but `I_(solid)ltI_(hollow)` `thereforeomega_(solid)ltomega_(hollow)` (c). `K_(R)=(1)/(2)Iomega^(2)` `omegaprop(1)/(I)` `thereforeK_(R)prop(1)/(I)`

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A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height `h` above the centre `C`. In which case, (a). Linear velocity will be more? (b). Angular velocity will be more? (c). rotational kinetic energy will be more?

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