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Work Energy Theorem Application

A bucket fill...

Question

A bucket filled with water is tied to a rope of length $0.5 m$ and is rotated in a circular path in vertical plane. the least velocity it should have at the lowest point of circle so that water does not spill is $(g = 10 m s^{- 2})$ :

A

\sqrt{5} m / s

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B

\sqrt{10} m / s

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C

5 m / s

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D

2 \sqrt{5} m / s

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Solution

The correct option is C $5 m / s$
Minimum velocity at bottom $V = \sqrt{5 g ℓ}$ $= \sqrt{5 \times 10 \times 0.5}$ $= 5 m / s$

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