A bucket tied at the end of a `1.6m` long string is whirled in a verticle circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position `(Takeg=10m//s^(2))`

Options

A. `4m//s`
B. `6.25m//s`
C. `16m//s`
D. none of the above

Answer

A

Explanation

`mg+N=(mv^(2))/(R )`
`N=(mv^(2))/(R )-mg`
`Nge0`
`(mv^(2))/(R )-mgge0`
`vgesqrt(gR)`
`v_(min)=sqrt(gR)=sqrt(10xx1.6)4m//s`