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A small block rests on flat bottom of a deep bowl that is placed on a horizontal floor. There is no friction between the block and the bowl as well as between the bowl and the floor. Total mass of the bowl and the block is M. If the bowl is given a horizontal velocity by a sharp hit, the block rises to a maximum height h sliding on the walls of the bowl. Which of the following statements are CORRECT?

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To predict maximum as well as minimum kinetic energy of the bowl, we must know ratio of the masses.

Maximum kinetic energy of the bowl is Mgh.

To predict minimum kinetic energy of the bowl, we must know ratio of the masses

If the bowl is lighter than the block, minimum kinetic energy of the bowl is zero.

answer is A, B, C.

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Detailed Solution

$\frac{1}{2} μ v_{r}^{2} = m g h ∴ \frac{1}{2} m ω v^{2} = M g h$

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