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A person projected a small ball with spe...

A person projected a small ball with speed U along the floor from point A if x=3R, determine the required speed U so that the ball return to A after moving the circular surace in the vertical plane from B to C and becoming projectile at C.

A

`sqrt(5gR)`

B

`sqrt((17Rg)/(2))`

C

`sqrt((5gR)/(2))`

D

`(5)/(2)sqrt(gR)`

Text Solution

Verified by Experts

`V^(2)=V^(2)-4gR`
`3R=Vsqrt((2(2R))/(g))`

`V^(2)=U^(2)-2g2R`
`U^(2)=9gR//44+4gR`
`U^(2)=25gR//4`
`H-Noverset(rarr)=C:`
Convalent and Coordinate bonds are present.

Ionic, Covalent and Coordinate bonds are present.
`U=sqrt((25gR)/(4))=(5)/(2)sqrt(gR)`
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